Phase transitions and critical behaviour in one-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk of kinks

Details Phase transitions and critical behaviour in one-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk of kinks Phase transitions and critical behaviour in one-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk of kinks

1996-07-12

arxiv.org/abs/cond-mat/9607089v2

J.Phys.A 29 1996 7739

Physics

Condensed Matter

15 pages, using RevTeX, 13 Postscript figures included, submitted to J.Phys.A, figures 12 and 13 fixed

Scientific paper

10.1088/0305-4470/29/23/030

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges exhibiting directed percolation-like parity conserving(PC) phase transition on the level of kinks are now further investigated, numerically, from the point of view of the underlying spin system. Critical exponents characterising its statics and dynamics are reported. It is found that the influence of the PC transition on the critical exponents of the spins is strong and the origin of drastic changes as compared to the Glauber-Ising case can be traced back to the hyperscaling law stemming from directed percolation(DP). Effect of an external magnetic field, leading to DP-type critical behaviour on the level of kinks, is also studied, mainly through the generalised mean field approximation.

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