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We examine the non-extensive approach to the statistical mechanics of Hamiltonian systems with $H=T+V$ where $T$ is the classical kinetic energy. Our analysis starts from the basics of the formalism by applying the standard variational…

Statistical Mechanics · Physics 2015-05-28 J. F. Lutsko , J. P. Boon

The main idea in the present work is the definition of an experimental proposal for the detection of the number of extra{compact dimensions contained as a core feature in String Theory. This goal will be achieved as a consequence of the…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Sergio Gutiérrez , Abel Camacho , Héctor Hernández

We consider an ensemble of closed strings in a compact space with stable one cycles and compute the speed of sound resulting from string thermodynamics. Possible applications to the issue of Jeans instability in string gas cosmology are…

High Energy Physics - Theory · Physics 2009-02-09 Nima Lashkari , Robert H. Brandenberger

The existence of the thermodynamic limit in spin systems with short- and long-range interactions is established. We consider the infinite-volume limit with a fixed shape of the system. The variational expressions of the entropy density and…

Statistical Mechanics · Physics 2015-03-18 Takashi Mori

Proceeding from the model of a two-dimensional elastic continuum, we describe the characteristic features of thermal expansion of graphene using an approach that goes beyond the quasi-harmonic approximation. The negative value of the…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Viktor N. Bondarev , Vadym Adamyan , Volodymyr V. Zavalniuk

Microcanonical statistics can be well applied to non-extensive systems like nuclei, atomic clusters and systems at phase transitions of first order with inhomogeneous configurations like phase separation. No thermodynamic limit has to be…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross

The thermodynamic free energy F(\beta) is calculated for a gas consisting of the transverse oscillations of a piecewise uniform bosonic string. The string consists of 2N parts of equal length, of alternating type I and type II material, and…

High Energy Physics - Theory · Physics 2009-01-14 Iver Brevik , Andrei A. Bytsenko , Roger Sollie

The canonical statistics describes the statistical properties of an open system by assuming its coupling with the heat bath infinitesimal in comparison with the total energy in thermodynamic limit. In this paper, we generally derive a…

Statistical Mechanics · Physics 2014-12-24 D. Z. Xu , Sheng-Wen Li , X. F. Liu , C. P. Sun

We have numerically studied the thermodynamic properties of the spin 1/2 XXZ chain in the presence of a transverse (non commuting) magnetic field. The thermal, field dependence of specific heat and correlation functions for chains up to 20…

Strongly Correlated Electrons · Physics 2009-11-13 M. Siahatgar , A. Langari

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

We study heat conduction in a system of hard disks confined to a narrow two dimensional channel. The system is initially in a high density solid-like phase. We study, through nonequilibrium molecular dynamics simulations, the dependence of…

Statistical Mechanics · Physics 2009-11-11 Debasish Chaudhuri , Abhishek Dhar

The thermodynamics of hot and dense matter created in heavy-ion collision experiments are usually studied as a system of infinite volume. Here we report on possible effects for considering a finite system size for such matter in the…

High Energy Physics - Phenomenology · Physics 2015-04-16 Abhijit Bhattacharyya , Rajarshi Ray , Subhasis Samanta , Subrata Sur

We calculate the free energy, energy and entropy in the matrix quantum mechanical formulation of 2D string theory in a background strongly perturbed by tachyons with the imaginary Minkowskian momentum $\pm i/R$ (``Sine-Liouville'' theory).…

High Energy Physics - Theory · Physics 2009-11-07 Sergei Yu. Alexandrov , Vladimir A. Kazakov

The thermodynamic free energy F is calculated for a gas whose particles are the quantum excitations of a piecewise uniform bosonic string. The string consists of two parts of length L_I and L_II, endowed with different tensions and mass…

High Energy Physics - Theory · Physics 2009-01-14 I. Brevik , A. A. Bytsenko , H. B. Nielsen

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical temperature introduced through the generalized zeroth law of…

Statistical Mechanics · Physics 2007-05-23 Sumiyoshi Abe

Several approximations are made to study the microcanonical formalism that are valid in the thermodynamics limit. Usually it is assumed that: 1)Stirling approximation can be used to evaluate the number of microstates; 2) the surface entropy…

General Physics · Physics 2015-10-07 E. N. Miranda , Dalia S. Bertoldi

When we consider five-dimensional warped Taub-NUT/Bolt AdS black string with minimally coupled massive scalar field, we calculate entropy by using the brick wall method. It is found that they are proportional to being quadratically…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Chong Oh Lee

We consider chains of rotors subjected to both thermal and mechanical forcings,in a nonequilibrium steady-state. Unusual nonlinear profiles of temperature and velocities are observed in the system. In particular, the temperature is maximal…

Statistical Mechanics · Physics 2015-05-28 Alessandra Iacobucci , Frederic Legoll , Stefano Olla , Gabriel Stoltz

The thermofield dynamics of the D=26 closed bosonic thermal string theory is described in proper reference to the thermal duality symmetry as well as the thermal stability of modular invariance in association with the global phase structure…

High Energy Physics - Theory · Physics 2007-05-23 H. Fujisaki , K. Nakagawa