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We revisist the issue of entanglement of thermal equilibrium states in composite quantum systems. The possible scenarios are exemplified in bipartite qubit/qubit and qubit/qutrit systems.

Quantum Physics · Physics 2009-11-11 O. Osenda , G. A. Raggio

We provide a quantum statistical basis for (a)a characterisation of a complete set of thermodynamic variables and (b) the differentiability of the entropy function of these variables

Mathematical Physics · Physics 2019-03-27 Geoffrey L. Sewell

Because only two variables are needed to characterize a simple thermodynamic system in equilibrium, any such system is constrained on a 2D manifold. Of particular interest are the exact 1-forms on the cotangent space of that manifold, since…

Mathematical Physics · Physics 2018-09-26 Chao Ju , Mark Stalzer

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed to improve the estimation of the energies of a physical system from the energies of a…

Chemical Physics · Physics 2015-06-24 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

Thermodynamics provides a unified perspective of thermodynamic properties of various substances. To formulate thermodynamics in the language of sophisticated mathematics, thermodynamics is described by a variety of differential geometries,…

Mathematical Physics · Physics 2023-03-13 Shin-itiro Goto

We present a validation of the asdf method, an information-theoretic framework for computing thermodynamic entropy from molecular configurations. The method reformulates entropy estimation as the Shannon entropy of a residual mapping…

Statistical Mechanics · Physics 2026-04-29 Dallin Fisher , Qi-Jun Hong

In systems with detailed balance, the stationary distribution and the equilibrium distribution are identical, creating a clear connection between energetic and entropic quantities. Many driven systems violate detailed balance and still pose…

Statistical Mechanics · Physics 2025-01-22 Markus Hofer , Jan Korbel , Rudolf Hanel , Stefan Thurner

We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal and sufficient set of relations. We apply the proposed…

Classical Physics · Physics 2021-05-19 Saad Benjelloun

Descriptions of molecular systems usually refer to two distinct theoretical frameworks. On the one hand the quantum pure state, i.e. the wavefunction, of an isolated system which is determined to calculate molecular properties and to…

Statistical Mechanics · Physics 2011-03-17 Barbara Fresch , Giorgio J. Moro

We compute the thermodynamic properties of the glass phase in a binary mixture of soft spheres. Our approach is a generalization to mixtures of the replica strategy, recently proposed by Mezard and Parisi, providing a first principle…

Condensed Matter · Physics 2009-10-31 Barbara Coluzzi , Marc Mezard , Giorgio Parisi , Paolo Verrocchio

We define the entropy S and uncertainty function of a squeezed system interacting with a thermal bath, and study how they change in time by following the evolution of the reduced density matrix in the influence functional formalism. As…

Quantum Physics · Physics 2014-11-18 D. Koks , A. Matacz , B. L. Hu

Differing reaction rates of long-lived nuclear states can force the level occupations out of thermal equilibrium, causing calculations of overall rates which rely on thermal equilibrium to be inaccurate. Therefore, nucleosynthesis…

High Energy Astrophysical Phenomena · Physics 2018-08-08 G. Wendell Misch , Surja K. Ghorui , Yang Sun

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Kirsten Martens , Olivier Dauchot , Michel Droz

On the basis of the balance equations for energy-momentum, spin, particle and entropy density, an approach is considered which represents a comparatively general framework for special- and general-relativistic continuum thermodynamics. In…

General Relativity and Quantum Cosmology · Physics 2009-11-13 W. Muschik , H. -H. v. Borzeszkowski

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi

We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

Statistical Mechanics · Physics 2019-11-11 Chaitanya Murthy , Mark Srednicki

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

We introduce an approach to exploit the existence of multiple levels of description of a physical system to radically accelerate the determination of thermodynamic quantities. We first give a proof of principle of the method using two…

Materials Science · Physics 2009-10-31 T. D. Engeness , T. A. Arias

We provide minimality criteria by construction of calibrations for functionals arising in the theory of Thermal Insulation.

Analysis of PDEs · Mathematics 2022-07-05 Camille Labourie , Emmanouil Milakis