One-dimensional random field Ising model and discrete stochastic mappings |
| |
| Authors: | U Behn V A Zagrebnov |
| |
| Institution: | (1) Karl-Marx-Platz, Sektion Physik der Karl-Marx-Universität Leipzig, 7010 Leipzig, German Democratic Republic;(2) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, USSR |
| |
| Abstract: | Previous results relating the one-dimensional random field Ising model to a discrete stochastic mapping are generalized to a two-valued correlated random (Markovian) field and to the case of zero temperature. The fractal dimension of the support of the invariant measure is calculated in a simple approximation and its dependence on the physical parameters is discussed.Contribution to the symposium  Statistical Mechanics of Phase Transitions—Mathematical and Physical Aspects, Trebo , CSSR, September 1–6, 1986. |
| |
| Keywords: | Random field Ising model stochastic mapping Markov chains invariant measure fractal dimension |
| 本文献已被 SpringerLink 等数据库收录！ |
|
