Classical Thermodynamics of the Toda Lattice : As a.Classical Limit of the Two-Component Bethe Ansatz Scheme : Condensed Matter and Statistical Physics
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概要
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In our previous work thermodynamics of two-component (soliton and phonon) gas is constructed form the Yang-Yang equation for one-component integrable quantum gas. We call this the two-component Bethe ansatz (TCBA) scheme. The method is applied to the Toda lattice and its classical limit is analyzed. The key parameter k_F which distinguishes solitons from phonons within the TCBA scheme is chosen such that the resultant equations for effective energies of the modes coincide with those expected from the simple-minded ideal-gas phenomenology. The soliton specific heat exhibits a peculiar temperature dependence at low temperatures. It is however compensated with the anharmonic part of phonons.
- 理論物理学刊行会の論文
- 1986-10-25
著者
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TAKAYAMA Hajime
Research Institute for Fundamental Physics, Kyoto University
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ISHIKAWA Masakatsu
Tokoha Gakuen University
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Takayama Hajime
Research Institute For Fundamental Phisics Kyoto University
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