Conformal invariance and its breaking in a stochastic model of a fluctuating interface

Details Conformal invariance and its breaking in a stochastic model of a fluctuating interface Conformal invariance and its breaking in a stochastic model of a fluctuating interface

2006-04-08

arxiv.org/abs/cond-mat/0604223v3

J. Stat. Mech. (2006) P08003

Physics

Condensed Matter

Statistical Mechanics

22 pages and 20 figures

Scientific paper

10.1088/1742-5468/2006/08/P08003

Using Monte-Carlo simulations on large lattices, we study the effects of changing the parameter $u$ (the ratio of the adsorption and desorption rates) of the raise and peel model. This is a nonlocal stochastic model of a fluctuating interface. We show that for $01$ the conformal invariance is broken. The system is in a scale invariant but not conformal invariant phase. As far as we know it is the first example of a system which shows such a behavior. Moreover in the broken phase, the critical exponents vary continuously with the parameter $u$. This stays true also for the critical exponent $\tau$ which characterizes the probability distribution function of avalanches (the critical exponent $D$ staying unchanged).

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