## What is/are Crossover Temperature?

Crossover Temperature - We present the continuum extrapolation of the crossover temperature based on different observables at several lattice spacings.^{[1]}We also suggest a simple theoretical model to describe the tunneling effects in the vicinity of the crossover temperature (the temperature where tunneling becomes the dominating mechanism).

^{[2]}Based on the results, the combustion mode changes, which implies a transition from the surface to the submerged combustion mode of the PMB, and were directly compared with the crossover temperature.

^{[3]}The evidence provided here for the onset of cooperativity, marked by a crossover temperature, TA (which is usually above the liquidus temperature), is accompanied by the onset of development of more spatially extended structural order in the liquids.

^{[4]}Different from the commonly used maximum change in chiral condensate, we propose defining the crossover temperature using the Mott transition of pseudo-Goldstone bosons, which, by definition, guarantees Goldstone's theorem.

^{[5]}In a supercooled liquid, the crossover temperature T_{c} separates a high-temperature region of diffusive dynamics from a low-temperature region of activated dynamics.

^{[6]}The series spans a broad range of spin-crossover temperatures (T1/2) for the LS ⇌ HS equilibrium in solution, with the exception of compound 6 which remains high-spin (S = 2) down to 210 K.

^{[7]}The crossover temperature between the intervals is in the range 20–30 K.

^{[8]}Hence, present investigation was targeted to evaluate the changes taking place in heat stability, ζ-potential, particle size, apparent viscosity, pH, turbidity and crossover temperature of storage (G′) and loss (G″) modulus of high-protein BSM based UF retentates as a function of homogenization and sodium hydrogen phosphate (SHP) addition.

^{[9]}For finite-size systems, it is found that a crossover temperature can be used to characterize the transition to a single-domain-type magnet.

^{[10]}We also discuss that one has to be careful in analyzing the crossover temperature from the positive to negative magnetoresistance.

^{[11]}Mimicking experimental conditions, our enhanced-sampling atomistic simulations of CI2 surrounded by lysozyme and bovine serum albumin reproduce this destabilization but also provide evidence of a crossover temperature above which lysozyme is found to become stabilizing, as previously predicted by analysis of thermodynamic data.

^{[12]}As temperature emerges, the TLL phase is crossover into QC regimes with a crossover temperature connecting to a universal linear line T*∼|θ-θc1,2| that ends at θc1,2 upon cooling down to 0K, providing a new clue to capture QCP.

^{[13]}Our principal focus is on changes of topology of the phase diagram of confined water and establishing trends of behavior of the crossover temperature between condensation and evaporation on the strength of water-graphite interaction potential.

^{[14]}Different from Cu75Ag25 and Cu25Ag75 melts of which the crossover temperature T c is below the liquidus temperature, the T c of Cu54.

^{[15]}These binder rheological indices included the Superpave intermediate-temperature PG (PGI), the Glover-Rowe (G-R) parameter, the crossover temperature (Tδ = 45°), the rheological index (R-value), and ΔTc.

^{[16]}We also show how the parameter ψ(T) that measures the role of fluctuations embedded in the system on size of the cooperatively reorganizing cluster (CRC) and the crossover temperature T_{a} depend on the intermolecular interactions.

^{[17]}These two ordering processes show a collapsed time evolution at the crossover temperature consistent with the onset of the theoretical deviation.

^{[18]}Results show that increasing methanol in a blend promotes reactivity at high temperatures and inhibits it at low temperatures, with the crossover temperature occurring at approximately 970–980 K with it being almost independent of pressure.

^{[19]}A transition from the 2D to the 3D region was observed in different fields at a crossover temperature as the temperature increased.

^{[20]}The performance improvement was reflected in BMS having lower viscosities, stiffnesses, shear susceptibilities, crossover temperatures, while having higher m-values and failure strains compared to RAS asphalt.

^{[21]}A remarkably strong variation in the crossover temperature and the lifetime of the skyrmion is found as a function of the values of parameters in the extended Heisenberg Hamiltonian, i.

^{[22]}Crossover temperature from 2D to 3D (TLD) decreased in the mean-field region as a resultant dominance of 3D region by increasing of Ag in YBCO matrix.

^{[23]}We find that a relatively strong increase of diffusion coefficient from crossover temperature $T_c$ toward high temperature is preferred by data.

^{[24]}As a result, a predicted dynamic change at a specific temperature (crossover temperature) is evidenced by a derivative-based representation of the relaxation time data.

