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In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a quantum system allows to derive…

Materials Science · Physics 2020-12-02 S. Selenu

Heat capacity measurements are a powerful tool that researchers rely on when studying the relationship between microscopic degrees of freedom and macroscopic behavior in condensed matter. This uniqueness stems from heat capacity capturing…

Strongly Correlated Electrons · Physics 2026-04-15 K. Ramesh Kumar , Xudong Huai , Michał J. Winiarski , Allen O. Scheie , Thao T. Tran

Anomalous temperature dependence of heat capacity of glassy systems during a cooling-heating cycle has remained an ill-understood problem for a long time. Most of the features observed in the experimental measurement of the heat capacity of…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical $z$ exponent. Quantum fluctuations, captured by the quantum variance (I. Fr\'erot and T. Roscilde, Phys. Rev. B 94, 075121 (2016)),…

Statistical Mechanics · Physics 2022-03-31 Irénée Frérot , Adam Rançon , Tommaso Roscilde

With a modulated oscillator, we study several effects of quantum fluctuations far from thermal equilibrium. One of them is quantum heating, where quantum fluctuations lead to a finite-width distribution of a resonantly modulated oscillator…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Vittorio Peano , M I Dykman

Micro-calorimetry offers significant potential as a quantitative method for studying the structure and function of biological systems, for instance, by probing the excess heat released by cellular or sub-cellular structures, isothermal or…

Biological Physics · Physics 2026-02-18 Faezeh Khodabandehlou , Christian Maes , Édgar Roldán

Contemporary understanding of thermalization in quantum field theory stems largely from understanding properties of transient excitations of equilibria. These nonhydrodynamic excitations are known to structurally differ between weakly- and…

High Energy Physics - Theory · Physics 2025-11-17 Xin An , Robbe Brants , Michal P. Heller , Yi Yin

It is well understood that many-body systems driven at high frequency heat up only exponentially slowly and exhibit a long prethermalization regime. We prove rigorously that a certain relevant class of systems heat very slowly under weak…

Statistical Mechanics · Physics 2019-11-06 Wojciech De Roeck , Victor Verreet

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

Statistical Mechanics · Physics 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

We measure the energy fluctuations of a Brownian particle confined by an optical trap in an aging gelatin after a very fast quench (less than 1 ms). The strong nonequilibrium fluctuations due to the assemblage of the gel, are interpreted,…

Statistical Mechanics · Physics 2011-04-13 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto

We derive a formula that defines quantum fluctuations of energy in subsystems of a hot relativistic gas. For small subsystem sizes we find substantial increase of fluctuations compared to those known from standard thermodynamic…

High Energy Physics - Phenomenology · Physics 2021-12-15 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

We present a theory that accurately describes the counting of excited states of a noninteracting fermionic gas. At high excitation energies the results reproduce Bethe's theory. At low energies oscillatory corrections to the many--body…

Nuclear Theory · Physics 2009-11-10 P. Leboeuf , A. G. Monastra , A. Relano

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

The thermal conductivity of nanometric objects or nanostructured materials can be determined using non equilibrium molecular dynamics (NEMD) simulations. The technique is simple in its principle, and resembles a numerical guarded hot plate…

Materials Science · Physics 2007-05-23 Patrice Chantrenne , Jean-Louis Barrat

Warming in complex physical systems, in particular global warming, attracts significant contemporary interest. It is essential, therefore, to understand basic physical mechanisms leading to overheating. It is well known that application of…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 N. Romero Kalmanovitz , A. A. Bykov , S. A. Vitkalov , A. I. Toropov

We consider the problem of the definition of an effective temperature via the long-time limit of the fluctuation-dissipation ratio (FDR) after a quench from the disordered state to the critical point of an O(N) model with dissipative…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi

Thermodynamic stability of statistical systems requires that susceptibilities be semipositive and finite. Susceptibilities are known to be related to the fluctuations of extensive observable quantities. This relation becomes nontrivial,…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

The thermodynamics for a system with given temperature, density, and volume is described by the Canonical ensemble. The thermodynamics for a corresponding system with the same temperature, volume, and average density is described by the…

Statistical Mechanics · Physics 2016-01-12 Debajit Chakraborty , James Dufty , Valentin V. Karasiev

Atomic heating is a fundamental phenomenon governed by the thermal spike effect during energetic deposition. This work presented another insight into thermal spike using a coupled classical oscillator model instead of a typical heat…

Computational Physics · Physics 2024-12-05 Jiajian Guan , Yue He , Bin Liao , Xu Zhang

We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

Statistical Mechanics · Physics 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi