Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-10-19
Journal of Statistical Mechanics: Theory and Experiment (October 2010) P10019
Physics
Condensed Matter
Statistical Mechanics
17 pages
Scientific paper
10.1088/1742-5468/2010/10/P10019
An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method, it is shown that there are cases where the system exhibits a dynamical phase transition. There may be two phases, the fast phase and the slow phase. For some region of the parameter space, the relaxation time is independent of the reaction rates at the boundaries. Changing continuously the reaction rates at the boundaries, however, there is a point where the relaxation times begins changing, as a continuous (nonconstant) function of the reaction rates at the boundaries, so that at this point there is a jump in the derivative of the relaxation time with respect to the reaction rates at the boundaries.
Aghamohammadi Amir
Khorrami Mohammad
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