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We examine the minimization of information entropy for measures on the phase space of bounded domains, subject to constraints that are averages of grand canonical distributions. We describe the set of all such constraints and show that it…

数学物理 · 物理学 2019-10-02 Stamatis Dostoglou , Alexander Hughes , Jianfei Xue

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

量子气体 · 物理学 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

强关联电子 · 物理学 2019-03-12 A. A. Katanin

The microcanonical statistical mechanics of a set of self-gravitating particles is analyzed in mean-field approach. In order to deal with an upper bounded entropy functional, a softened gravitational potential is used. The softening is…

统计力学 · 物理学 2008-11-26 Eduardo Follana , Victor Laliena

On a fine grained scale the Gibbs entropy of an isolated system remains constant throughout its dynamical evolution. This is a consequence of Liouville's theorem for Hamiltonian systems and appears to contradict the second law of…

统计力学 · 物理学 2017-07-05 Renato Pakter , Yan Levin

This paper studies the Gibbs measure of an interacting particle system with a general interaction kernel at various temperature regimes. We are particularly interested in fine features of the convergence to the mean-field density as the…

概率论 · 数学 2025-06-17 David Padilla-Garza

Thermodynamics has recently been extended to small scales with resource theories that model heat exchanges. Real physical systems exchange diverse quantities: heat, particles, angular momentum, etc. We generalize thermodynamic resource…

量子物理 · 物理学 2016-03-02 Nicole Yunger Halpern , Joseph M. Renes

While the properties and the shape of the ground state of a gas of ultracold bosons are well understood in harmonic potentials, they remain for a large part unknown in the case of random potentials. Here, we use the localization-landscape…

量子气体 · 物理学 2023-04-11 Filippo Stellin , Marcel Filoche , Frédéric Dias

Identifying heterogeneous structures in glasses --- such as localized soft spots --- and understanding structure-dynamics relations in these systems remain major scientific challenges. Here we derive an exact expression for the local…

软凝聚态物质 · 物理学 2017-08-16 Jacques Zylberg , Edan Lerner , Yohai Bar-Sinai , Eran Bouchbinder

A self-consistent approach based on finite temperature Green's functions is used to investigate thermodynamic properties of nuclear matter. The internal energy is derived from the diagrams associated to the interaction energy. Pressure and…

核理论 · 物理学 2008-11-26 V. Soma , P. Bozek

We investigate the effect of a quench from a one-dimensional gas with strong and repulsive local interactions to a strongly attractive one, known as the super-Tonks-Girardeau effect. By incorporating both an optical lattice and non-local…

Local thermal equilibrium generally implies the absence of heat flux within a fluid. We find the relations between a set of thermodynamic variables of a fluid on a general spacetime and those defined on a conformally connected spacetime,…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Bhera Ram , Bibhas Ranjan Majhi

This paper deals with rare events in a general {interacting gas} at high temperature, by means of Large Deviations Principles. The main result is an LDP for the tagged empirical field, which features the competition of an energy term and an…

概率论 · 数学 2025-06-17 David Padilla-Garza

We give a variational formulation of classical statistical mechanics where the one-body density and the local entropy distribution constitute the trial fields. Using Levy's constrained search method it is shown that the grand potential is a…

软凝聚态物质 · 物理学 2015-05-30 Matthias Schmidt

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighbourhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in…

广义相对论与量子宇宙学 · 物理学 2013-10-04 Arpan Bhattacharyya , Aninda Sinha

In this paper, the generalized second law (GSL) of thermodynamics and entropy is revisited in the context of cosmological models in Gauss-Bonnet gravity with the boundary of the universe is assumed to be enclosed by the dynamical apparent…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Hossein Farajollahi , Amin Salehi

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

软凝聚态物质 · 物理学 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

We report an ab initio evaluation of the surface energy of a simple metal, performed via a coupling-constant integration over the dynamical density-response function. The rapid rate of change of the electron density at the surface is…

材料科学 · 物理学 2009-10-30 J. M. Pitarke , A. G. Eguiluz

In open systems with strong coupling, the interaction energy between the system and the environment is significant, so thermodynamic quantities cannot be reliably obtained by traditional statistical mechanics methods. The Hamiltonian of…

统计力学 · 物理学 2025-05-02 Mohammad Rahbar , Christopher J. Stein

By combining the upper and lower bounds to the free energy as given by the Gibbs inequality for two systems with the same intermolecular interactions but with external fields differing from each other only in a finite region of space Gamma,…

统计力学 · 物理学 2016-08-31 John D. Weeks
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