We consider a one-dimensional lattice of expanding antisymmetric maps with nearest neighbor diffusive coupling. For such systems it is known that if the coupling parameter is small there is unique stationary (in time) state, which is chaotic in space-time. A disputed question is whether such systems can exhibit Ising-type phase transitions as the parameter grows beyond some critical value. We present results from computer experiments which give definite indication that such a transition takes place: the mean square magnetization appears to diverge as the coupling approaches some critical value, with a critical exponent around 0.9. We also study other properties of the coupled map system.

Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry / Boldrighini, Carlo; L. A., Bunimovich; G., Cosimi; S., Frigio; A., Pellegrinotti. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 102:5-6(2001), pp. 1271-1283. [10.1023/a:1004892312745]

Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry

BOLDRIGHINI, Carlo;
2001

Abstract

We consider a one-dimensional lattice of expanding antisymmetric maps with nearest neighbor diffusive coupling. For such systems it is known that if the coupling parameter is small there is unique stationary (in time) state, which is chaotic in space-time. A disputed question is whether such systems can exhibit Ising-type phase transitions as the parameter grows beyond some critical value. We present results from computer experiments which give definite indication that such a transition takes place: the mean square magnetization appears to diverge as the coupling approaches some critical value, with a critical exponent around 0.9. We also study other properties of the coupled map system.
2001
chaotic systems; coupled map lattices; ising-type transitions; ising-type transitions.; phase transitions
01 Pubblicazione su rivista::01a Articolo in rivista
Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry / Boldrighini, Carlo; L. A., Bunimovich; G., Cosimi; S., Frigio; A., Pellegrinotti. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 102:5-6(2001), pp. 1271-1283. [10.1023/a:1004892312745]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/28309
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