We present a stochastic evolutionary model obtained through a perturbation of Kauffman's maximally rugged model, which is recovered as a special case. Our main results are: (i) existence of a percolation-like phase transition in the finite phase space case; (ii) existence of non-self-averaging effects in the thermodynamic limit. Lack of self-averaging emerges from a fragmentation of the space of all possible evolutions, analogous to that of a geometrically broken object. Thus the model turns out to be exactly solvable in the thermodynamic limit.

Percolation and lack of self-averaging in a frustrated evolutionary model / DE MARTINO, A.; Giansanti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - A31:(1998), pp. 8757-8771. [10.1088/0305-4470/31/44/005]

Percolation and lack of self-averaging in a frustrated evolutionary model

GIANSANTI, Andrea
1998

Abstract

We present a stochastic evolutionary model obtained through a perturbation of Kauffman's maximally rugged model, which is recovered as a special case. Our main results are: (i) existence of a percolation-like phase transition in the finite phase space case; (ii) existence of non-self-averaging effects in the thermodynamic limit. Lack of self-averaging emerges from a fragmentation of the space of all possible evolutions, analogous to that of a geometrically broken object. Thus the model turns out to be exactly solvable in the thermodynamic limit.
1998
01 Pubblicazione su rivista::01a Articolo in rivista
Percolation and lack of self-averaging in a frustrated evolutionary model / DE MARTINO, A.; Giansanti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - A31:(1998), pp. 8757-8771. [10.1088/0305-4470/31/44/005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/92762
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