title: Homogeneous and inhomogeneous phase transitions in the Blume-Capel model with random bonds.
abstract: Using mean field approximation, we investigate the Blume-Capel model with random bond. The system is self-organized into blocks, which behave like superspins and are coupled with their neighbors. The methods to search the elementary blocks and calculate their coupling are proposed. For the strongly disordered case, the coupling distribution is exponential and the phase transition should be inhomogeneous. This physical picture should be common in various phase transition in quenched disordered systems.
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: X T
authors.initials: XT
authors.lastname: Wu