1970: In Archive for Rational Mechanics and Analysis, 37,181--191, 1970.

Author: J. G. Gallavotti, T.F. Lin

Title: One dimensional lattice gases with rapidly decreasing interactions

Abstract: We consider the pressure and the correlation functions of a one dimensional lattice gas in which the mutual interaction decreases as $r \exp(-n^t)$, ($r,t>0$), when the nterparticle distance $n\to\infty$. We prove that such a system cannot show phase transitions of order $k\ge1$ in the sense that the pressure and the corelation functions are infinitely differentiable with respect to any relevant parameter (such as th temperature or the chemical potential).

Key words:  Equilibrium Statistical Mechanics, Absence Phase Transitions, Gibbs States,

Giovanni Gallavotti
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