^{[25]}Moreover, two parameters, crossover temperature, Tδ=45°, and the difference in critical temperature, ΔTc, were used to evaluate the aging properties of the materials.

^{[26]}We also elucidate that the as-synthesized sample with Co enrichment at the Td site shows the better OER activity, and the optimum annealing temperature for more OER active Ca2FeCoO5 should be higher than the crossover temperature.

^{[27]}The crossover temperature scales as $q_0^3$, where $q_0$ is the minimal wavevector for umklapp scattering.

^{[28]}Our results revealed an increase of the crossover temperature from circa 35 °C at pH 3.

^{[29]}3Tg, which may correspond to the crossover temperature (TB) related to the variation in molecular dynamics, a maximum in.

^{[30]}We have discovered a reentrance effect of the Hall-driven sliding above a crossover temperature at which the Hall constant has been known to change signs.

^{[31]}We also report evidence from electron and x-ray diffraction which suggests a tendency toward short-range ordering along both wavevectors which persists even well above the crossover temperature.

^{[32]}In the vicinity of the crossover temperature at zero chemical potential, the radius of convergence turns out to be at $\mu_B/T \approx 2$ and roughly temperature independent.

^{[33]}The crossover temperature increases with NPs size, suggesting a size-dependent blocking magnetic regime.

^{[34]}For all microgel sample variants, a crossover temperature, where the elastic contribution to osmotic pressure changes sign, is found to approximate the final temperature after microgel synthesis and also to the free polymer θ temperature.

^{[35]}In ${\mathrm{RbFe}}_{2}{\mathrm{As}}_{2}$ around 35 K, far below that crossover temperature, we observe a peak in the NQR $1/{T}_{1}$ which is possibly associated with the critical slowing down of electronic nematic fluctuations on approaching the transition to the nematic long-range order.

^{[36]}At vanishing chemical potential, we report a crossover temperature $T_c(0) = (156.

^{[37]}As with liquid water, we have shown that the alkanols also have a crossover temperature, Tc, at which a discontinuity occurs in the value of some properties in their liquid phase.

^{[38]}Far below the crossover temperature, the elastic self-amplification occurs above a threshold photo-excitation.

^{[39]}There is a crossover of μap and μop, and the crossover temperature Tc shifts to a higher value with increasing ne.

^{[40]}In the topological setup the crossover temperature to non-Fermi liquid behavior is relatively high as it is proportional to level broadening and the transport results are not sensitive to channel coupling anisotropy, moving away from the charge degeneracy point or including a small Majorana hybridization, which makes our proposal experimentally feasible.

^{[41]}In addition, our data imply that the crossover temperature is related with the onset of structural rearrangements (increase in configurational entropy) of the macromolecules.

^{[42]}This comes about because around the crossover temperature to the quark-gluon plasma localized states start to appear at the low end of the spectrum and as the system is further heated, states higher up in the spectrum also get localized.

^{[43]}The crossover temperature increases with increasing pressure.

^{[44]}Although tunneling is fairly well accounted for by RPMD even below the crossover temperature, the effect of resonances, a long-time effect, is not included in the methodology.

^{[45]}Tunneling is included by assuming incoherent quantum hopping at temperatures which are above the crossover temperature between deep tunneling and thermal activation.

^{[46]}The spin-lattice relaxation rate shows a peak around the crossover temperature 40 K and follows power-law behavior below this temperature.

^{[47]}Similar behavior is obtained for crossover temperatures To.

^{[48]}The new model also reduced or eliminated the crossover temperatures predicted by PC-SAFT when a reservoir fluid, prone to precipitate asphaltenes, was enriched with CO2.

^{[49]}It is found that the crossover temperature that appears in the cutoff factor is smaller under fuel-rich conditions.

^{[50]}

## coherence length along

Using the crossover temperature T0, the coherence length along the c axis, ξc(0), was determined.^{[1]}The crossover temperature T0 determines the coherence length along the c axis is ξc(0) = 0.

^{[2]}The microscopic parameters such as dimensional crossover temperature (Tcr), interlayer coupling strength (J), and zero temperature coherence length along c axis (ξ0) are estimated.

^{[3]}

## macroscopic quantum tunneling

Inhibition of thermal activation was observed, leaving the macroscopic quantum tunneling as the dominant effect well beyond the crossover temperature.^{[1]}Below TB in FC mode, the magnetization decreases with temperature until 36 K; this temperature is the crossover temperature TCr related to the anisotropy of the barriers, indicative of macroscopic quantum tunneling.

