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Universal scaling behavior at the upper critical dimension of nonequilibrium continuous phase transitions
1Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel.
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 nonequilibrium continuous phase transition. By focusing on the equation of state of the phase transition it is easy to extend our analysis to all equilibrium and nonequilibrium phase transitions observed numerically or experimentally.
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