We show that the low-temperature ideal kink-gas phenomenology developed by Currie et al. for the classical statistical mechanics of one-dimensional kink-bearing systems is exact for all potentials in the nonlinear Klein-Gordon family (e.g., sine-Gordon, φ⁴, double-sine-Gordon, etc.). A general kink-density formula is presented which does not require explicit knowledge of the kink wave form or its small oscillations.
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DeLeonardis et al. (1980) studied this question.
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