Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
arXiv:cond-mat/0204634 · doi:10.1088/0305-4470/35/23/304
Abstract
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.
8 pages, 2 figures, accepted for publication in J. Phys. A
References in corpus (3)
- Scaling behavior of the absorbing phase transition in a conserved lattice gas around the upper critical dimension
- Scaling behavior of the order parameter and its conjugated field in an absorbing phase transition around the upper critical dimension
- Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping
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