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Phys Rev Lett. 2003 May 30;90(21):210601. Epub 2003 May 27.

Universal behavior of crossover scaling functions for continuous phase transitions.

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1
Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel.

Abstract

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class; i.e., they are characterized by the same scaling functions and the same critical exponents. Varying the range of interactions, we examine the crossover from the mean-field-like to the non-mean-field scaling behavior. A phenomenological scaling form is applied in order to describe the full crossover region, which spans several decades. Our results strongly support the hypothesis that the crossover function is universal.

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