## For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].

Steady state of the KPZ equation on an interval and Liouville quantum mechanics

## This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

Aggregation-Fragmentation of Clusters in the Framework of gTASEP with Attraction Interaction

## We study the probability distribution of entanglement in the quantum symmetric simple exclusion process, a model of fermions hopping with random Brownian amplitudes between neighboring sites.

Entanglement distribution in the quantum symmetric simple exclusion process.

## We demonstrate our approach on three well-studied lattice models, the Fredrickson-Andersen and East kinetically constrained models, and the symmetric simple exclusion process.

Optimal sampling of dynamical large deviations via matrix product states.

## For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].

Steady state of the KPZ equation on an interval and Liouville quantum mechanics

## This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

Aggregation-Fragmentation of Clusters in the Framework of gTASEP with Attraction Interaction

## In this short introductory review, I discuss possible questions that a quantum version of the MFT could address and how analysing quantum simple exclusion processes yields pieces of answers to these questions.

Can the macroscopic fluctuation theory be quantized?

## Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A.

Universal properties of the Kardar-Parisi-Zhang equation with quenched columnar disorders.

10.1209/0295-5075/ac25a9

## For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].

Steady state of the KPZ equation on an interval and Liouville quantum mechanics

10.1088/1751-8121/ac2597

## In this short introductory review, I discuss possible questions that a quantum version of the MFT could address and how analysing quantum simple exclusion processes yields pieces of answers to these questions.

Can the macroscopic fluctuation theory be quantized?

10.1134/S1063779621020027

## This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

Aggregation-Fragmentation of Clusters in the Framework of gTASEP with Attraction Interaction

10.1088/1742-5468/ac1662

## We consider the totally asymmetric simple exclusion process (TASEP) with open boundaries, at the edge of the maximal current (MC) phase.

Riemann surface crossover for the spectral gaps of open TASEP

10.1088/1751-8121/abfe73

## We revisit the nonequilibrium phase transition between a spatially homogeneous low-density phase and a phase-separated high-density state in the deterministic sublattice totally asymmetric simple exclusion process with stochastic defect.

Defect-induced anticorrelations in molecular motor traffic

## In [AAV] Amir, Angel and Valk{o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the speed of several second-class particles in the TASEP rarefaction fan.

The TAZRP speed process

10.1016/J.CNSNS.2021.105981

## Being a vital two-dimensional multibody interacting particle system in nonlinear science and complex systems, exclusion network fuses totally asymmetric simple exclusion process into underlying complex network dynamics.

physical mechanism of Equiprobable EXCLUSION NETWORK with heterogeneous interactions IN PHASE TRANSITIONS: Analytical analyses of steady state evolving from initial state

10.1103/PhysRevE.104.014146

## We study the probability distribution of entanglement in the quantum symmetric simple exclusion process, a model of fermions hopping with random Brownian amplitudes between neighboring sites.

Entanglement distribution in the quantum symmetric simple exclusion process.

10.1103/PhysRevE.104.024109

## Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A.

Universal properties of the Kardar-Parisi-Zhang equation with quenched columnar disorders.

10.1103/PhysRevE.103.052120

## We study a single-channel dynamically disordered totally asymmetric simple exclusion process with bulk particle attachment and detachment.

Particle creation and annihilation in a dynamically disordered totally asymmetric simple exclusion process.

10.1088/1742-5468/abe2ae

## We consider a geometric modification of the asymmetric simple exclusion process model in which each site of a one-dimensional chain is attached to a lateral dead-end site.

Continuous and discontinuous waves in an ASEP with pockets

10.1016/j.physa.2020.125664

## Previously we have proposed a simple cellular automaton model, based on the asymmetric simple exclusion process, that tries to capture the essential traffic properties of such an ant trail.

Flux-density relation for traffic of army ants in a 3-lane bi-directional trail

## Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process.

Integrability of the Multi-Species TASEP with Species-Dependent Rates

10.1016/j.jcta.2021.105519

## In the spin-$\frac12$ specialization, our refined Cauchy identity leads to a summation identity for eigenfunctions of the ASEP (Asymmetric Simple Exclusion Process), a celebrated stochastic interacting particle system in the Kardar-Parisi-Zhang universality class.

Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions

10.1088/1742-5468/ac22f8

## We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms.

Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation

10.1140/epje/s10189-021-00019-8

## In order to estimate the effect of cytoplasmic diffusion on the rate of translation, we consider a totally asymmetric simple exclusion process coupled to a finite diffusive reservoir, which we call the ribosome transport model with diffusion.

