2010/11/14 by Zvi Miller, Nadav M. Shnerb, Miller, Zvi +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #FOS: Biological sciences #FOS: Physical sciences #Force Microscopy Techniques and Applications #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1011.3254
arxiv created 2010/11/14 · openalex publication_date 2010/11/14 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The extinction transition in the presence of a localized quenched defect is studied numerically. When the bulk is at criticality, the correlation length diverges and even an infinite system cannot "decouple" from the defect. The results presented here suggest that, in 1+1 dimensions, the critical exponent δ that controls the asymptotic power-law decay depends on the strength of the local perturbation. On the other hand, the exponent was found to be independent of the local arrangement of the defect. In higher dimensions the defect seems to induce a transient behavior that decays algebraically in time.