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We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system,…

高能物理 - 理论 · 物理学 2015-06-26 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

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…

统计力学 · 物理学 2009-11-13 A. Ramirez-Hernandez , H. Larralde , F. Leyvraz

The computation of the microcanonical density of states for a string gas in a finite volume needs a one by one count because of the discrete nature of the spectrum. We present a way to do it using geometrical arguments in phase space. We…

高能物理 - 理论 · 物理学 2016-08-15 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

Thermodynamic properties such as temperature, pressure, and internal energy have been defined for finite binary strings from equilibrium distribution of a chosen computable measure. It is demonstrated a binary string can be associated with…

信息论 · 计算机科学 2010-12-24 Sergei Viznyuk

For models which exhibit a continuous phase transition in the thermodynamic limit a numerical study of small systems reveals a non-monotonic behaviour of the microcanonical specific heat as a function of the system size. This is in contrast…

统计力学 · 物理学 2009-11-10 H. Behringer , M. Pleimling , A. Hueller

Both the canonical and microcanonical ensembles are utilized to study the thermodynamic and evaporation properties of a closed black cosmic string whose spacetime is asymptotically anti deSitter. There are similarities and differences to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Andrew DeBenedictis

We study the microcanonical description of string gases in the presence of D-branes. We obtain exact expressions for the single string density of states and draw the regions in phase space where asymptotic approximations are valid. We are…

高能物理 - 理论 · 物理学 2007-05-23 Marco Laucelli Meana , Jesús Puente Peñalba

In these lecture notes I give a pedagogical introduction to the thermodynamics of ideal string gases. The computation of thermodynamic quantities in the canonical ensemble formalism will be shown in detail with explicit examples. Attention…

高能物理 - 理论 · 物理学 2014-12-08 Lihui Liu

Microcanonical equations for several thermodynamic properties of a system, suitable for molecular dynamics simulations, are derived from the nonextensive Tsallis entropy functional. Two possible definitions of temperature, the usual one and…

统计力学 · 物理学 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

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…

核理论 · 物理学 2009-11-10 C. B. Das , S. Das Gupta , A. Z. Mekjiani

We discuss the thermodynamics of a gas of free particles obeying Haldane's exclusion statistics, deriving low temperature and low density expansions. For gases with a constant density of states, we derive an exact equation of state and find…

凝聚态物理 · 物理学 2009-10-28 Serguei B. Isakov , Daniel P. Arovas , Jan Myrheim , Alexios P. Polychronakos

We study the thermal ensemble of a gas of free strings in presence of a magnetic field. We find that the thermodynamical partition function diverges when the magnetic field exceeds some critical value $B_{\rm cr}$, which depends on the…

高能物理 - 理论 · 物理学 2009-10-28 J. G. Russo

The non-extensive self-consistent theory describing the thermodynamics of hadronic systems at high temperatures is used to derive some thermodynamical quantities, as pressure, entropy, speed of sound and trace-anomaly. The calculations are…

高能物理 - 唯象学 · 物理学 2013-03-05 Airton Deppman

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…

核理论 · 物理学 2007-05-23 A. Rapisarda , V. Latora

Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T, is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of…

高能物理 - 理论 · 物理学 2009-11-10 Keith R. Dienes , Michael Lennek

The underlying connection between the degrees of freedom of a system and its nonextensive thermodynamic behavior is addressed. The problem is handled by starting from a thermodynamical system with fractal structure and its analytical…

统计力学 · 物理学 2021-09-17 A. Deppman , J. A. S. Lima

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…

统计力学 · 物理学 2015-05-18 F. Staniscia , A. Turchi , D. Fanelli , P. H. Chavanis , G. De Ninno

One of the most intriguing features of string thermodynamics is thermal duality, which relates the physics at temperature T to the physics at inverse temperature 1/T. Unfortunately, the traditional definitions of thermodynamic quantities…

高能物理 - 理论 · 物理学 2007-05-23 Keith R. Dienes , Michael Lennek

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…

统计力学 · 物理学 2015-08-10 Liyan Liu , Zhipeng Liu , Lina Guo

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…

统计力学 · 物理学 2016-03-08 Robert H. Swendsen , Jian-Sheng Wang
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