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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

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string consists of 2N pieces of equal length, of alternating type I and type II material, and is taken to be relativistic in the…

High Energy Physics - Theory · Physics 2009-09-25 I. Brevik , R. Sollie

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string is relativistic in the sense that the velocity of transverse waves is always equal to c. The great adaptibility of this string…

High Energy Physics - Theory · Physics 2007-05-23 I. Brevik

The main part of this paper is to present an updated review of the Casimir energy at zero and finite temperature for the transverse oscillations of a piecewise uniform closed string. We make use of three different regularizations: the…

Quantum Physics · Physics 2015-06-03 Iver Brevik

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The great adaptibility of this string model with respect to various regularization methods is pointed out. We survey several…

High Energy Physics - Theory · Physics 2007-05-23 I. Brevik , A. A. Bytsenko

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The great adaptability of this string model with respect to various regularization methods is pointed out. We survey several…

High Energy Physics - Theory · Physics 2007-05-23 I. Brevik , A. A. Bytsenko , B. M. Pimentel

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. In its simplest version the string consists of two parts I and II having in general different tension and mass density, but is always…

Quantum Physics · Physics 2015-05-19 Iver Brevik

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…

Information Theory · Computer Science 2010-12-24 Sergei Viznyuk

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

The main goal of this paper is to reach an explicit formulation and possible interpretation of thermodynamic length in a thermodynamic state space with two degrees of freedom. Using the energy and entropy metric in a general form, we get…

Mathematical Physics · Physics 2009-11-10 Manuel Santoro

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 the thermodynamic properties of a rigidly rotating relativistic Bose gas. First, we derive the solution of the equation of motion corresponding to a rotating complex Klein-Gordon field and determine the free propagator of this…

High Energy Physics - Phenomenology · Physics 2024-08-13 E. Siri , N. Sadooghi

We study the thermodynamics of open superstrings in the presence of $p$-dimensional D-branes. We get some finite temperature dualities relating the one-loop canonical free energy of open strings to the self-energy of D-branes at dual…

High Energy Physics - Theory · Physics 2009-10-30 M. A. Vazquez-Mozo

In the present paper, we study a model of a thermoelastic string that is initially heated. We classify all the possible asymptotic states when time tends to infinity of such a model. Actually, we show that whatever the initial data is, a…

Analysis of PDEs · Mathematics 2024-06-07 Piotr Michał Bies , Tomasz Cieślak

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,…

High Energy Physics - Theory · Physics 2015-06-26 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

We show that in the absence of a Ramond-Ramond sector both the type IIA and type IIB free string gases have a thermal instability due to low temperature tachyon modes. The gas of free IIA strings undergoes a thermal duality transition into…

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

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

We calculate the thermal partition function in the canonical ensemble for type IIB superstrings in the plane wave background with constant null R-R 5-form. The Hagedorn temperature is found to be higher than the corresponding value for…

High Energy Physics - Theory · Physics 2009-11-07 Leopoldo A. Pando Zayas , Diana Vaman

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

We present exact and explicit results for the thermodynamic properties (isochores, isotherms, isobars, response functions, velocity of sound) of a quantum gas in dimensions D>=1 and with fractional exclusion statistics 0<=g<=1 connecting…

Statistical Mechanics · Physics 2009-11-11 Geoffrey G. Potter , Gerhard Muller , Michael Karbach
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