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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

We recast the study of a closed string gas in a toroidal container in the physical situation in which the single string density of states is independent of the volume because energy density is very high. This includes the gas for the well…

High Energy Physics - Theory · Physics 2016-08-16 Manuel A. Cobas , M. A. R. Osorio , María Suárez

In a recent companion paper, we observed that the rules of ordinary thermodynamics generally fail to respect thermal duality, a symmetry of string theory under which the physics at temperature T is related to the physics at the inverse…

High Energy Physics - Theory · Physics 2009-11-10 Keith R. Dienes , Michael Lennek

We find that the gas of IIA strings undergoes a phase transition into a gas of IIB strings at the self-dual temperature. A gas of free heterotic strings undergoes a Kosterlitz-Thouless duality transition with positive free energy and…

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

Above the Hagedorn energy density closed fundamental strings form a long string phase. The dynamics of weakly interacting long strings is described by a simple Boltzmann equation which can be solved explicitly for equilibrium distributions.…

High Energy Physics - Theory · Physics 2010-11-01 D. A. Lowe , L. Thorlacius

We investigate the thermodynamics of asymptotically Anti-de Sitter charged and rotating black strings in extended phase space, in which the cosmological constant is interpreted as thermodynamic pressure and the thermodynamic volume is…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Hamid R. Bakhtiarizadeh

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

We discuss thermodynamic properties of dark energy using the formalism of field theory at finite temperature. In particular, we apply our formalism to a purely kinetic type of k-essence. We show quite generally that the entropy associated…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Neven Bilic

A study of the thermodynamics in IIA Matrix String Theory is presented. The free string limit is calculated and seen to exactly reproduce the usual result. When energies are enough to excite non-perturbative objects like D-particles and…

High Energy Physics - Theory · Physics 2009-10-31 Jesús Puente Peñalba

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

Thermodynamical aspects of string theory are reviewed and discussed.

High Energy Physics - Theory · Physics 2016-11-23 S. A. Abel , J. L. F. Barbon , I. I. Kogan , E. Rabinovici

We discuss the thermal properties of string gases propagating in various D-brane backgrounds in the weak-coupling limit, and at temperatures close to the Hagedorn temperature. We determine, in the canonical ensemble, whether the Hagedorn…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Abel , J. L. F. Barbon , I. I. Kogan , E. Rabinovici

The negative nature of the heat capacity $C_V$ of thermodynamically isolated self-gravitating systems is rediscussed in the framework of a non-extensive kinetic theory. It is found that the dependence of $C_V$ on the non-extensive parameter…

Astrophysics · Physics 2009-11-07 R. Silva , J. S. Alcaniz

We analyze a gas of noninteracting fermions confined to a one-dimensional harmonic oscillator potential, with the aim of distinguishing between two proposed definitions of the thermodynamic entropy in the microcanonical ensemble, namely the…

Statistical Mechanics · Physics 2017-03-13 Kenneth J. Higginbotham , Daniel E. Sheehy

We study the topological defects in the thermodynamics of regular black strings (from a four-dimensional perspective) that is symmetric under the double Wick rotation and constructed in the high-dimensional spacetime with an extra dimension…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Tran N. Hung , Cao H. Nam

According to the standard prescriptions, zero-temperature string theories can be extended to finite temperature by compactifying their time directions on a so-called "thermal circle" and implementing certain orbifold twists. However, the…

High Energy Physics - Theory · Physics 2015-06-05 Keith R. Dienes , Michael Lennek , Menika Sharma

We elucidate the properties of a gas of free closed bosonic strings in thermal equilibrium. Our starting point is the intensive generating functional of connected one-loop closed vacuum string graphs given by the Polyakov path integral.…

High Energy Physics - Theory · Physics 2014-11-18 S. Chaudhuri

We study non-canonical relaxation in a composite cold atoms system, consisting of subsystems that possess negative microcanonical specific heat. The system exhibits pre-thermalization far away from integrability due to the appearance of a…

Statistical Mechanics · Physics 2020-11-11 Sayak Ray , James R. Anglin , Amichay Vardi

It is shown that negative heat capacity in nanoclusters is an artifact of applying equilibrium thermodynamic formalism on a small system trapped out of equilibrium in a particular structural motif representing only part of the energetically…

Materials Science · Physics 2007-05-23 Karo Michaelian , Ivan Santamaria-Holek

Do negative absolute temperatures matter physics and specifically Statistical Physics? We provide evidence that we can certainly answer positively to this vexata quaestio. The great majority of models investigated by statistical mechanics…

Statistical Mechanics · Physics 2021-07-07 Marco Baldovin , Stefano Iubini , Roberto Livi , Angelo Vulpiani