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

J.y Lee and K.l Liu

Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 3, 573-587

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.

Keywords: Nonlinear Klein–Gordon chain; Double-well potentials; Thermodynamic properties (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:3:p:573-587

DOI: 10.1016/S0378-4371(00)00317-4

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