Freezing transition of random heteropolymers consisting of an arbitrary set of monomers

Vijay S. Pande, Alexander Yu Grosberg, Toyoichi Tanaka

    Research output: Contribution to journalArticle

    Abstract

    Mean field replica theory is employed to analyze the freezing transition of random heteropolymers comprised of an arbitrary number (q) of types of monomers. Our formalism assumes that interactions are short range and heterogeneity comes only from pairwise interactions, which are defined by an arbitrary q×q matrix. We show that, in general, there exists a freezing transition from a random globule, in which the thermodynamic equilibrium is comprised of an essentially infinite number polymer conformations, to a frozen globule, in which equilibrium ensemble is dominated by one or very few conformations. We also examine some special cases of interaction matrices to analyze the relationship between the freezing transition and the nature of the interactions involved.

    Original languageEnglish (US)
    Pages (from-to)3381-3392
    Number of pages12
    JournalPhysical Review E
    Volume51
    Issue number4
    DOIs
    StatePublished - 1995

    Fingerprint

    Freezing
    freezing
    monomers
    globules
    Arbitrary
    Conformation
    Interaction
    interactions
    Thermodynamic Equilibrium
    thermodynamic equilibrium
    matrices
    Replica
    replicas
    Mean Field
    Pairwise
    Ensemble
    Polymers
    formalism
    polymers
    Range of data

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics

    Cite this

    Freezing transition of random heteropolymers consisting of an arbitrary set of monomers. / Pande, Vijay S.; Grosberg, Alexander Yu; Tanaka, Toyoichi.

    In: Physical Review E, Vol. 51, No. 4, 1995, p. 3381-3392.

    Research output: Contribution to journalArticle

    Pande, Vijay S. ; Grosberg, Alexander Yu ; Tanaka, Toyoichi. / Freezing transition of random heteropolymers consisting of an arbitrary set of monomers. In: Physical Review E. 1995 ; Vol. 51, No. 4. pp. 3381-3392.
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