S Lübeck and A Hucht 2002 J. Phys. A: Math. Gen. 35 4853 doi:10.1088/0305-4470/35/23/304
The mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
S Lübeck1 and A Hucht2
Show affiliationsWe consider two mean-field like models which belong to the universality class of absorbing phase transitions with a conserved field. In both cases we analytically derive the order parameter as a 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 behaviour. 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.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
05.70.Ln Nonequilibrium and irreversible thermodynamics
- MSC
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82C27 Dynamic critical phenomena
82C43 Time-dependent percolation (See also 60K35)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
82C26 Dynamic and nonequilibrium phase transitions (general)
- Subjects
- Dates
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Issue 23 (14 June 2002)
Received 4 March 2002, in final form 22 April 2002
Published 31 May 2002
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The mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
S Lübeck and A Hucht 2002 J. Phys. A: Math. Gen. 35 4853
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