### Abstract

The present state of the theory of volume effects in a polymer chain is reviewed. The theory of coils (i.e., chains with predominately repulsive volume interaction of monomers) and the analogy between the excluded volume problem and the theory of second-order phase transitions are briefly described. The theory of globules, formed by attractive interaction of monomers or by external attractive fields, is considered in greater detail. The coil-globule transition under various conditions is analyzed. A theory is constructed for the simplest model of the polymer chain-the model of "interacting beads on a flexible string." The connection of this model with more realistic ones is discussed. This review is based on the approach proposed by I. M. Lifshitz in 1968. While attention is focused on the physical aspects of the problems, some questions concerning biological applications are discussed in the conclusion.

Original language | English (US) |
---|---|

Pages (from-to) | 683-713 |

Number of pages | 31 |

Journal | Reviews of Modern Physics |

Volume | 50 |

Issue number | 3 |

DOIs | |

State | Published - 1978 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Reviews of Modern Physics*,

*50*(3), 683-713. https://doi.org/10.1103/RevModPhys.50.683

**Some problems of the statistical physics of polymer chains with volume interaction.** / Lifshitz, I. M.; Grosberg, A. Yu; Khokhlov, A. R.

Research output: Contribution to journal › Article

*Reviews of Modern Physics*, vol. 50, no. 3, pp. 683-713. https://doi.org/10.1103/RevModPhys.50.683

}

TY - JOUR

T1 - Some problems of the statistical physics of polymer chains with volume interaction

AU - Lifshitz, I. M.

AU - Grosberg, A. Yu

AU - Khokhlov, A. R.

PY - 1978

Y1 - 1978

N2 - The present state of the theory of volume effects in a polymer chain is reviewed. The theory of coils (i.e., chains with predominately repulsive volume interaction of monomers) and the analogy between the excluded volume problem and the theory of second-order phase transitions are briefly described. The theory of globules, formed by attractive interaction of monomers or by external attractive fields, is considered in greater detail. The coil-globule transition under various conditions is analyzed. A theory is constructed for the simplest model of the polymer chain-the model of "interacting beads on a flexible string." The connection of this model with more realistic ones is discussed. This review is based on the approach proposed by I. M. Lifshitz in 1968. While attention is focused on the physical aspects of the problems, some questions concerning biological applications are discussed in the conclusion.

AB - The present state of the theory of volume effects in a polymer chain is reviewed. The theory of coils (i.e., chains with predominately repulsive volume interaction of monomers) and the analogy between the excluded volume problem and the theory of second-order phase transitions are briefly described. The theory of globules, formed by attractive interaction of monomers or by external attractive fields, is considered in greater detail. The coil-globule transition under various conditions is analyzed. A theory is constructed for the simplest model of the polymer chain-the model of "interacting beads on a flexible string." The connection of this model with more realistic ones is discussed. This review is based on the approach proposed by I. M. Lifshitz in 1968. While attention is focused on the physical aspects of the problems, some questions concerning biological applications are discussed in the conclusion.

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U2 - 10.1103/RevModPhys.50.683

DO - 10.1103/RevModPhys.50.683

M3 - Article

AN - SCOPUS:35949036748

VL - 50

SP - 683

EP - 713

JO - Reviews of Modern Physics

JF - Reviews of Modern Physics

SN - 0034-6861

IS - 3

ER -