Affordable Access

deepdyve-link
Publisher Website

Thermodynamic Properties of the 2N-Piece Relativistic String

Authors
  • Brevik, Iver
  • Bytsenko, Andrei A.
  • Sollie, Roger
Type
Published Article
Publication Date
Mar 30, 2002
Submission Date
Dec 10, 2001
Identifiers
DOI: 10.1063/1.1540235
Source
arXiv
License
Unknown
External links

Abstract

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 is relativistic in the sense that the velocity of sound everywhere equals the velocity of light. The present paper is a continuation of two earlier papers, one dealing with the Casimir energy of a 2N--piece string [I. Brevik and R. Sollie (1997)], and another dealing with the thermodynamic properties of a string divided into two (unequal) parts [I. Brevik, A. A. Bytsenko and H. B. Nielsen (1998)]. Making use of the Meinardus theorem we calculate the asymptotics of the level state density, and show that the critical temperatures in the individual parts are equal, for arbitrary spacetime dimension D. If D=26, we find \beta= (2/N)\sqrt{2\pi /T_{II}}, T_{II} being the tension in part II. Thermodynamic interactions of parts related to high genus g is also considered.

Report this publication

Statistics

Seen <100 times