Modelling the effect of ribosome mobility on the rate of protein synthesis

## BACKGROUND AND OBJECTIVE  Clipping is still considered the treatment of choice for middle cerebral artery (MCA) aneurysms due to their angioarchitectural characteristics as they are often bifurcation dysplasias, needing a complex reconstruction rather than a simple exclusion.

Surgical Treatment of Middle Cerebral Artery Aneurysms: Hints and Precautions for Young Cerebrovascular Surgeons.

10.1088/1402-4896/ac0c59

## The effect of unequal constrained at branching point on phase diagrams is investigated by a totally asymmetric simple exclusion process (TASEP).

The effect of unequal constrained at branching point on phase diagrams

## We consider the asymmetric simple exclusion process (ASEP) on Z with initial data such that in the large time particle density ρ(·) a discontinuity (shock) at the origin is created.

GUE×GUE limit law at hard shocks in ASEP

10.1007/s00030-021-00716-5

## In a companion article [4] we study the quasi-static limit for the one-dimensional open asymmetric simple exclusion process (ASEP).

Quasi-static limit for a hyperbolic conservation law

10.7546/CRABS.2020.12.05

## The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple Exclusion Process (TASEP) with backward ordered sequential update (dynamics), endowed with two hopping probabilities, p and pm.

gTASEP with Attraction Interaction on Lattices with Open Boundaries

10.1088/1751-8121/ac1ee6

## We consider the asymmetric simple exclusion process (ASEP) with forward hopping rate 1, backward hopping rate q and periodic boundary conditions.

From the Riemann surface of TASEP to ASEP

## The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications.

Random Attraction in the TASEP Model

10.1016/j.bpj.2021.02.004

## The totally asymmetric simple exclusion process (TASEP), which describes the stochastic dynamics of interacting particles on a lattice, has been actively studied over the past several decades and applied to model important biological transport processes.

EGGTART: A computational tool to visualize the dynamics of biophysical transport processes under the inhomogeneous l-TASEP.

10.1103/PhysRevE.103.062144

## We demonstrate our approach on three well-studied lattice models, the Fredrickson-Andersen and East kinetically constrained models, and the symmetric simple exclusion process.

Optimal sampling of dynamical large deviations via matrix product states.

10.1016/J.PHYSA.2021.125779

## Inspired by the recent experimental observations on molecular motors accumulating on microtubule filament, we study an open system of two antiparallel lanes totally asymmetric simple exclusion processes (TASEP) in the presence of dynamic roadblocks.

Bi-directional traffic of molecular motors in two antiparallel lanes with asymmetric lane changing rates

10.1140/epjp/s13360-020-00997-2

## The two-chain totally asymmetric simple exclusion process (TASEP) with transverse and longitudinal binding energy is proposed, where particles transport in parallel.

Phase transitions in two-channel TASEPs based on a new method of cluster mean-field analyses

10.1209/0295-5075/133/60003

## We investigate the stationary state of symmetric and totally asymmetric simple exclusion processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be exact in the thermodynamic limit, and kinetic Monte Carlo simulations.

Simple exclusion processes with local resetting

10.1007/S00440-021-01074-0

## We obtain a new relation between the distributions $$\upmu _t$$ μ t at different times $$t\ge 0$$ t ≥ 0 of the continuous-time totally asymmetric simple exclusion process (TASEP) started from the step initial configuration.

Mapping TASEP back in time

10.3390/ELECTRONICS10070806

## Afterwards, we model YELLOW through the totally asymmetric simple exclusion process (TASEP) and deduce the approximate solution of the existence condition for each stationary phase.

The Yellow Active Queue Management Algorithm in ICN Routers Based on the Monitoring of Bandwidth Competition

10.1111/1755-0998.13389

## Here, we present an efficient solution to that problem by extending simple exclusion approaches to parentage analysis with single nucleotide polymorphic markers (SNPs).

hiphop: Improved paternity assignment among close relatives using a simple exclusion method for biallelic markers

10.1088/1751-8121/ac21e2

## Motivated by the impact of limited resources on the entry and exit of entities on a pathway in many transport systems, we investigate a system comprising of a bidirectional totally asymmetric simple exclusion process coupled to a reservoir featuring crowding effect.

Persistence of spontaneous symmetry breaking in bidirectional transport system with reservoir crowding

10.1016/J.CHAOS.2021.111192

## Among them, totally asymmetric simple exclusion process (TASEP) belonging to asymmetric simple exclusion process (ASEP) stands out as a paradigm nonlinear dynamical model depicting microscopic non-equilibrium dynamics of real active particles.

Physical mechanisms of the dynamical patterns and non-equilibrium processes of self-driven particles in an ASEP network affected by a finite external particle source

## Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its various deformations, with a notable exception of ASEP) remain integrable when we equip each particle $x_i$ with its own jump rate parameter $\nu_i$.

