Nonequilibrium thermodynamics with binary quantum correlations

Morawetz, Klaus

doi:10.1103/physreve.96.032106

Cited by 15 publications

(17 citation statements)

References 84 publications

(137 reference statements)

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“…The energy and momentum conservation is ensured due to an internal transfer of energy and momentum analogously to a latent heat. Only for the entropy an explicit gain remains which can be proved to be positive 44 ensuring Boltzmann's H-theorem. The singleparticle entropy can decrease on cost of the correlated part of entropy describing the two-particles in a molecular state.…”

Section: Discussionmentioning

confidence: 99%

“…while the momentum gain and energy gain are transferring kinetic into correlation parts and do not appear explicitly. In 44 it is proved that this entropy gain is always positive establishing the H-theorem including single particle and two-particle quantum correlations. In other words, the additional gain on the right side of the balance equations ( 6) might be due to an energy or force feed from the outside or the entropy production by collisions.…”

Section: Balance Equationsmentioning

confidence: 95%

“…It results in the equation of continuity, the Navier-Stokes equation, the energy balance and the evolution of the entropy, respectively. All these conservation laws or balance equations for the mean thermodynamic observables have the form 44,45…”

Section: Balance Equationsmentioning

confidence: 99%

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Correlational latent heat by nonlocal quantum kinetic theory

Morawetz

2018

Phys. Rev. B

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The kinetic equation of nonlocal and non-instantaneous character unifies the achievements of the transport in dense quantum gases with the Landau theory of quasiclassical transport in Fermi systems. Large cancellations in the off-shell motion appear which are hidden usually in non-Markovian behaviors. The remaining corrections are expressed in terms of shifts in space and time that characterize the non-locality of the scattering process. In this way quantum transport is possible to recast into a quasi-classical picture. The balance equations for the density, momentum, energy and entropy include besides quasiparticle also the correlated two-particle contributions beyond the Landau theory. The medium effects on binary collisions are shown to mediate the latent heat, i.e., an energy conversion between correlation and thermal energy. For Maxwellian particles with time-dependent s-wave scattering, the correlated parts of the observables are calculated and a sign change of the latent heat is reported at a universal ratio of scattering length to the thermal De Broglie wavelength. This is interpreted as a change from correlational heating to cooling.

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Section: Discussionmentioning

confidence: 99%

Section: Balance Equationsmentioning

confidence: 95%

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Correlational latent heat by nonlocal quantum kinetic theory

Morawetz

2018

Phys. Rev. B

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“…In Refs. [78,79], the stochasticity is induced from non-local collision effects in a quantum kinetic theory. This scenario supports the derivation of viscous hydrodynamics in the stochastic variation.…”

Section: Derivation Of Compressible Nsf Equation In Svmmentioning

confidence: 99%

Uncertainty Relations in Hydrodynamics

Matos

Kodama

Koide

2020

Water

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The qualitative behaviors of uncertainty relations in hydrodynamics are numerically studied for fluids with low Reynolds numbers in 1+1 dimensional system. We first give a review for the formulation of the generalized uncertainty relations in the stochastic variational method (SVM), following the work by two of the present authors [Phys. Lett. A 382, 1472 (2018)]. In this approach, the origin of the finite minimum value of uncertainty is attributed to the non-differentiable (virtual) trajectory of a quantum particle and then both of the Kennard and Robertson-Schrödinger inequalities in quantum mechanics are reproduced. The same non-differentiable trajectory is applied to the motion of fluid elements in the Navier-Stokes-Fourier equation or the Navier-Stokes-Korteweg equation. By introducing the standard deviations of position and momentum for fluid elements, the uncertainty relations in hydrodynamics are derived. These are applicable even to the Gross-Pitaevskii equation and then the field-theoretical uncertainty relation is reproduced. We further investigate numerically the derived relations and find that the behaviors of the uncertainty relations for liquid and gas are qualitatively different. This suggests that the uncertainty relations in hydrodynamics are used as a criterion to classify liquid and gas in fluid.

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“…Remark: one of the anonymous referees pointed out that the scope of our investigation can be substantially extended, because: “most quantum transport effects could be recast into a classical simulation picture of nonlocal collisions” , cf. [ 34 , 35 ].…”

Section: Introductionmentioning

confidence: 99%

Dissipation Function: Nonequilibrium Physics and Dynamical Systems

Caruso

Giberti

Rondoni

2020

Entropy

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An exact response theory has recently been developed within the field of Nonequilibrium Molecular Dynamics. Its main ingredient is known as the Dissipation Function, Ω. This quantity determines nonequilbrium properties like thermodynamic potentials do with equilibrium states. In particular, Ω can be used to determine the exact response of particle systems obeying classical mechanical laws, subjected to perturbations of arbitrary size. Under certain conditions, it can also be used to express the response of a single system, in contrast to the standard response theory, which concerns ensembles of identical systems. The dimensions of Ω are those of a rate, hence Ω can be associated with the entropy production rate, provided local thermodynamic equilibrium holds. When this is not the case for a particle system, or generic dynamical systems are considered, Ω can equally be defined, and it yields formal, thermodynamic-like, relations. While such relations may have no physical content, they may still constitute interesting characterizations of the relevant dynamics. Moreover, such a formal approach turns physically relevant, because it allows a deeper analysis of Ω and of response theory than possible in case of fully fledged physical models. Here, we investigate the relation between linear and exact response, pointing out conditions for the validity of the response theory, as well as difficulties and opportunities for the physical interpretation of certain formal results.

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Nonequilibrium thermodynamics with binary quantum correlations

Cited by 15 publications

References 84 publications

Correlational latent heat by nonlocal quantum kinetic theory

Correlational latent heat by nonlocal quantum kinetic theory

Uncertainty Relations in Hydrodynamics

Dissipation Function: Nonequilibrium Physics and Dynamical Systems

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