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It is shown that the proof of [1] that the specific heat of the system of classical point particles interacting with each other via uniform gravitational potential energy may be negative is incorrect.

General Physics · Physics 2017-05-03 Ikhtier H. Umirzakov

Negative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We now report finding this phenomenon in bundles of nearly…

Statistical Mechanics · Physics 2009-11-13 T. D. Andersen , C. C. Lim

Negative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We now report finding this phenomenon in bundles of nearly…

Mathematical Physics · Physics 2008-02-29 T. D. Andersen , C. C. Lim

This work investigates how a conical singularity can affect the specific heat of systems. A free nonrelativistic particle confined to the lateral surface of a cone -- conical box -- is taken as a toy model. Its specific heat is determined…

General Relativity and Quantum Cosmology · Physics 2012-08-27 E. S. Moreira, , E. S. Oliveira

For students familiar with equilibrium statistical mechanics, the notion of a positive specific heat, being intimately related to the idea of stability, is both intuitively reasonable and mathematically provable. However, for system in…

Statistical Mechanics · Physics 2009-11-07 R. K. P. Zia , E. L. Praestgaard , O. G. Mouritsen

The concept of negative temperature (T < 0) is unique to quantum physics and describes systems that are hotter than any positive temperature system. For decades negative temperatures have been shown in a number of spin systems, but…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Richard A. Norte

We discuss the occurrence of negative specific heat in a nonextensive system which has an equilibrium second-order phase transition.The specific heat is negative only in a transient regime before equilibration, in correspondence to…

Nuclear Theory · Physics 2007-05-23 A. Rapisarda , V. Latora

Thermodynamics dictates that the specific heat of a system is strictly non-negative. However, in finite classical systems there are well known theoretical and experimental cases where this rule is violated, in particular finite atomic…

Statistical Mechanics · Physics 2015-06-15 Pablo Serra , Marcelo Carignano , Fahhad Alharbi , Sabre Kais

The evaluation of the specific heat of an open, damped quantum system is a subtle issue. One possible route is based on the thermodynamic partition function which is the ratio of the partition functions of system plus bath and of the bath…

Quantum Physics · Physics 2009-06-10 Gert-Ludwig Ingold , Peter Hänggi , Peter Talkner

A possible definition of the specific heat of open quantum systems is based on the reduced partition function of the system. For a free damped quantum particle, it has been found that under certain conditions, this specific heat can become…

Quantum Physics · Physics 2012-01-19 Gert-Ludwig Ingold

We show that systems with negative specific heat can violate the zeroth law of thermodynamics. By both numerical simulations and by using exact expressions for free energy and microcanonical entropy it is shown that if two systems with the…

Statistical Mechanics · Physics 2009-11-13 A. Ramirez-Hernandez , H. Larralde , F. Leyvraz

Starting from Antonov's discovery that there is no maximum to the entropy of a gravitating system of point particles at fixed energy in a spherical box if the density contrast between centre and edge exceeds 709, we review progress in the…

Statistical Mechanics · Physics 2009-10-31 D. Lynden-Bell

Black-holes in asymptotically flat space-times have negative specific heat --- they get hotter as they loose energy. A clear statistical mechanical understanding of this has remained a challenge. In this work, we address this issue using…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Swastik Bhattacharya , S. Shankaranarayanan

The thermodynamic properties of strongly correlated system with binary type of disorder are investigated using the combination of the coherent potential approximation and dynamical mean-field theory. The specific heat has a peak at small…

Strongly Correlated Electrons · Physics 2015-01-09 Alexander I. Poteryaev , Sergey V. Skornyakov , Alexander S. Belozerov , Vladimir I. Anisimov

The specific heat of an attractive (interaction $G<0$) non-local Hubbard model is investigated. We use a two-pole approximation which leads to a set of correlation functions. In particular, the correlation function $\…

Strongly Correlated Electrons · Physics 2013-05-15 E. J. Calegari , C. O. Lobo , S. G. Magalhaes , C. M. Chaves , A. Troper

We consider a soluble model of multifragmentation which is similar in spirit to many models which have been used to fit intermediate energy heavy ion collision data. In this model $c_v$ is always positive but for finite nuclei $c_p$ can be…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , A. Z. Mekjiani

Anomalous negative heat capacities have been claimed as indicators of first order phase transitions in finite systems in general, and fornuclear systems in particular. A thermodynamic approach allowing for all Q value terms is used to…

Nuclear Theory · Physics 2014-11-18 L. G. Moretto , J. B. Elliott , L. Phair , G. J. Wozniak

We investigate nonequilibrium steady states in a class of one-dimensional diffusive systems that can attain negative absolute temperatures. The cases of a paramagnetic spin system, a Hamiltonian rotator chain and a one-dimensional discrete…

Statistical Mechanics · Physics 2021-05-26 Marco Baldovin , Stefano Iubini

The virial theorem for non-relativistic complex fields in $D$ spatial dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to analyze quantum anomalies in…

High Energy Physics - Theory · Physics 2015-06-25 Chris L. Lin , Carlos R. Ordonez

According to thermodynamics, the specific heat of Boltzmannian short-range interacting systems is a positive quantity. Less intuitive properties are instead displayed by systems characterized by long-range interactions. In that case, the…

Statistical Mechanics · Physics 2015-05-18 F. Staniscia , A. Turchi , D. Fanelli , P. H. Chavanis , G. De Ninno
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