Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions

Abstract

In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of the upper critical dimension. We apply our method to a non-equilibrium continuous phase transition. But focusing on the equation of state of the phase transition it is easy to extend our analysis to all equilibrium and non-equilibrium phase transitions observed numerically or experimentally.

4 pages, 3 figures

References in corpus (2)

• Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
• Scaling behavior of the conserved transfer threshold process

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