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Abstract: A class of piecewise linear coupled map lattices with simple symbolic dynamics is constructed. It can be solved analytically in terms of the statistical mechanics of spin lattices. The corresponding Hamiltonian is written down explicitly in terms of the parameters of the map. The approach follows the line of recent mathematical investigations. But the presentation is kept elementary so that phase transitions in the dynamical model can be studied in detail. Although the method works only... (Update)
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BibTeX entry: (Update)
@misc{ approach-equilibrium,
author = "Lattices Pedestrian Approach",
title = "Equilibrium Phase Transitions in Coupled Map",
url = "citeseer.ist.psu.edu/607310.html" }
Citations (may not include all citations):144 Thermodynamic formalism (context) - Ruelle - 1978
27 Thermodynamics of chaotic systems (context) - Beck, Schlogl - 1995
21 Spacetime chaos in coupled map lattices (context) - Bunimovich, Sinai - 1988
12 Equilibrium measures for coupled map lattices: existence - Jiang, Pesin - 1998
11 Coupled analytic maps - Bricmont, Kupiainen - 1995
8 Transfer operators for coupled analytic maps - Fischer, Rugh - 2000
6 Macroscopic equilibrium from microscopic irreversibility in .. (context) - Miller, Huse - 1993
4 The entropy function for characteristic exponents (context) - Bohr, Rand - 1987
2 Spatiotemporal chaos in one--dimensional and two--dimensiona.. (context) - Kaneko - 1989
2 Scaling structures and statistical mechanics of type i inter.. (context) - Mori, Kobayashi et al. - 1989
2 Coupled map lattices with phase transition (context) - Gielis, MacKay - 2000
1 Equilibrium regained: From nonequilibrium chaos to statistic.. (context) - Egolf - 2000
1 Analytical approach for piecewise linear coupled map lattice.. - Just - 1998
1 Universality in ising--like phase transitions of lattices of.. (context) - Marcq, Chat'e et al. - 1997
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