Parameter Permutation Symmetry in Particle Systems and Random Polymers

## The system that is the focus of Chapters 2, 3, and 4 is the (Totally) Asymmetric Simple Exclusion Process, or (T)ASEP.

Nonequilibrium steady states from a random-walk perspective

10.1088/1478-3975/ab57a0

## We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

Power series method for solving TASEP-based models of mRNA translation.

## We consider the PushTASEP (pushing totally asymmetric simple exclusion process, also sometimes called long-range TASEP) with the step initial configuration evolving in an inhomogeneous space.

PushTASEP in inhomogeneous space.

10.1007/s00220-020-03782-5

## We consider the asymmetric simple exclusion process on $\mathbb{Z}$ with a single second class particle initially at the origin.

KPZ statistics of second class particles in ASEP via mixing

10.1088/1751-8121/ab2fb1

## The main difference with the asymmetric simple exclusion process (ASEP), which can be mapped to the ordinary XXZ spin chain, is that multiple particles can occupy one and the same site.

The non-compact XXZ spin chain as stochastic particle process

10.1103/PhysRevLett.123.080601

## The average dynamics reduces to that of the symmetric simple exclusion process.

Open Quantum Symmetric Simple Exclusion Process.

## We consider the nearest-neighbour simple exclusion process on the one-dimensional discrete torus $\mathbb{T}_N=\mathbb{Z}/N\mathbb{Z}$ , with random rates $c_N=\{c_{x,N}\colon x \in \mathbb{T}_N\}$ defined in terms of a homogeneous Poisson process on $\mathbb{R}$ with intensity $\lambda$.

First displacement time of a tagged particle in a stochastic cluster in a simple exclusion process with random slow bonds

10.1103/PhysRevE.100.042109

## The asymmetric simple inclusion process (ASIP)-a lattice-gas model for unidirectional transport with irreversible aggregation-has been proposed as an inclusion counterpart of the asymmetric simple exclusion process and as a batch service counterpart of the tandem Jackson network.

Occupancy correlations in the asymmetric simple inclusion process.

## We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model.

The speed of the tagged particle in the exclusion process on Galton-Watson trees

10.1103/PhysRevE.100.052121

## To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced.

Single-file transport in periodic potentials: The Brownian ASEP

10.1109/CDC40024.2019.9030114

## The models include a soft version of the simple exclusion principle, thus allowing to model and analyze the evolution of "traffic jams" of particles along the chain.

Ribosome flow model with nonhomogeneous site sizes

10.1007/s00440-020-01004-6

## We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point distributions in the space-time plane.

Periodic TASEP with general initial conditions.

10.1016/j.jpba.2019.112946

## Therefore, our current study was proposed aiming to develop simple exclusion criteria for drug candidates that are not suitable for microdialysis system investigation.

Exclusion of unsuitable CNS drug candidates based on their physicochemical properties and unbound fractions in biomatrices for brain microdialysis investigations.

## We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

Power series method for solving TASEP-based models of mRNA translation

10.1007/s00023-019-00856-6

## This relation generalizes another one obtained by Tracy and Widom in the context of the asymmetric simple exclusion process.

Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model

10.1088/2399-6528/ab4ecb

## We find that the DiSSEP (Dissipative Symmetric Simple Exclusion Process), introduced by Crampe this http URL.

Lattice SUSY for the DiSSEP at $\lambda^2=1$ (and $\lambda^2 = -3$)

10.1103/PhysRevE.100.022106

## The totally asymmetric simple exclusion process was originally introduced as a model for the trafficlike collective movement of ribosomes on a messenger RNA (mRNA) that serves as the track for the motorlike forward stepping of individual ribosomes.

Biologically motivated three-species exclusion model: Effects of leaky scanning and overlapping genes on initiation of protein synthesis.

10.1103/PhysRevX.10.021019

## Specifically, we were able to clearly distinguish chaotic from integrable dynamics in boundary-driven dissipative spin-chain Liouvillians and in the classical asymmetric simple exclusion process and to differentiate localized from delocalized phases in a nonhermitian disordered many-body system.

Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos

10.1142/S021798491950012X

## In the area of statistical physics, totally asymmetric simple exclusion process (TASEP) is treated as one of the most important driven-diffusive systems.

Cluster mean-field dynamics in one-dimensional TASEP with inner interactions and Langmuir dynamics

10.1088/1751-8121/aafb8a

## We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites.

Totally asymmetric exclusion process with site-wise dynamic disorder

10.1142/S0217979219501273

## In this paper, the effect of different hopping rates coupled with on-ramp on the phase diagrams has been investigated by totally asymmetric simple exclusion process (TASEP).

