High Temperature Expansions and Dynamical Systems

Details High Temperature Expansions and Dynamical Systems High Temperature Expansions and Dynamical Systems

1995-04-25

arxiv.org/abs/chao-dyn/9504015v1

Nonlinear Sciences

Chaotic Dynamics

33 pages, Latex; bricmont@fyma.ucl.ac.be; ajkupiai@cc.helsinki.fi

Scientific paper

10.1007/BF02108821

We develop a resummed high-temperature expansion for lattice spin systems
with long range interactions, in models where the free energy is not, in
general, analytic. We establish uniqueness of the Gibbs state and exponential
decay of the correlation functions. Then, we apply this expansion to the
Perron-Frobenius operator of weakly coupled map lattices.

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