摘要A lattice gas model for the A2+B2 → AB reaction system was studied by Monte Carlo simulation in a two-dimensional triangular lattice surface [Phys. Rev. E 69(2004)046114]. In the model, a reactive window appears and the system exhibits a continuous phase transition to an `A+vacancy' covered state with infinitely many absorbing states. The critical behaviour was shown to belong to the robust directed percolation (DP) universality class. In this study, we find that as the particle A diffusion is considered, the infinitely many absorbing states for the continuous phase transition change into only two: one is that in which all sites are occupied by particle A and the other is that in which there is only one vacant site and other sites are occupied by particle A. Furthermore, a parity conserving character appears in the system when the particle A diffusion is included. It is found that the critical behaviour of the continuous phase transition changes from the DP class into the pair contact process with diffusion model (PCPD) class and the parity conserving character has no influence on the critical behaviour in the model.
Abstract:A lattice gas model for the A2+B2 → AB reaction system was studied by Monte Carlo simulation in a two-dimensional triangular lattice surface [Phys. Rev. E 69(2004)046114]. In the model, a reactive window appears and the system exhibits a continuous phase transition to an `A+vacancy' covered state with infinitely many absorbing states. The critical behaviour was shown to belong to the robust directed percolation (DP) universality class. In this study, we find that as the particle A diffusion is considered, the infinitely many absorbing states for the continuous phase transition change into only two: one is that in which all sites are occupied by particle A and the other is that in which there is only one vacant site and other sites are occupied by particle A. Furthermore, a parity conserving character appears in the system when the particle A diffusion is included. It is found that the critical behaviour of the continuous phase transition changes from the DP class into the pair contact process with diffusion model (PCPD) class and the parity conserving character has no influence on the critical behaviour in the model.
[1] Marro J and Dickman R 1999 Non-Equilibrium PhaseTransitions in Lattice Models(Cambridge: Cambridge University Press) [2] Hinrichsen H 2000 Adv. Phys. 49 815 [3] Odor G 2004 Rev. Mod. Phys. 76 663 [4] Hua D Y and Ma Y Q 2002 Chin. Phys. Lett. 19 534 [5] Dickman R 1989 Phys. Rev. B 40 7005 [6] Carlon E, Henkel M, and Schollwock U 2001 Phys. Rev. E 63 036101 [7] Odor G 2000 Phys. Rev. E 62 R3027; 2001 Phys. Rev. E 63 067104; 2002 Phys. Rev. E 65 026121 [8] Odor G, Marques M C and Santos M A 2002 cond-matt/0201208 [9] Odor G 2003 Phys. Rev. E 67 016111 [10] Howard M J and Tauber U C 1997 J. Phys. A 30 7721 [11] Hinrichsen H 2001 Phys. Rev. E 63 036102 [12] Park K, Hinrichsen H, and Kim I 2001 Phys. Rev. E 63 065103(R) [13] Dickman R and de Menezes M A F 2001 Phys. Rev. E 66 045101(R) [14] Noh J D and Park H 2004 Phys. Rev. E 69 016122 [15] Hua D Y 2004 Phys. Rev. E 70 066101 [16] Hua D Y, Wang L Y and Chen T 2006 J. Phys. A: Math. Gen. 39 9671 [17] Kwon S and Kim Y 2007 Phys. Rev. E 75 042103 [18] Henkel M and Hinrichsen H 2004 J. Phys. A 37R117-R159 [19] Jensen I 1993 Phys. Rev. Lett. 70 1465 [20] Hua D Y, Shao S J and Lin Su 2004 Phys. Rev. E 69 046114 [21] Dickman R 1986 Phys. Rev. A 34 4246 [22] Odor G and Menyhard N 2006 Phys. Rev. E 73036130