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We use the non-equilibrium statistical field theory for classical particles recently developed by Mazenko and Das and Mazenko, together with the free generating functional for particles initially correlated in phase space derived in…

统计力学 · 物理学 2014-12-09 Elena Kozlikin , Felix Fabis , Robert Lilow , Celia Viermann , Matthias Bartelmann

Recently Mazenko and Das and Mazenko introduced a non-equilibrium field theoretical approach to describe the statistical properties of a classical particle ensemble starting from the microscopic equations of motion of each individual…

统计力学 · 物理学 2015-06-23 Celia Viermann , Felix Fabis , Elena Kozlikin , Robert Lilow , Matthias Bartelmann

We use the non-equlibrium statistical field theory for classical particles, recently developed by Mazenko and Das and Mazenko, together with the free generating functional we have previously derived for point sets initially correlated in…

宇宙学与河外天体物理 · 物理学 2014-11-06 Matthias Bartelmann , Felix Fabis , Daniel Berg , Elena Kozlikin , Robert Lilow , Celia Viermann

The canonical and grand-canonical ensembles are two usual marginal cases for ultracold Bose gases, but real collections of experimental runs commonly have intermediate properties. Here we study the continuum of intermediate cases, and look…

量子气体 · 物理学 2017-10-11 J. Pietraszewicz , E. Witkowska , P. Deuar

Statistical models based on canonical and grand canonical ensembles are extensively used to study intermediate energy heavy ion collisions. The underlying physical assumption behind canonical and grand canonical models is fundamentally…

核理论 · 物理学 2015-06-11 Swagata Mallik , Gargi Chaudhuri

Mayer cluster expansion is an important tool in statistical physics to evaluate grand canonical partition functions. It has recently been applied to the Nekrasov instanton partition function of $\mathcal{N}=2$ 4d gauge theories. The…

高能物理 - 理论 · 物理学 2014-02-04 Jean-Emile Bourgine

We introduce a nonequilibrium grand-canonical ensemble defined by considering the stationary state of a driven system of particles put in contact with a nonequilibrium particle reservoir. At odds with its equilibrium counterpart, or with…

统计力学 · 物理学 2021-02-10 Jules Guioth , Éric Bertin

Building upon the recent pioneering work by Mazenko and by Das and Mazenko, we develop a microscopic, non-equilibrium, statistical field theory for initially correlated canonical ensembles of classical microscopic particles obeying…

统计力学 · 物理学 2019-04-08 Matthias Bartelmann , Felix Fabis , Daniel Berg , Elena Kozlikin , Robert Lilow , Celia Viermann

In recent work we developed a description of cosmic large scale structure formation in terms of non-equilibrium ensembles of classical particles, with time evolution obtained in the framework of a statistical field theory. In these works,…

统计力学 · 物理学 2018-04-27 Felix Fabis , Elena Kozlikin , Robert Lilow , Matthias Bartelmann

Generalizations of the microcanonical and canonical ensembles for paths of Markov processes have been proposed recently to describe the statistical properties of nonequilibrium systems driven in steady states. Here we propose a theory of…

统计力学 · 物理学 2013-09-18 Raphael Chetrite , Hugo Touchette

Combining intuitive probabilistic assumptions with the basic laws of classical thermodynamics, using the latter to express probabilistic parameters in terms of the thermodynamic quantities, we get a simple unified derivation of the…

概率论 · 数学 2022-05-03 Vassili N. Kolokoltsov

In systems with long-range interactions, since energy is a non-additive quantity, ensemble inequivalence can arise: it is possible that different statistical ensembles lead to different equilibrium descriptions, even in the thermodynamic…

统计力学 · 物理学 2018-09-05 Marco Baldovin

Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential equations driven by a Poisson white noise have paths given by locally integrable functions. This makes it possible to define a class of ultra-violet…

数学物理 · 物理学 2010-01-15 S. Albeverio , H. Gottschalk , M. W. Yoshida

The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. The non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. In…

统计力学 · 物理学 2016-02-17 Julius Ruseckas

We review some recent progress on applications of Cluster Expansions. We focus on a system of classical particles living in a continuous medium and interacting via a stable and tempered pair potential. We review the cluster expansion in…

数学物理 · 物理学 2023-04-26 Dimitrios Tsagkarogiannis

We consider a system weakly interacting with a bath as a thermodynamic setting to establish a quantum foundation of statistical physics. It is shown that even if the composite system is initially in an arbitrary nonequilibrium pure quantum…

量子物理 · 物理学 2010-04-28 Jaeyoon Cho , M. S. Kim

It has recently been shown, by application of statistical mechanical methods to determine the canonical ensemble governing the equilibrium distribution of operator initial values, that complex quantum field theory can emerge as a…

高能物理 - 理论 · 物理学 2009-10-30 Stephen L. Adler , L. P. Horwitz

We develop a statistical field theory for classical Nambu dynamics by employing partially the method of quantum field theory. One of unsolved problems in Nambu dynamics has been to extend it to interacting systems without violating a…

统计力学 · 物理学 2025-12-15 Tamiaki Yoneya

This paper introduces a grand canonical mixture model to generalize the nonideal Rayleigh gas [5] to an asymptotically infinite amount of perturbed tagged particles. This model relies precisely on grand canonical tags, to preserve symmetry…

偏微分方程分析 · 数学 2026-05-20 Florent Fougères

The thermodynamics of a system of interacting bosonic particles and antiparticles in the presence of the Bose-Einstein condensate is studied in the framework of the Skyrme-like mean-field model. It is assumed that the total charge density…

核理论 · 物理学 2023-11-27 D. Anchishkin , V. Gnatovskyy , D. Zhuravel , V. Karpenko , I. Mishustin , H. Stoecker
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