Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
S. Lubeck, A. Hucht
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.
Create a lesson
Related papers
Real-Space renormalization for the drawups and drawdowns of stochastic trajectories: universality classes for diffusion processes and random walks via the scale function
Cecile Monthus
Stochastic synthesis and degradation of arbitrary diffusive processes
Denis Boyer, Gabriel Mercado-Vásquez
Critical amplitudes of the Baxter-Wu model from MCPA and Wolff simulations: free-exponent and fixed-exponent fits
Vyacheslav Mozolenko, Ian Pile, Lev Shchur
Capillary Coarsening Drives Re-entrant Statistical Transitions in Early Coffee-Ring Growth
Arundas Chandradasan, Dileep Mampallil
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo