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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 obtain exact solutions to the two-dimensional Klein-Gordon oscillator in a non-commutative complex phase space to first order in the non-commutativity parameter. We derive the exact non-commutative energy levels and show that the energy…

High Energy Physics - Theory · Physics 2017-11-16 Slimane Zaim , Hakim Guelmamene , Yazid Delenda

Systems with long-range as well with short-range interactions should necessarily have a convex entropy S(E) at proper phase transitions of first order, i.e. when a separation of phases occurs. Here the microcanonical heat capacity c(E)=…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

The constant-volume heat capacity, C_V(T, rho), of the restricted primitive model (RPM) electrolyte is considered in the vicinity of its critical point. It is demonstrated that, despite claims, recent simulations for finite systems do not…

Soft Condensed Matter · Physics 2009-10-31 Erik Luijten , Michael E. Fisher , Athanassios Z. Panagiotopoulos

We show that the vacuum (zero-point) energy of a low-temperature quantum liquid is a variable property which changes with the state of the system, in notable contrast to the static vacuum energy in solids commonly considered. We further…

Statistical Mechanics · Physics 2016-04-07 K. Trachenko , V. V. Brazhkin

We use physical constrains imposed from the H-Theorem and from the negative nature of the heat capacity of self-gravitating thermodynamically isolated systems to investigate some possible limits on the stellar polytrope index $n$ within the…

Astrophysics · Physics 2009-11-10 R. Silva , J. S. Alcaniz

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

Well known results in string thermodynamics show that there is always a negative specific heat phase in the microcanonical description of a gas of closed free strings whenever there are no winding modes present. We will carefully compute…

High Energy Physics - Theory · Physics 2009-11-10 Manuel A. Cobas , M. A. R. Osorio , María Suárez

The positivity of the heat capacity is the hallmark of thermal stability of systems in thermodynamic equilibrium. We show that this property remains valid for systems with negative derivative of energy with respect to temperature, as…

Statistical Mechanics · Physics 2020-06-24 Mário J. de Oliveira

In nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with…

Statistical Mechanics · Physics 2018-12-13 Alessandro Campa , Lapo Casetti , Ivan Latella , Agustín Pérez-Madrid , Stefano Ruffo

In the framework of extended thermodynamics, where the cosmological constant $\Lambda$ plays the role of a dynamical pressure $p$, its conjugate variable $V$ arises naturally. This makes it possible to define $C_p$ and $C_V$, the heat…

High Energy Physics - Theory · Physics 2025-02-05 Roberto Nazario

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use the theory to understand the phenomena of negative specific heat in some self-gravitating systems. The stability analysis is made…

Statistical Mechanics · Physics 2015-08-10 Liyan Liu , Zhipeng Liu , Lina Guo

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

We consider the critical system with a point defect and study the variation of thermodynamic quantities, which are the differences between those with and without the defect. Within renormalization group theory, we show generally that the…

Statistical Mechanics · Physics 2015-09-16 Xintian Wu , Yangyang Zhang

The curvaton reheating mechanism in a non-minimal derivative coupling to gravity for any non-oscillating (NO) model is studied. In this framework, we analyze the energy density during the kinetic epoch and we find that this energy has a…

General Relativity and Quantum Cosmology · Physics 2016-10-05 Ramon Herrera , Joel Saavedra , Cuauhtemoc Campuzano

We identify conditions for the presence of negative specific heat in non-relativistic self-gravitating systems and similar systems of attracting particles. The method used, is to analyse the Virial theorem and two soluble models of systems…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bjorn Einarsson

We present a systematic study of the thermodynamics of two and three-dimensional generalized Lennard-Jones ($LJ$) systems focusing on the relationship between the range of the potential, the system density and its dimension. We found that…

Statistical Mechanics · Physics 2007-05-23 M. J. Ison , A. Chernomoretz , C. O. Dorso

Recently, a conjecture has been proposed, which indicates a correlation between super-entropy black holes and the thermodynamic instability \cite{Cong:2019bud}. W.Cong et al. suggested that the $C_{V}$ (specific heat capacity at constant…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Yue Song , Benrong Mu

Steady nonequilibria dissipate energy and, when changing external parameters, an extra or excess heat accompanies the relaxation to the new nonequilibrium condition. For nonequilibrium systems in contact with a thermal bath, the heat…

Statistical Mechanics · Physics 2025-07-22 Lander Bogers , Faezeh Khodabandehlou , Christian Maes

By using freeze-out properties of multifragmenting hot nuclei produced in quasifusion central $^{129}$Xe+$^{nat}$Sn collisions at different beam energies (32, 39, 45 and 50 AMeV) which were estimated by means of a simulation based on…

Nuclear Experiment · Physics 2022-11-21 B. Borderie , S. Piantelli , J. D. Frankland , N. Le Neindre
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