Effect of hopping rates coupled with on-ramp on the phase diagrams of totally asymmetric simple exclusion process

10.1088/1742-5468/AB310D

## Stimulated by these observations, we developed a theoretical framework to investigate network junction models of totally asymmetric simple exclusion processes with interacting particles.

Theoretical study of network junction models for totally asymmetric exclusion processes with interacting particles

10.1007/s10955-019-02380-7

## Using the totally simple exclusion process (TASEP) on a road segment with ramps, we show that measuring the flow directly at the road junctions may be a useful setup.

Interpreting Traffic on a Highway with On/Off Ramps in the Light of TASEP

## Recently James Martin introduced multiline queues, and used them to give a combinatorial formula for the stationary distribution of the multispecies asymmetric simple exclusion exclusion process (ASEP) on a circle.

From multiline queues to Macdonald polynomials via the exclusion process

10.1088/1751-8121/ab2e96

## We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, $\{1,0,\bar{1},*\}$, in contact with reservoirs.

The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps

10.1016/J.PHYSA.2018.09.167

## This paper studies a two-lane totally asymmetric simple exclusion processes with parallel update rule.

Mean-field analysis for Asymmetric Exclusion Processes on two parallel lattices with fully parallel dynamics

10.1007/s10955-019-02447-5

## In this paper we consider the totally asymmetric simple exclusion process, with non-random initial condition having three regions of constant densities of particles.

Statistics of TASEP with three merging characteristics

10.1080/09589236.2019.1580024

## The authors argue that the construct of military masculinity is more complex than a simple exclusion of the ‘feminine’ and the ‘emotional’ and explore how the masculine notions of military solidarity and ‘brotherhood’ create a ‘safe’ masculine space within which men could share their emotional experiences while recognising its constraints.

10.1088/1742-5468/ab3429

## Asymptotic Kardar-Parisi-Zhang (KPZ) properties are investigated in the totally asymmetric simple exclusion process (TASEP) with a localized geometric defect.

Passive Tracer Dynamics in Slow-Bond Problem

## Our model and analysis are based on the well-studied "totally asymmetric simple exclusion process" in statistical mechanics.

Fast Uniform Dispersion of a Crash-prone Swarm

10.1007/s10955-019-02254-y

## In this paper we consider a symmetric simple exclusion process on the d-dimensional discrete torus $${\mathbb {T}}^d_N$$TNd with a spatial non-homogeneity given by a slow membrane.

Hydrodynamic Limit for the SSEP with a Slow Membrane

10.1209/0295-5075/126/40007

## We demonstrate the results for selected single-particle models as well as a variant of the asymmetric simple exclusion process with collective tumbles.

Thermodynamic uncertainty for run-and-tumble type processes

10.1177/0361198119855981

## The effects of this new type of control on user benefit and queueing delay were assessed using the asymmetric simple exclusion process.

Bid-Based Priority Signal Control in a Connected Environment: Concept

10.1103/PhysRevE.100.042106

## In the present study, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multispecies of particles and takes into account the sequence in which the particles enter a lattice.

Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice.

10.1088/1742-5468/aaeb4a

## We study the integrable two-species asymmetric simple exclusion process (ASEP) for two inequivalent types of open, non particle conserving boundary conditions.

$T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries

10.1103/PhysRevE.100.052111

## Only the special case v_{max}=1, where the model corresponds to the totally asymmetric simple exclusion process, is known to belong to the superdiffusive Kardar-Parisi-Zhang (KPZ) class with z=3/2.

Kardar-Parisi-Zhang universality of the Nagel-Schreckenberg model.

## In particular, we aim to extract the characteristic properties of the KPZ universality class by understanding the KPZ stochastic partial differential equation by a special discrete approximation given by the asymmetric simple exclusion process (ASEP).

The KPZ Universality Class and Related Topics

10.1103/PhysRevE.100.012141

## We present a numerical study of a two-lane version of the stochastic nonequilibrium model known as the totally asymmetric simple exclusion process.

Dynamical aspects of spontaneous symmetry breaking in driven flow with exclusion.

10.1103/PhysRevE.100.022101

## The open asymmetric simple exclusion process (ASEP) has emerged as a paradigmatic model of nonequilibrium behavior, in part due to its complex dynamical behavior and wide physical applicability as a model of driven diffusion.

Dynamical phase behavior of the single- and multi-lane asymmetric simple exclusion process via matrix product states.

