Time-Dependent Behavior of the Spin-½ Anisotropic Heisenberg Model in Infinite Lattice Dimensions
- 30 April 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 52 (18) , 1579-1582
- https://doi.org/10.1103/physrevlett.52.1579
Abstract
The spin van der Waals model may be regarded as an infinite-lattice-dimensional limit of the spin-½ anisotropic Heisenberg model. By solution of the generalized Langevin equation, time-dependent behavior is obtained. The geometry of realized Hilbert spaces lends a simple interpretation for critical dynamics.Keywords
This publication has 19 references indexed in Scilit:
- Derivation of the generalized Langevin equation by a method of recurrence relationsJournal of Mathematical Physics, 1983
- Critical behavior of the spin van der Waals modelJournal of Mathematical Physics, 1983
- Orthogonalization Process by Recurrence RelationsPhysical Review Letters, 1982
- Solutions of the generalized Langevin equation by a method of recurrence relationsPhysical Review B, 1982
- Size Scaling for Infinitely Coordinated SystemsPhysical Review Letters, 1982
- Long-range order in the spin van der Waals modelJournal of Mathematical Physics, 1982
- Fluctuation and susceptibility for the spin van der Waals model and the bounds of Falk and BruchPhysical Review B, 1981
- Spherical Model as the Limit of Infinite Spin DimensionalityPhysical Review B, 1968
- The fluctuation-dissipation theoremReports on Progress in Physics, 1966
- The Spherical Model of a FerromagnetPhysical Review B, 1952