## What is/are Isotropic Energy?

Isotropic Energy - , the end time of the plateau phase in the GRB rest frame ($T_{a}$), the corresponding X-ray luminosity at the end time ($L_{X}$) and the isotropic energy of the prompt GRB ($E_{\gamma,\rm{iso}}$).^{[1]}The accretion explains the prompt emission of isotropic energy $\simeq 3 \times 10^{51}$ erg, lasting $\sim 10$ s, and the accompanying observed blackbody emission from a thermal convective instability bubble.

^{[2]}To aid the interpretation of such experiments, nonequilibrium molecular dynamics simulations of the anisotropic energy flow in proteins TrpZip2 and PDZ3 domain are presented.

^{[3]}The sources are constrained to emit a MeV-fluence in the millisecond range below $F'_{MeV} = 10^{-8} \, \rm erg \, cm^{-2}$ corresponding to an isotropic energy near $E_{MeV,UL} \simeq 2 \times 10^{46}\,$erg for a distance of 150 Mpc (applicable to Source 1).

^{[4]}The calculated magnetic anisotropic energy shows that the direction [110] is the easy axis of magnetization for x = 1 composition.

^{[5]}We first consider a simplified model of a power-law volumetric rate per unit isotropic energy dN/dE ~ E^{-gamma} with a maximum energy E_max in a uniform Euclidean Universe.

^{[6]}The presented results indicate that only the model that considers anisotropic energy is valid for a wide set of modern magnetic materials.

^{[7]}Moreover, the magnetic moment inversion of the Fe atom bonded with a C atom appears in the particular models, and the magnetic anisotropic energy (MAE) of the corresponding Fe atom is inverted from the out-of-plane to the in-plane, which is ascribed to a strong p–d hybridization between C and Fe atoms.

^{[8]}For the development of high-performance spintronic nanodevices, one of the most urgent and challenging tasks is the preparation of two-dimensional materials with room-temperature ferromagnetism and a large magnetic anisotropic energy (MAE).

^{[9]}The magnetic order is robust against thermal excitations at finite temperatures because of magnetic anisotropic energy.

^{[10]}The study of coercivity and blocking temperature with M–H and M–T curves showed that incorporation of Ni decreases the anisotropic energy and coercivity values.

^{[11]}It is shown that taking relativistic effects into account, the Navier–Stokes equation can have a physically meaningful, classical, globally smooth solution of Hubble type, which modifies the isotropic energy-dominance condition, eliminates the cosmological singularity, and accords with the observational data indicating that the Hubble parameter increases with time.

^{[12]}We provide closed-form expressions for the eigensystems for all these invariants, and use them to systematically derive the eigensystems of any isotropic energy.

^{[13]}With FWHM gained from RSM and Williamson–Hall (W–H) method based on universal elastic coefficients of the material, particle size D (nm), uniform stress σ (GPa), strain ε and anisotropic energy density u (kJ m−3) parameters for the samples are calculated.

^{[14]}A recent study revealed multiple underlying Fermi surfaces and an isotropic energy gap in Ca2CuO2Cl2 [7].

^{[15]}The polarized $\sigma(\omega)$ spectra revealed not only the anisotropic energy gap formation but also the anisotropic gap-opening temperature, i.

^{[16]}We also find that - for a given redshift - isotropic energy is positively correlated with intrinsic prompt duration.

^{[17]}Temperature and concentration dependences of magnetic characteristics of iron-gallium borates, namely, the Neel temperature, the Dzyaloshinskii–Moriya field, and the isotropic energy gap, have been determined by means of AFMR.

^{[18]}Usually multichannel reverberation algorithms output a series of decorrelated signals yielding an isotropic energy decay.

^{[19]}To corroborate the results, a core-shell anisotropic energy model was used to determine the coherent rotation of magnetization and exchange coupling constant, giving direct access to the anisotropic interfacial properties of the core-shell nanoscale system without spatially resolved magnetic measurement.

^{[20]}Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.

^{[21]}We find that the distributions of the duration, peak energy, isotropic energy and luminosity in the different frames are basically lognormal, and their distributions in the comoving frame are narrow, clustering around $T'_{\rm 90}\sim 4000$ s, $E'_{\rm p,c}\sim 0.

