Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field

Details Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field

2002-04-30

arxiv.org/abs/cond-mat/0204634v1

Journal of Physics A 35, 4853 (2002)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 figures, accepted for publication in J. Phys. A

Scientific paper

We consider two mean-field like models which belong to the universality class of absorbing phase transitions with a conserved field. In both cases we derive analytically the order parameter as function of the control parameter and of an external field conjugated to the order parameter. This allows us to calculate the universal scaling function of the mean-field behavior. The obtained universal function is in perfect agreement with recently obtained numerical data of the corresponding five and six dimensional models, showing that four is the upper critical dimension of this particular universality class.

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