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We have made a simple and natural modification of a recent quantum refrigerator model presented by Cleuren et al. in Phys. Rev, Lett.108, 120603 (2012). The original model consist of two metal leads acting as heat baths, and a set of…

Statistical Mechanics · Physics 2016-03-09 Vegard B. Sørdal , Joakim Bergli , Y. M. Galperin

When the energy content of a resonant mode of a crystalline solid in thermodynamic equilibrium is directly measured, assuming that quantum effects can be neglected it coincides with temperature except for a proportionality factor. This is…

It is shown, that the radiation of the charge, moving with uniform acceleration or uniformly moving round a circle and also freely moving in a gravitational field, contradicts the principle of equivalence. It is also shown, that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stanislav Tereshchenko

We extend the theory of stochastic thermodynamics in three directions: (i) instead of a continuously monitored system we consider measurements only at an arbitrary set of discrete times, (ii) we allow for imperfect measurements and…

Statistical Mechanics · Physics 2019-08-27 Philipp Strasberg , Andreas Winter

The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical results for the ideal gas it is shown that taking the…

Statistical Mechanics · Physics 2011-01-17 A. S. Parvan , T. S. Biro

Ideal quantum measurement requires divergent thermodynamic resources. This is a consequence of the third law of thermodynamics, which prohibits the preparation of the measurement pointer in a fully erased, pure state required for the…

Quantum Physics · Physics 2026-03-18 Alessandro Candeloro , Tiago Debarba , Felix C. Binder

The ideal gas laws are derived from the democritian concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion aside from the law of energy conservation. A single…

Classical Physics · Physics 2013-04-23 Jacques Arnaud , Laurent Chusseau , Fabrice Philippe

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the Third Law of thermodynamics. The Gibbs-Duhem equation yields various simple methods to…

Statistical Mechanics · Physics 2018-09-28 Andrew Steane

We observe a significant steady-state deviation from the generalized equipartition theorem, one of the pivotal results of classical statistical mechanics, in a system of confined, laser cooled atoms. We quantify this deviation, measure its…

Statistical Mechanics · Physics 2020-04-29 Gadi Afek , Alexander Cheplev , Arnaud Courvoisier , Nir Davidson

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

Starting from a formulation for the $dS$ element that includes movement, and considering the variation of the entropy Lorentz invariant, we found the relativistic transformations for thermodynamic systems that satisfy the three laws of…

Classical Physics · Physics 2008-03-20 C. A. Farías , P. S. Moya , V. A. Pinto

Some features of hydro- and thermodynamics, as applied to atmospheres and to stellar structures, are puzzling: 1. The suggestion, first made by Laplace, that our atmosphere has an adiabatic temperature distribution, is confirmed for the…

Fluid Dynamics · Physics 2008-05-30 Christian Fronsdal

We investigate the overdamped stochastic dynamics of a particle in an asymptotically flat external potential field, in contact with a thermal bath. For an infinite system size, the particles may escape the force field and diffuse freely at…

Statistical Mechanics · Physics 2020-06-24 Erez Aghion , David A. Kessler , Eli Barkai

In a macroscopic (quantum or classical) Hamiltonian system, we prove the second law of thermodynamics in the forms of the minimum work principle and the law of entropy increase, under the assumption that the initial state is described by a…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormalization of the natural frequency of the periodic motion; and…

Statistical Mechanics · Physics 2023-07-04 Y. T. Liu , Y. H. Zhao , Y. Zhong , J. M. Shen , J. H. Zhang , Q. H. Liu

We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distribution. We show that if we require the second law to hold when…

Statistical Mechanics · Physics 2021-05-26 Jan Korbel , David H. Wolpert

Some analogies between different nonequilibrium heat conduction models, particularly, random walk, discrete variable model, and Boltzmann transport equation with the single relaxation time approximation, have been discussed. We show that…

Statistical Mechanics · Physics 2018-02-21 Sergey Sobolev

We argue that statistical mechanics of systems with relaxation implies breaking the energy function of systems into two having different transformation rules. With this duality the energy approach incorporates the generalized vortex forces.…

General Physics · Physics 2013-05-23 V. E. Shapiro

Equalities are generally more suitable for experimental verification than inequalities. In this work, I derive valid equalities from the Euler-Lagrange equation for the optimization of macroscopic thermodynamic averages in weakly driven…

Statistical Mechanics · Physics 2025-11-06 Pierre Nazé