^{[22]}However, the rather low Curie temperature and small magnetic anisotropic energy (MAE) greatly limit their application scope.

^{[23]}We also found that the ferromagnetic properties (magnetic anisotropic energy and Curie temperature) of pristine CrI$_{3}$ can be further improved due to the presence of heavy atomic layers, and the spin orientation can be utilized as a useful knob to tune the band structure and Fermi level of CrI$_{3}$/Bi system.

^{[24]}An analysis of energies showed that the demagnetization energy was dominantly influenced by the diameter and thickness in comparison to the anisotropic energy.

^{[25]}The influence on the thermal anisotropic energy barrier, which relates to the strength of the magnetic anisotropy, depends on the type of lanthanide used.

^{[26]}Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.

^{[27]}However, the state-of-the-art methods ignore the anisotropic energy receiving property of rechargeable sensors, resulting in energy wastage.

^{[28]}The low-temperature specific heat data, $C_{el}$(T), indicate a weakly-coupled fully gapped BCS superconductivity with an isotropic energy gap 2$\Delta(0)/k_{B}T_{c}$ = 3.

^{[29]}We find that for both states, concurrence is maximum in the absence of an anisotropic energy gap between exciton states and remains unchanged in the presence of exciton–phonon coupling.

^{[30]}It could be used to study the evolution of the comoving curvature perturbations for systems with an anisotropic energy-momentum tensor, such as in the presence of vector fields, or in the presence of entropy, such as in a multi-field system.

^{[31]}We have performed a combined experimental and theoretical study of the optical properties of copper sulfide colloidal nanocrystals and show that bulk CuS resembles a heavily doped p-type semiconductor with a very anisotropic energy band structure.

^{[32]}The 2D BaSn monolayer exhibits a large magnetocrystalline anisotropic energy of 12.

^{[33]}These two modes can be interpreted by the anisotropic energy dispersion of the electronic states around the Fermi level of CWO.

^{[34]}Our theoretical model shows the anomalous photothermoelectric effect arises from an anisotropic energy dispersion and micrometer-scale hot carrier diffusion length of WTe2.

^{[35]}Strong variation in coercivity due to decrease in anisotropic energy is useful in high-density storage devices.

^{[36]}Here, using the dynamics of the core of baryons described within the Scale-Symmetric Theory (SST), we explain the origin of the rest frame peak energy versus isotropic energy for Gamma-Ray Bursts (GRBs).

^{[37]}

## Nearly Isotropic Energy

Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.^{[1]}Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.

^{[2]}

## isotropic energy gap

A recent study revealed multiple underlying Fermi surfaces and an isotropic energy gap in Ca2CuO2Cl2 [7].^{[1]}The polarized $\sigma(\omega)$ spectra revealed not only the anisotropic energy gap formation but also the anisotropic gap-opening temperature, i.

^{[2]}Temperature and concentration dependences of magnetic characteristics of iron-gallium borates, namely, the Neel temperature, the Dzyaloshinskii–Moriya field, and the isotropic energy gap, have been determined by means of AFMR.

^{[3]}Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.

^{[4]}Simulation and the measurement of the photoresponse of an unpatterned Nb film show less than 8% anisotropy, as expected for a superconductor with a nearly isotropic energy gap along with expected systematic uncertainty.

^{[5]}The low-temperature specific heat data, $C_{el}$(T), indicate a weakly-coupled fully gapped BCS superconductivity with an isotropic energy gap 2$\Delta(0)/k_{B}T_{c}$ = 3.

^{[6]}We find that for both states, concurrence is maximum in the absence of an anisotropic energy gap between exciton states and remains unchanged in the presence of exciton–phonon coupling.

^{[7]}

## isotropic energy dispersion

These two modes can be interpreted by the anisotropic energy dispersion of the electronic states around the Fermi level of CWO.^{[1]}Our theoretical model shows the anomalous photothermoelectric effect arises from an anisotropic energy dispersion and micrometer-scale hot carrier diffusion length of WTe2.

^{[2]}