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Collapse of Randomly Self-Interacting Polymers

1994/07/01 by Yacov Kantor, Mehran Kardar · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Protein Structure and Dynamics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1209/0295-5075/28/3/003

published as Europhysics Letters 28, 169-174 (1994) · 8 pages, TeX, 4 uuencoded postscript figures, MIT-CMT-2

arxiv created 1994/07/01 · openalex publication_date 1994/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We use complete enumeration and Monte Carlo techniques to study self-avoiding walks with random nearest-neighbor interactions described by v 0 q i q j , where q i = ± 1 is a quenched sequence of "charges" on the chain. For equal numbers of positive and negative charges ( N + = N - ), the polymer with v 0 > 0 undergoes a transition from self-avoiding behavior to a compact state at a temperature θ ≈ 1.2 v 0 . The collapse temperature θ( x ) decreases with the asymmetry x = | N + - N - |/( N + + N - ) and vanishes at x ≈ 0.6. For v 0 < 0, a θ-point is present at all x .

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