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We study non-equilibrium quantum dynamics of the single-component scalar field theory in 1+1 space-time dimensions on the basis of the Kadanoff-Baym equation including the next-to-leading-order (NLO) skeleton diagrams. As an extension of…

核理论 · 物理学 2010-01-15 Akihiro Nishiyama

We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

动力系统 · 数学 2011-04-14 Eugen Mihailescu

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main…

混沌动力学 · 物理学 2009-10-31 T. Gilbert , J. R. Dorfman , P. Gaspard

The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

量子物理 · 物理学 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

We derive an expression of the kinetic entropy current in the nonequilibrium $O(N)$ scalar theory from the Schwinger-Dyson (Kadanoff-Baym) equation with the 1st order gradient expansion. We show that our kinetic entropy satisfies the…

核理论 · 物理学 2011-09-16 A. Nishiyama , A. Ohnishi

Allen-Cahn (Ginzburg-Landau) dynamics for scalar fields with heat conduction is treated in rigid bodies using a non-equilibrium thermodynamic framework with weakly nonlocal internal variables. The entropy production and entropy flux is…

统计力学 · 物理学 2022-04-26 P. Ván

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature and velocity), in…

统计力学 · 物理学 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

介观与纳米尺度物理 · 物理学 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

统计力学 · 物理学 2020-08-28 Philipp Strasberg

Entanglement entropy has proven to be an extremely useful concept in quantum field theory. Gauge theories are of particular interest, but for these systems the entanglement entropy is not clearly defined because the physical Hilbert space…

高能物理 - 理论 · 物理学 2016-11-29 William Donnelly

This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production…

统计力学 · 物理学 2015-06-02 Christian Maes

Adiabaticity is a cornerstone of many promising approaches to quantum control, computing, and simulation. In practice, however, there is always a trade-off. Although the deleterious effects of noise can be diminished by running a control…

量子物理 · 物理学 2025-06-23 Pavel Zhelnin , Lucas Johns , Carlos A. Argüelles

Entropy production for a system not in the thermodynamic limit is formulated using Hill's nanothermodynamics, in which a macroscopic ensemble of such systems is considered. External influence of the environment on the average nanosystem is…

统计力学 · 物理学 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

For a system moving away from equilibrium, we express the entropy production via a two-point correlation function for any time and any distance from equilibrium. The long-time limit gives the sum of the Lyapunov exponents for a general…

混沌动力学 · 物理学 2007-05-23 Gregory Falkovich , Alexander Fouxon

The study considers advantages of the introduced measure of time based on the entropy change under irreversible processes (entropy production). Using the example of non-equilibrium expansion of an ideal gas in vacuum, such a measure is…

统计力学 · 物理学 2016-08-24 Leonid M. Martyushev , Evgenii V. Shaiapin

This paper address the question of thermodynamic entropy production in the context of the dynamical Casimir effect. Specifically, we study a scalar quantum field confined within a one-dimensional ideal cavity subject to time-varying…

量子物理 · 物理学 2024-01-18 Gustavo de Oliveira , Lucas C. Céleri

This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of thermalization, and the justification of…

统计力学 · 物理学 2011-05-31 Haye Hinrichsen , Christian Gogolin , Peter Janotta

We assume that markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential.…

统计力学 · 物理学 2015-05-30 Matteo Polettini

It is argued that a Gibbsian formula for the space-time distribution of microscopic trajectories of a nonequilibrium system provides a unifying framework for recent results on the fluctuations of the entropy production. The variable entropy…

统计力学 · 物理学 2007-05-23 C. Maes

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction. The result can be expressed as a sum of two terms, a classical term…

高能物理 - 理论 · 物理学 2019-08-15 Upamanyu Moitra , Ronak M Soni , Sandip P. Trivedi
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