Strong disorder fixed point in absorbing state phase transitions
Abstract
The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We show that for sufficiently strong disorder the critical behaviour is controlled by a strong disorder fixed point and in one dimension the critical exponents are conjectured to be exact: \beta=(3-\sqrt{5})/2 and \nu_\perp=2. For disorder strengths outside the attractive region of this fixed point, disorder dependent critical exponents are detected. Existing numerical results in two dimensions can be interpreted within a similar scenario.
Cite
@article{arxiv.cond-mat/0203610,
title = {Strong disorder fixed point in absorbing state phase transitions},
author = {Jef Hooyberghs and Ferenc Igloi and Carlo Vanderzande},
journal= {arXiv preprint arXiv:cond-mat/0203610},
year = {2009}
}
Comments
final version as accepted for PRL, contains new results in two dimensions