10.1088/1742-5468/ab7752

## This kind of transport can be described by the asymmetric simple exclusion process (ASEP) with two species of particles.

Bidirectional Non-Markovian Exclusion Processes

10.1038/s41598-019-42011-5

## The totally asymmetric simple exclusion process along with particle adsorption and evaporation kinetics is a model of boundary-induced nonequilibrium phase transition.

Global Density Profile For Particle Non-Conserving One Dimensional Transport From Renormalization Group Flows

10.1088/1751-8121/AB35BB

## In our theoretical approach, we model the dynamics of molecular motors as onedimensional totally asymmetric simple exclusion processes for interacting particles.

The effect of local dissociation on dynamics of interacting molecular motors

10.1142/S0217979219502291

## Totally asymmetric simple exclusion process (TASEP) is an important stochastic dynamic process in the area of statistical physics, which can be used to model microscopic transport in nonequilibrium.

Stochastic dynamics in nonequilibrium phase transitions of multiple totally asymmetric simple exclusion processes coupled with strong and weak interacting effects

## We introduce a two-dimensional, distribution-valued field, which we call the quadratic field, associated with the one-dimensional Ornstein-Uhlenbeck process and we prove that the stationary quadratic fluctuations of the simple exclusion process, in the diffusive scaling, converge to this quadratic field.

Quadratic fluctuations of the symmetric simple exclusion

10.1109/WACV.2019.00067

## If DA methods are applied directly to DG by a simple exclusion of the target data from training, poor performance will result for a given task.

Multi-Component Image Translation for Deep Domain Generalization

10.1142/S0217979219502175

## Among fruitful exclusion processes, totally asymmetric simple exclusion process (namely, TASEP) at.

Physical mechanisms in impacts of interaction factors on totally asymmetric simple exclusion processes

10.1007/s10955-019-02367-4

## We study a substitute for the matrix product ansatz for asymmetric simple exclusion process with open boundary in the “singular case” $$\alpha \beta =q^N\gamma \delta ,$$ when the standard form of the matrix product ansatz of Derrida et al.

On Matrix Product Ansatz for Asymmetric Simple Exclusion Process with Open Boundary in the Singular Case

## Dynamical transitions, already found in the high- and low-density phases of the Totally Asymmetric Simple Exclusion Process and a couple of its generalizations, are singularities in the rate of relaxation towards the Non-Equilibrium Stationary State (NESS), which do not correspond to any transition in the NESS itself.

Dynamical Transitions in a One-Dimensional Katz–Lebowitz–Spohn Model

10.1007/s00220-020-03905-y

## We study a stochastic PDE limit of the height function of the dynamic asymmetric simple exclusion process (dynamic ASEP).

Stochastic PDE limit of the dynamic ASEP

10.1103/PhysRevE.100.022145

## We study here one-dimensional model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time kinetics of the generalized totally asymmetric simple exclusion process (gTASEP) on open chains.

One-dimensional discrete aggregation-fragmentation model.

10.1007/s00023-019-00761-y

## 01612v5) and ASEP (Tracy and Widom in Integral formulas for the asymmetric simple exclusion process, 2007.

Probability Distributions of Multi-species q-TAZRP and ASEP as Double Cosets of Parabolic Subgroups

10.1007/s10955-019-02363-8

## For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process) or independent particles coupled with reservoirs at the boundaries, we analyze the density fluctuations conditioned on current integrated over a large time.

Large deviations conditioned on large deviations II: Fluctuating hydrodynamics

10.1088/1742-5468/ab4587

## The so-called kinetic exclusion process has as limiting cases two of the most paradigmatic models of nonequilibrium physics, namely the symmetric simple exclusion process of particle diffusion and the Kipnis-Marchioro-Presutti model of heat flow, making it the ideal testbed where to further develop modern theories of nonequilibrium behavior.

The kinetic exclusion process: a tale of two fields

10.1145/3306309.3306312

## Another well-known tandem stochastic system is the Asymmetric Simple Exclusion Process (ASEP) [1], where each site can hold at most a single particle, a constraint that causes blockings on particles' forward movements.

Tandem stochastic systems: Jackson networks, asymmetric exclusion processes, asymmetric inclusion processes and Catalan numbers

10.1103/physreve.100.052121

## To explore and understand generic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced.

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process.

10.1007/s00220-020-03837-7

## In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the $q$-deformed Totally Asymmetric Zero Range Process ($q$-TAZRP) on the ring by applying the coordinate Bethe ansatz.

Integral formulas of ASEP and $q$-TAZRP on a ring

10.1088/1742-5468/ab7af3

## The boundary driven Symmetric Simple Exclusion Process (open SSEP) belongs to the latter.

Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP.