### Abstract

In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this paper (the second in this series) the macromolecule properties determined by the pair density-density correlation function are considered. This function for a polymer globule is calculated in the framework of mean-field Lifshitz's theory. Using the correlation function, the hydrodynamic radius of a macromolecule is found in the Kirkwood approximation. The value of fluctuations of the macromolecule radius of gyration is calculated in the region of the globule-to-coil transition, which is connected with a sharp change in the fluctuational regime. The existence of a maximum of fluctuations in the transition region is shown.

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

Pages (from-to) | 1980-1990 |

Number of pages | 11 |

Journal | Macromolecules |

Volume | 25 |

Issue number | 7 |

State | Published - 1992 |

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### ASJC Scopus subject areas

- Materials Chemistry

### Cite this

*Macromolecules*,

*25*(7), 1980-1990.

**Quantitative theory of the globule-to-coil transition. 2. Density-density correlation in a globule and the hydrodynamic radius of a macromolecule.** / Grosberg, A. Yu; Kuznetsov, D. V.

Research output: Contribution to journal › Article

*Macromolecules*, vol. 25, no. 7, pp. 1980-1990.

}

TY - JOUR

T1 - Quantitative theory of the globule-to-coil transition. 2. Density-density correlation in a globule and the hydrodynamic radius of a macromolecule

AU - Grosberg, A. Yu

AU - Kuznetsov, D. V.

PY - 1992

Y1 - 1992

N2 - In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this paper (the second in this series) the macromolecule properties determined by the pair density-density correlation function are considered. This function for a polymer globule is calculated in the framework of mean-field Lifshitz's theory. Using the correlation function, the hydrodynamic radius of a macromolecule is found in the Kirkwood approximation. The value of fluctuations of the macromolecule radius of gyration is calculated in the region of the globule-to-coil transition, which is connected with a sharp change in the fluctuational regime. The existence of a maximum of fluctuations in the transition region is shown.

AB - In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this paper (the second in this series) the macromolecule properties determined by the pair density-density correlation function are considered. This function for a polymer globule is calculated in the framework of mean-field Lifshitz's theory. Using the correlation function, the hydrodynamic radius of a macromolecule is found in the Kirkwood approximation. The value of fluctuations of the macromolecule radius of gyration is calculated in the region of the globule-to-coil transition, which is connected with a sharp change in the fluctuational regime. The existence of a maximum of fluctuations in the transition region is shown.

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M3 - Article

VL - 25

SP - 1980

EP - 1990

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 7

ER -