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Understanding the thermalization process in a pure quantum system is a challenge in theoretical physics. In this work, we explore possible thermalization mechanism in Yang-Mills(YM) theory by using a positive semi-definite quantum…

High Energy Physics - Phenomenology · Physics 2015-11-13 Hidekazu Tsukiji , Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We investigate thermalization process in relativistic heavy ion collisions in terms of the Husimi-Wehrl (HW) entropy defined with the Husimi function, a quantum distribution function in a phase space. We calculate the semiclassical time…

High Energy Physics - Phenomenology · Physics 2019-12-06 Hidekazu Tsukiji , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We investigate possible entropy production in Yang-Mills (YM) field theory by using a quantum distribution function called Husimi function $f_{\rm H}(A, E, t)$ for YM field, which is given by a coarse graining of Wigner function and…

High Energy Physics - Phenomenology · Physics 2016-11-30 Hidekazu Tsukiji , Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We discuss thermalization of isolated quantum systems by using the Husimi-Wehrl entropy evaluated in the semiclassical treatment. The Husimi-Wehrl entropy is the Wehrl entropy obtained by using the Husimi function for the phase space…

High Energy Physics - Phenomenology · Physics 2015-12-29 Hidekazu Tsukiji , Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

The Husimi distribution provides for a coarse grained representation of the phase space distribution of a quantum system, which may be used to track the growth of entropy of the system. We present a general and systematic method of solving…

Nuclear Theory · Physics 2018-05-16 Hung-Ming Tsai , Berndt Müller

We study the thermalization process in classical Yang-Mills (CYM) field theory starting from noisy glasma-like initial conditions by investigating the initial-value sensitivity of trajectories. Kunihiro et al. linked entropy generation to…

High Energy Physics - Phenomenology · Physics 2013-11-20 Hideaki Iida , Teiji Kunihiro , Berndt Mueller , Akira Ohnishi , Andreas Schaefer , Toru T. Takahashi

We propose a broadly applicable formalism for the description of coarse grained entropy production in quantum mechanical processes. Our formalism is based on the Husimi transform of the quantum state, which encodes the notion that…

High Energy Physics - Phenomenology · Physics 2010-04-21 Teiji Kunihiro , Berndt Muller , Akira Ohnishi , Andreas Schafer

We analyse a non-equilibrium exclusion process in which particles are created and annihilated in pairs and hop to the the right or to the left with different transition rates, $p$ and $q$, respectively. We have studied the dynamics of a…

Statistical Mechanics · Physics 2016-01-20 M. O. Hase , T. Tomé , M. J. de Oliveira

Entropy production quantifies the breaking of time-reversal symmetry in non-equilibrium systems. Here, we develop a direct method to obtain closed, tractable expressions for entropy production in a broad class of dynamical density…

Statistical Mechanics · Physics 2026-02-03 Antonin Brossollet , Giulio Biroli

Entropy production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The entropy production rate is found to increase during the spinodal decomposition stage…

Statistical Mechanics · Physics 2019-03-18 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Zhihua Chen , Sauro Succi

We study the nonreciprocal Cahn-Hilliard model with thermal noise as a prototypical example of a generic class of non-Hermitian stochastic field theories, analyzed in two companion papers [Suchanek, Kroy, Loos, ArXiv:2303.16701 (2023);…

Soft Condensed Matter · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

We consider a one-dimensional persisent random walk viewed as a deterministic process with a form of time reversal symmetry. Particle reservoirs placed at both ends of the system induce a density current which drives the system out of…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman

Husimi function (Q-function) of a quantum state is the distribution function of the density operator in the coherent state representation. It is widely used in theoretical research, such as in quantum optics. The Wehrl entropy is the…

Quantum Physics · Physics 2025-07-14 Chen Xu , Yiqi Yu , Peng Zhang

We analyze the time evolution of several physical observables, namely the pressure anisotropy, the scalar condensate, the charge density, and also, for the first time, the non-equilibrium entropy for a Bjorken expanding strongly coupled…

High Energy Physics - Theory · Physics 2022-12-26 Romulo Rougemont , Willians Barreto

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…

Statistical Mechanics · Physics 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

We are concerned with an information-theoretic measure of uncertainty for quantum systems. Precisely, the Wehrl entropy of the phase-space probability $Q^{(m)}_{\hat{\rho}}=\left\langle z,m|\hat{\rho}|z,m\right\rangle $ which is known as…

Mathematical Physics · Physics 2018-07-10 Z. Mouayn , H. Kassogue , P. Kayupe Kikodio , I. F. Fatani

We study the production of entropy in the context of a nonequilibrium chiral phase transition. The dynamical symmetry breaking is modeled by a Langevin equation for the order parameter coupled to the Bjorken dynamics of a quark plasma. We…

We study the coupled Wong Yang-Mills equations for both U(1) and SU(2) gauge groups and anisotropic particle momentum distributions numerically on a lattice. For weak fields with initial energy density much smaller than that of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adrian Dumitru , Yasushi Nara

Quantifying the degree of irreversibility of an open system dynamics represents a problem of both fundamental and applied relevance. Even though a well-known framework exists for thermal baths, the results give diverging results in the…

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira
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