^{[2]}

## Dynamic Crossover Temperature

Such a result questions the commonly applied ‘Stickel operator’ routine as the reliable tool for determining the dynamic crossover temperature.^{[1]}This result questions the commonly applied ‘Stickel operator’ routine as the most reliable tool for determining the dynamic crossover temperature.

^{[2]}For the new ILs, the dynamic crossover temperature is estimated by the parameters of the fluidity equation for the first time.

^{[3]}The novel relation can obey even above the dynamic crossover temperature, with the power exponent Ω ranging between ~17 (liquid crystals) to ~57 (glycerol), what may indicate the impact of symmetry on the previtreous effect.

^{[4]}

## Variou Crossover Temperature

In absence of magnetic field, the addition of Ag in YBCO shift various crossover temperatures of paracoherent state and 3D fluctuations dominate the mean-field region.^{[1]}Investigations of dynamic relaxation are significant for understanding the nature of glasses, liquids, and the critical issues of glass formation and transition, dynamic and structural heterogeneities, flow behaviour and flow units, various crossover temperatures, deformations, aging and rejuvenation, stability, crystallization, and the mechanical and physical properties of glasses.

^{[2]}Excess conductivity analysis was performed to investigate the thermal fluctuations near the critical temperature and various crossover temperatures were obtained using the Aslamazov–Larkin model.

^{[3]}

## Spin Crossover Temperature

Forward and inverse spin crossover temperatures are determined.^{[1]}All tris(pyrazolyl)borate complexes retain the spin crossover properties of their parent compound, with spin crossover temperatures ranging from 350 to 430 K.

^{[2]}All tris(pyrazolyl)borate complexes retain the spin crossover properties of their parent compound, with spin crossover temperatures ranging from 350 to 430 K.

^{[3]}

## Dependent Crossover Temperature

A size-dependent crossover temperature is found, above which the hydration of the alkanes is favored in the aqueous urea solution.^{[1]}The term pseudogap denotes a suppression of the density of states between a doping-dependent crossover temperature, T * ( p ) , and the (lower) SC transition temperature, T c ( p ).

^{[2]}

## Dynamical Crossover Temperature

Finally, we provide an estimate of ξ as a function of T^{*}, finding a mild power law divergence, ξ∼(T^{*}-T_{d})^{-α/3}, with T_{d} the dynamical crossover temperature and α falling in the range α∈[0.^{[1]}Here we report a saturation of the electrical resistivity in Zr_{64}Ni_{36} and Cu_{50}Zr_{50} liquids above a dynamical crossover temperature for the viscosity (T_{A}).

^{[2]}

## Chiral Crossover Temperature

The thermal widths grow rapidly above the chiral crossover temperature Tcp, indicating the dissociation of mesons at high temperatures.^{[1]}Properties of QCD matter change significantly around the chiral crossover temperature, and the effects on $U(1)_A$ and topological susceptibilities, as well as the meson spectrum have been studied with much care.

^{[2]}

## crossover temperature t

Different from Cu75Ag25 and Cu25Ag75 melts of which the crossover temperature T c is below the liquidus temperature, the T c of Cu54.^{[1]}At vanishing chemical potential, we report a crossover temperature T c ( 0 ) = ( 156.

^{[2]}We find that the temperature dependence of critical size of the crystalline nuclei contains two distinguishable regimes with the crossover temperature T / T g ≈ 1.

^{[3]}

## crossover temperature scale

We find that the abrupt deviation from the Fermi liquid behavior in the electron self-energy results in the kink feature at low energy scale and that the kink is directly related to the coherence-incoherence crossover temperature scale.^{[1]}The crossover temperature scales as $q_0^3$, where $q_0$ is the minimal wavevector for umklapp scattering.

^{[2]}

## crossover temperature increase

The crossover temperature increases with NPs size, suggesting a size-dependent blocking magnetic regime.^{[1]}The crossover temperature increases with increasing pressure.

^{[2]}

## crossover temperature t0

Using the crossover temperature T0, the coherence length along the c axis, ξc(0), was determined.^{[1]}The crossover temperature T0 determines the coherence length along the c axis is ξc(0) = 0.

^{[2]}

## crossover temperature t_

In a supercooled liquid, the crossover temperature T_{c} separates a high-temperature region of diffusive dynamics from a low-temperature region of activated dynamics.^{[1]}We also show how the parameter ψ(T) that measures the role of fluctuations embedded in the system on size of the cooperatively reorganizing cluster (CRC) and the crossover temperature T_{a} depend on the intermolecular interactions.

^{[2]}