ISSN:
1434-6036
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We employ high-temperature series to investigate a two-parameter class of renormalization group transformations for the two-dimensional Ising model on the triangular lattice. For the static case we identify an optimal organization of the high-temperature expansion and an optimal transformation matrix and thus find, in second order, ν=0.96 and the magnetic eigenvaluey=2-η/2=1.76. From recursion relations for flip rates we find the dynamic exponent to be the same for all transformations in our two-parameter class,z=2.32. Our fixed-point flip rates do not describe a Markov process even though the corresponding master equation for the single-event probability displays no explicit memory effects. The non-Markovian nature shows up only in a violation of the Markovian detailed balance conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01485831
