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The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

Statistical Mechanics · Physics 2015-11-18 Robert H. Swendsen

We study the measure of complexity in solid Argon system from the time series data of kinetic energy of single Argon atoms at different equilibrated temperatures. To account the inherent multi-scale dependence of the complexity, the…

Data Analysis, Statistics and Probability · Physics 2015-10-30 A Giri , S Dey , P Barat

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

To make clear several issues relating with the thermodynamics of computations, we perform a simulation of a binary device using a Langevin equation. Based on our numerical results, we consider how to estimate thermodynamic entropy of…

chao-dyn · Physics 2019-08-17 Nobuko Fuchikami , Hijiri Iwata , Shunya Ishioka

Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems. A scale-invariant fluctuation spectrum at a quantum critical point…

Strongly Correlated Electrons · Physics 2015-10-28 Stefan Kirchner , Qimiao Si

A neurophysiological thesis is proposed for thermal sensitivity that accounts for the disorder in physical processes that is fundamental to temperature. There is likely some form of thermal equilibrium rapidly established between…

General Physics · Physics 2007-05-23 D. M. Snyder

Since reversible computing requires preservation of all information throughout the entire computational process, this implies that all errors that appear as a result of the interaction of the information-carrying system with uncontrolled…

Quantum Physics · Physics 2009-11-13 Lev B. Levitin , Tommaso Toffoli

For static matter in a gravitational field, different conventions for equilibrium local temperature exist in the classic physics literature. We illustrate the difference between two popular conventions using black-body radiation in a…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Pavel Kovtun

It has long been taken for granted that there is only one type of thermodynamic system near absolute zero temperature: the ordinary one compatible with all statements of the third law, with a fundamental yet tacit assumption that all heat…

Statistical Mechanics · Physics 2025-08-12 Q. H. Liu , S. F. Xiao , D. Guo , K. J. Yin

The concept of negative temperature has recently received renewed interest in the context of debates about the correct definition of the thermodynamic entropy in statistical mechanics. Several researchers have identified the thermodynamic…

Statistical Mechanics · Physics 2016-03-08 Robert H. Swendsen , Jian-Sheng Wang

Temperature is introduced as a derived concept from energy and entropy. We consider two sub-systems in equilibrium for several configurations. The equality of temperature of the sub-systems is obtained from the equilibrium condition. The…

General Physics · Physics 2007-05-23 Rodrigo de Abreu

Suitable Langevin thermostats are introduced which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schr\"odinger oscillators. The resulting non-equilibrium stationary states are…

Statistical Mechanics · Physics 2013-09-10 S. Iubini , S. Lepri , R. Livi , A. Politi

We review two definitions of temperature in statistical mechanics, $T_B$ and $T_G$, corresponding to two possible definitions of entropy, $S_B$ and $S_G$, known as surface and volume entropy respectively. We restrict our attention to a…

Statistical Mechanics · Physics 2015-12-14 Luca Cerino , Andrea Puglisi , Angelo Vulpiani

Employing one plus two-body random matrix ensembles for bosons, temperature and entropy are calculated, using different definitions, as a function of the two-body interaction strength \lambda for a system with 10 bosons (m=10) in five…

Chaotic Dynamics · Physics 2012-09-04 N. D. Chavda , V. K. B. Kota , V. Potbhare

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

Universal exact conditions guided the construction of most ground-state density functional approximations in use today. We derive the relation between the entropy and Mermin free energy density functionals for thermal density functional…

Chemical Physics · Physics 2016-05-25 Kieron Burke , Justin C. Smith , Paul E. Grabowski , Aurora Pribram-Jones

We investigate out-of-the equilibrium properties of the electron liquid in a two-dimensional disordered superconductor subject to the electric bias and temperature gradient. We calculate kinetic coefficients and Nyquist noise, and find that…

Strongly Correlated Electrons · Physics 2015-03-17 A. Petković , N. M. Chtchelkatchev , T. I. Baturina , V. M. Vinokur

The current noise density S of a conductor in equilibrium, the Johnson noise, is determined by its temperature T: S=4kTG with G the conductance. The sample's noise temperature Tn=S/(4kG) generalizes T for a system out of equilibrium. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Reulet , D. E. Prober

We propose an embedding of standard active particle models in terms of two-temperature processes. One temperature refers to an ambient thermal bath, and the other temperature effectively describes ``hot spots,'' i.e., systems with few…

Statistical Mechanics · Physics 2024-01-23 Faezeh Khodabandehlou , Christian Maes

The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy…

Statistical Mechanics · Physics 2009-11-13 Alex V. Popov , Rigoberto Hernandez
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