Nonuniversal nonequilibrium critical dynamics with disorder

We investigate finite-size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling their degrees of freedom, while the latter uses various tech...

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Detalles Bibliográficos
Autores principales: Grynberg, Marcelo Daniel, Rossini, Gerardo Luis, Stinchcombe, R. B.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126309
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.79.061126
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Sumario:We investigate finite-size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling their degrees of freedom, while the latter uses various techniques to map the equations of motion to a first-passage time process. Both approaches are consistent with nonuniversal dynamic exponents and with stretched exponential scaling forms for particular disorder realizations.