Distribution of dynamical quantities in the contact process, random walks, and quantum spin chains in random environments

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Distribution of dynamical quantities in the contact process, random walks, and quantum spin chains in random environments.

We study the distribution of dynamical quantities in various one-dimensional disordered models, the critical behavior of which is described by an infinite randomness fixed point. In the disordered contact process, the survival probability P(t) is found to show multiscaling in the critical point, meaning that P(t)=t-δ, where the (environment and time-dependent) exponent δ has a universal limit d...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2014

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.89.032108