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Statistical mechanics of nonlinear Klein–Gordon chains: the φ8-chain and the Gaussian double-well model

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  • Lee, J.Y
  • Liu, K.L

Abstract

We study the statistical mechanics of two models of nonlinear Klein–Gordon chain: the ‘φ8-chain’ with the single-site potential v(y)=a(y2−1)4, and the Gaussian double-well model with v(y)=12ky2+bexp(−12cy2) where a,b,c and k are positive constants. The thermodynamics of the classical chains is investigated by the transfer-integral equation technique and the pseudo-Schrödinger equation approximation. The results for the heat capacity, the displacement correlation function, and the wave-vector-dependent susceptibility are compared with those of the familiar φ4-chain. The partition functions of the quantum chains are calculated by the low-coupling effective potential method. The effects of quantum fluctuations on the low-temperature heat capacity are examined.

Suggested Citation

  • Lee, J.Y & Liu, K.L, 2000. "Statistical mechanics of nonlinear Klein–Gordon chains: the φ8-chain and the Gaussian double-well model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 573-587.
    • Handle: RePEc:eee:phsmap:v:286:y:2000:i:3:p:573-587
    DOI: 10.1016/S0378-4371(00)00317-4
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