On kinetic Ising models in one dimension
- 7 February 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (3) , 763-768
- https://doi.org/10.1088/0305-4470/21/3/031
Abstract
It is shown that Glauber dynamics in 1D Ising spin systems is not universal. This is illustrated on a periodic model with a basic unit cell (J1,. . ., Jn) containing an arbitrary set of n ferromagnetic coupling constants. The dynamic critical exponent z is calculated exactly as z=1+max(Ji)/min(Ji), the known value z=2 is recovered only for n=1. The extension of this result to other types of dynamics is briefly discussed.Keywords
This publication has 11 references indexed in Scilit:
- On the critical dynamics of one-dimensional Ising modelsPhysics Letters A, 1986
- Critical Ising Spin Dynamics on Percolation ClustersPhysical Review Letters, 1985
- Spin dynamics and glassy relaxation on fractals and percolation structuresJournal de Physique, 1985
- 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
- Kinetics of an alternating copolymer modelPhysical Review A, 1979
- Solvable real space renormalization group for the kinetic Ising chainZeitschrift für Physik B Condensed Matter, 1978
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977
- Diffusion Constants near the Critical Point for Time-Dependent Ising Models. IPhysical Review B, 1966
- Time-Dependent Statistics of the Ising ModelJournal of Mathematical Physics, 1963