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

Andrea De Martino; Andrea Giansanti

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arXiv · cond-mat/9806259

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

Andrea De Martino·Andrea Giansanti

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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.

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Andrea De Martino, Andrea Giansanti. 1998-06-22. Percolation and lack of self-averaging in a frustrated evolutionary model. https://arxiv.org/abs/cond-mat/9806259

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