On the theory of the condensed states of heteropolymers

A. Yu Grosberg

    Research output: Contribution to journalArticle

    Abstract

    The collapse (globulization) of an ideal heteropolymer chain under the action of an external attractive field is considered. The problem of the collapse of different types of primary structures, including mobile, periodic, large-block, and statistical structures, is formulated. It is shown that for a random heteropolymer, the mathematical image of the globular state is the chain-length independence of the probability distribution of a random thermal distribution function of the end monomer coordinates. The free energy per monomer of a chain in a globular state and local densities of monomers of all types are shown to be a self-averaging quantities. An exactly solvable model is proposed for a globule formed by a statistical heteropolymer chain. In this model, different types of monomers are attracted to different centers by linear elastic forces with identical elastic constants. The modulus of elasticity is obtained for a heteropolymer globule with respect to the attraction of different types of monomers in different directions. It is shown that this modulus is higher for a short-periodic polymer than for a statistical one.

    Original languageEnglish (US)
    Pages (from-to)149-160
    Number of pages12
    JournalJournal of Statistical Physics
    Volume38
    Issue number1-2
    DOIs
    StatePublished - Jan 1985

    Fingerprint

    monomers
    globules
    Modulus of elasticity
    Exactly Solvable Models
    Elastic Constants
    External Field
    Averaging
    Free Energy
    Modulus
    Distribution Function
    Probability Distribution
    Polymers
    attraction
    modulus of elasticity
    elastic properties
    distribution functions
    free energy
    polymers
    Model

    Keywords

    • heteropolymers
    • one-dimensional disordered systems
    • Polymer collapse

    ASJC Scopus subject areas

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

    Cite this

    On the theory of the condensed states of heteropolymers. / Grosberg, A. Yu.

    In: Journal of Statistical Physics, Vol. 38, No. 1-2, 01.1985, p. 149-160.

    Research output: Contribution to journalArticle

    Grosberg, A. Yu. / On the theory of the condensed states of heteropolymers. In: Journal of Statistical Physics. 1985 ; Vol. 38, No. 1-2. pp. 149-160.
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