Phase separation of the Potts model in the square lattice
- 50 Downloads
When the two dimensional q-color Potts model in the square lattice is quenched at zero temperature with Glauber dynamics, the energy decreases in time following an Allen-Cahn power law, and the system converges to a phase with energy higher than the ground state energy after an arbitrary large time when q>4. At low but finite temperature, it cesses to obey the power-law regime and orders after a very long time, which increases with q, and before which it performs a domain growth process which tends to be slower as q increases. We briefly present and comment numerical results on the ordering at nonzero temperature.
KeywordsEUROPEAN Physical Journal Special Topic Ground State Energy Ginzburg Landau Equation Nonzero Temperature Glauber Dynamic
Unable to display preview. Download preview PDF.
- I.M. Lifshitz, Zh. Eksp. Teor. Fiz. 42 (1962); Sov. Phys. JEPT 15, 939 (1962) Google Scholar
- J.D. Gunton, M. San Miguel, P. Sahni, Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 1983) 8, 267 and references therein Google Scholar
- See references 18–26 of Grest88 Google Scholar
- M. Ibáñez de Berganza, V. Loreto, A. Petri, Philosophical Magazine, Special Issue: “X International Workshop on Disordered Systems” (2006) (preprint) cond-mat/0606282 Google Scholar
- See references 1–17 of Grest88 Google Scholar
- M. Ibáñez de Berganza, E. Ferrero, S. Cannas, V. Loreto, A. Petri, “Slow dynamics of the Potts ferromagnet at low temperature” (to be published) Google Scholar
- R.J. Baxter, J. Phys. C 6, L445 (1973) Google Scholar
- C. Godrèche, J.M. Luck, J. Phys.: Condens. Matter 17, S2573 (2005) and references therein Google Scholar