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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1992 The American Physical Society
- ISSN
- 1095-3795
- DOI
- 10.1103/PhysRevB.46.11578
- Publisher site
- See Article on Publisher Site
Abstract
In this work we study the Glauber dynamics of the one-dimensional Ising model with nearest-neighbor and next-nearest-neighbor interactions, for which an approximate solution of the magnetization per site is obtained. When the dynamical critical exponent z is investigated following the treatment of Cordery, Sarker, and Tobochnik Phys. Rev. B 24 , 5402 (1981), our observation shows that its upper-bound value is the same as the known value, thus implying that z is independent of the range of the interaction. We also suggest a high-temperature expansion approximation which is then used to solve the two-dimensional Glauber dynamics governed by a master equation; this solution is compared with that of the decoupling method. The time-delayed correlation function is also calculated.
Journal
Physical Review B – American Physical Society (APS)
Published: Nov 1, 1992