Strong Disorder Fixed Point in Absorbing-State Phase Transitions

2002/03/31 by Jef Hooyberghs, Ferenc Iglói, Ferenc Igloi +1 · 5 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.90.100601

published as Phys. Rev. Lett., 90, 100601 (2003) · final version as accepted for PRL, contains new results in two dimensions

arxiv created 2003/02/06 · openalex publication_date 2003/03/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Violation of scaling in the contact process with quenched disorder

Cited by

• Random elastic networks: a strong disorder renormalization approach
• Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Broadening of a nonequilibrium phase transition by extended structural defects
• Partially Asymmetric Exclusion Models with Quenched Disorder
• Monte Carlo simulations of the clean and disordered contact process in three dimensions