Generalized Zero-Temperature Glauber Dynamics in a Two-Dimensional Square Lattice
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Abstract
A new spin flipping mechanism at zero-temperature is proposed based on a node model. In a two-dimensional square lattice, at the zero-temperature, the spin flipping depends on both itself and the surroundings, while the influence from the surroundings is embodied by an adjustable parameter. With the parameter adjusting, a first order phase transition is observed. -
References
[1] Glauber R J 1963 J. Math. Phys. 4 294 doi: 10.1063/1.1703954 [2] Liggett T M 1985 Interacting Particle Systems (New York: Springer-Verlag) [3] Spirin V, Krapivsky P L and Redner S 2001 Phys. Rev. E 65 016119 [4] Barros K, Krapivsky P L and Redner S 2009 Phys. Rev. E 80 040101(R) [5] Olejarz J, Krapivsky P L and Redner S 2011 Phys. Rev. E 83 051104 [6] Albert R and Barabási A L 2002 Rev. Mod. Phys. 74 47 [7] Dorogovtsev S N, Goltsev A V and Mendes J F F 2008 Rev. Mod. Phys. 80 1275 [8] Herrero C P 2009 J. Phys. A: Math. Theor. 42 415102 [9] Castellano C and Loreto V 2005 Phys. Rev. E 71 066107 [10] Weerasinghe G L, Needs R J and Pickard C J 2011 Phys. Rev. B 84 174110 [11] Casadei M, Ren X, Rinke P, Rubio A and Scheffler M 2012 Phys. Rev. Lett. 109 146402 [12] Fratini E and Pieri P 2012 Phys. Rev. A 85 063618 [13] Osychenko O N, Astrakharchik G E, Mazzanti F and Boronat J 2012 Phys. Rev. A 85 063604 [14] Kalis H, Klagges D, Orús R and Schmidt K P 2012 Phys. Rev. A 86 022317 [15] Shopova D V and Uzunov D I 2003 Phys. Rep. 379 1 [16] Meng Q K 2011 Chin. Phys. Lett. 28 118901 [17] Zhu J Y and Yang Z R 1999 Phys. Rev. E 59 1551 -
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