Abstract
Recently, it .was presented that the critical singularity of the linear and nonlinear relaxation time may be different in the kinetic Ising model by using the mean :field approximation (MFA) Y Both critical singularities have been asserted to be identical in ergodic systems so far by an intuitive expectation. 2> In this letter, as a further example we consider the kinetic Ising modeP> on a Bethe lattice. Such a condition makes the high-temperature-expansion method4> simple, and furthermore the equilibrium properties are well understood ;5> a=O, 13=1/2, r=1, for usual critical indices. It will be desirable for our purpose to use the large coordination number z. In our case we set z=6. From now on we adopt the same notations as in Ref. 4) except that -r=1, m=l. Thus we write the master equation as
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