Statistical Mechanics of Kinks in (1+1)-Dimensions

Details Statistical Mechanics of Kinks in (1+1)-Dimensions Statistical Mechanics of Kinks in (1+1)-Dimensions

1992-12-09

arxiv.org/abs/hep-th/9212059v1

Phys.Rev.Lett. 71 (1993) 955-958

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex (4 figures available on request), LA-UR-92-3991

Scientific paper

10.1103/PhysRevLett.71.955

We investigate the thermal equilibrium properties of kinks in a classical $\phi^4$ field theory in $1+1$ dimensions. The distribution function, kink density, and correlation function are determined from large scale simulations. A dilute gas description of kinks is shown to be valid below a characteristic temperature. A double Gaussian approximation to evaluate the eigenvalues of the transfer operator enables us to extend the theoretical analysis to higher temperatures where the dilute gas approximation fails. This approach accurately predicts the temperature at which the kink description breaks down.

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