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We study a nonlinear coupled system of partial differential equations arising from thermo--reaction--phase models. The system combines a heat diffusion equation, temperature-dependent chemical reactions of Arrhenius type, and a phase…

Analysis of PDEs · Mathematics 2026-04-24 Gossrin Jean-Marc Bomisso , Ali Ouattara Kouma , Marie Esther Anassé

Nonintegrable many-body quantum systems typically thermalize at long times through the mechanism of quantum chaos. However, some exceptional systems, such as those harboring quantum scars, break thermalization, serving as testbeds for…

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

Statistical Mechanics · Physics 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

We study the thermalization of an elementary quantum system modeled by a two-level atom interacting with stationary electromagnetic fields out of thermal equilibrium near a dielectric slab. The slab is held at a temperature different from…

Quantum Physics · Physics 2016-01-20 Puxun Wu , Hongwei Yu

We study the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol. We prove a universal positivity bound on…

High Energy Physics - Theory · Physics 2019-12-12 Ahmed Almheiri , Alexey Milekhin , Brian Swingle

The long time accumulation of the \textit{random} actions of a single particle "reservoir" on its coupled system can transfer some temperature information of its initial state to the coupled system. This dynamic process can be referred to…

Quantum Physics · Physics 2013-05-29 Jie-Qiao Liao , H. Dong , C. P. Sun

We present a methodical study of the thermal and nuclear properties for the hot nuclear matter using relativistic-mean field theory. We examine the effects of temperature on the binding energy, pressure, thermal index, symmetry energy, and…

High Energy Physics - Phenomenology · Physics 2021-09-17 Ankit Kumar , H. C. Das , M. Bhuyan , S. K. Patra

To understand under which conditions thermodynamics emerges from the microscopic dynamics is the ultimate goal of statistical mechanics. Despite the fact that the theory is more than 100 years old, we are still discussing its foundations…

Quantum Physics · Physics 2017-03-14 Fabio Anza , Vlatko Vedral

While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially in the case of quantum systems, which may even display…

The unknown temperature of a sample may be estimated with minimal disturbance by putting it in thermal contact with an individual quantum probe. If the interaction time is sufficiently long so that the probe thermalizes, the temperature can…

Quantum Physics · Physics 2015-06-09 Luis A. Correa , Mohammad Mehboudi , Gerardo Adesso , Anna Sanpera

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

We show that, in general, any complex weakly nonlinear highly multimode system can reach thermodynamic equilibrium that is characterized by a unique temperature and chemical potential. The conditions leading to either positive or negative…

Warm absorber spectra contain bound-bound and bound-free absorption features seen in the X-ray and UV spectra from many active galactic nuclei (AGN). The widths and centroid energies of these features indicate they occur in outflowing gas,…

High Energy Astrophysical Phenomena · Physics 2023-04-12 Dev R Sadaula , Manuel A Bautista , Javier A Garcia , Timothy R Kallman

An attempt toward the operational formulation of quantum thermodynamics is made by employing the recently proposed operations forming positive operator-valued measures for generating thermodynamic processes. The quantity of heat as well as…

Statistical Mechanics · Physics 2015-06-04 Sumiyoshi Abe , Yuki Aoyaghi

High energy heavy-ion collisions in laboratory produce a form of matter that can test Quantum Chromodynamics (QCD), the theory of strong interactions, at high temperatures. One of the exciting possibilities is the existence of…

High Energy Physics - Phenomenology · Physics 2020-04-10 Sourendu Gupta , Debasish Mallick , Dipak Kumar Mishra , Bedangadas Mohanty , Nu Xu

We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurements. We solve a problem raised by the recent work [Liu,…

Mathematical Physics · Physics 2026-03-09 Emanuele Caputo , Augusto Gerolin , Nataliia Monina , Pavlo Pelikh , Lorenzo Portinale

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasi-equilibrium states with a common…

Statistical Mechanics · Physics 2011-01-10 Alexey V. Ponomarev , Sergey Denisov , Peter Hänggi

Equation of state for partially ionized carbon at temperatures T > ~ 10^5 K is calculated in a wide range of densities, using the method of free energy minimization in the framework of the chemical picture of plasmas. The free energy model…

Plasma Physics · Physics 2007-05-23 A. Y. Potekhin , G. Massacrier , G. Chabrier

In this paper we examine the behavior in temperature of the free energy on quantum systems in an arbitrary number of dimensions. We define from the free energy a function $C$ of the coupling constants and the temperature, which in the…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

Bound-bound transitions can occur when localized atomic orbitals are thermally depleted, allowing excitations that would otherwise be forbidden at zero temperature. We predict signatures of bound-bound transitions in x-ray Thomson…

Plasma Physics · Physics 2021-09-21 Andrew D. Baczewski , Thomas Hentschel , Alina Kononov , Stephanie B. Hansen
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