The effect of quenched disorder on nonequilibrium 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 behavior 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( perpendicular )=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.
Strong disorder fixed point in absorbing-state phase transitions.
J. Hooyberghs,F. Iglói,C. Vanderzande
Published 2002 in Physical Review Letters
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- Publication year
2002
- Venue
Physical Review Letters
- Publication date
2002-03-29
- Fields of study
Medicine, Physics
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Semantic Scholar, PubMed
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