Mean-field results for the two-component model Export

by: Katarzyna S. Weron

Physical Review E, Vol. 71, No. 4. (Apr 2005), 046110.

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Abstract

In previous papers we have introduced a new dynamical model of Ising spins: the two-component (TC) model. In this paper we formulate a mean-field version of the TC model by putting it on a complete graph. With such an approach we are able to describe the kinetics in terms of a one-dimensional stochastic process with hopping probabilities depending on the magnetization. This allows us to understand the differences in relaxation between phases observed previously in computer simulations for the TC model on the square lattice

@article{citeulike:5249652, abstract = {In previous papers we have introduced a new dynamical model of Ising spins: the two-component (TC) model. In this paper we formulate a mean-field version of the TC model by putting it on a complete graph. With such an approach we are able to describe the kinetics in terms of a one-dimensional stochastic process with hopping probabilities depending on the magnetization. This allows us to understand the differences in relaxation between phases observed previously in computer simulations for the TC model on the square lattice}, author = {Weron, Katarzyna S.}, citeulike-article-id = {5249652}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.71.046110}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v71/i4/e046110}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v71/i4/e046110}, doi = {10.1103/PhysRevE.71.046110}, journal = {Physical Review E}, keywords = {dynamics, opinion, sznajd}, month = {Apr}, number = {4}, pages = {046110+}, posted-at = {2009-07-24 11:15:49}, priority = {0}, publisher = {American Physical Society}, title = {Mean-field results for the two-component model}, url = {http://dx.doi.org/10.1103/PhysRevE.71.046110}, volume = {71}, year = {2005} }

RIS record

TY - JOUR ID - citeulike:5249652 L3 - citeulike-article-id:5249652 N2 - In previous papers we have introduced a new dynamical model of Ising spins: the two-component (TC) model. In this paper we formulate a mean-field version of the TC model by putting it on a complete graph. With such an approach we are able to describe the kinetics in terms of a one-dimensional stochastic process with hopping probabilities depending on the magnetization. This allows us to understand the differences in relaxation between phases observed previously in computer simulations for the TC model on the square lattice IS - 4 JF - Physical Review E TI - Mean-field results for the two-component model PB - American Physical Society VL - 71 SP - 046110 KW - dynamics KW - opinion KW - sznajd AU - Weron, Katarzyna PY - 2005/Apr// UR - http://dx.doi.org/10.1103/PhysRevE.71.046110 ER -

Mean-field results for the two-component model Export

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