Thermodynamic Properties of the Piecewise Uniform String

Abstract

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 densities, adjusted in such a way that the velocity of sound always equals the velocity of light. The explicit calculation is done under the restrictive condition that the tension ratio x = T_I/T_II approaches zero. Also, the length ratio s = L_II/L_I is assumed to be an integer. The expression for F is given on an integral form, in which s is present as a parameter. For large values of s, the Hagedorn temperature becomes proportional to the square root of s.

32 pages, latex, no figures

References in corpus (1)

• On the Casimir energy for a 2N-piece relativistic string

Cited by in corpus (5)

• Electrodynamic Casimir Effect in a Medium-Filled Wedge
• Vector Generation Functions, q-Spectral Functions of Hyperbolic Geometry and Vertex Operators for Quantum Affine Algebras
• Mass and Decay Spectra of the Piecewise Uniform String
• Thermodynamic Properties of the 2N-Piece Relativistic String
• Casimir Effect for the Piecewise Uniform String