### 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 language | English (US) |
---|---|

Pages (from-to) | 149-160 |

Number of pages | 12 |

Journal | Journal of Statistical Physics |

Volume | 38 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 1985 |

### Fingerprint

### Keywords

- heteropolymers
- one-dimensional disordered systems
- Polymer collapse

### ASJC Scopus subject areas

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

### Cite this

*Journal of Statistical Physics*,

*38*(1-2), 149-160. https://doi.org/10.1007/BF01017854

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

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 38, no. 1-2, pp. 149-160. https://doi.org/10.1007/BF01017854

}

TY - JOUR

T1 - On the theory of the condensed states of heteropolymers

AU - Grosberg, A. Yu

PY - 1985/1

Y1 - 1985/1

N2 - 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.

AB - 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.

KW - heteropolymers

KW - one-dimensional disordered systems

KW - Polymer collapse

UR - http://www.scopus.com/inward/record.url?scp=0002153177&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002153177&partnerID=8YFLogxK

U2 - 10.1007/BF01017854

DO - 10.1007/BF01017854

M3 - Article

VL - 38

SP - 149

EP - 160

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -