Critical dynamics of the open Ising chain
- 1 October 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (4) , 4527-4528
- https://doi.org/10.1103/physreve.52.4527
Abstract
The one-dimensional ferromagnetic Ising model with open boundary conditions within the Glauber dynamics is studied. From the behavior of the order parameter, the explicit scaling form of the relaxation time is obtained. For finite systems, the dynamical critical exponent is z=1, in contrast to the value of the infinite open chain (z=2).Keywords
This publication has 6 references indexed in Scilit:
- Nonuniversal critical dynamics of the alternating-bond Ising chain: Relaxational and diffusive kineticsPhysical Review B, 1987
- On the critical dynamics of one-dimensional Ising modelsPhysics Letters A, 1986
- Physics of the dynamical critical exponent in one dimensionPhysical Review B, 1981
- Universality classes for one dimensional kinetic Ising modelsZeitschrift für Physik B Condensed Matter, 1980
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977
- Time-Dependent Statistics of the Ising ModelJournal of Mathematical Physics, 1963