Based on Glaubers theory, a single spin transition critical dynamics is presented. The distinguishing features of this theory are that it is suitable for arbitrary spin systems, the transition probability can be determined by a universal expression and the indefinite constant in Glaubers theory is eliminated.
The one dimensional diffusion-limited reversible coalescence process with particle input is investigated by using interval method, the steady state and the transition behavior of cluster concentration are derived, and the relation between cluster concentration, diffussion coefficient, fragmentation coefficient and injection rate is obtained. Based on the method, the probability distribution of cluster’s occurence can be attained, and when v=0 the scale relation about relaxion time is T∝k -δ,δ=2/3.
