### Abstract

Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: I) N?8 at fixed temperature T, and II) N?8, T?T _{?} with x=N ^{?} (T?T _{?}) fixed, where ? is a suitable crossover exponent. I argue that the modern two-parameters theory (continuum Edwards model) applies to case II–not case I–and in fact gives exactly the crossover scaling functions for x? 0 modulo two nonuniversal scale factors. A Wilson-type renormalization group clarifies the connection between crossover scaling functions and continuum field theories.

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

Pages (from-to) | 661-666 |

Number of pages | 6 |

Journal | EPL |

Volume | 27 |

Issue number | 9 |

DOIs | |

State | Published - Sep 20 1994 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*EPL*,

*27*(9), 661-666. https://doi.org/10.1209/0295-5075/27/9/005

**Static scaling behavior of high-molecular-weight polymers in dilute solution : A reexamination.** / Sokal, A. D.

Research output: Contribution to journal › Article

*EPL*, vol. 27, no. 9, pp. 661-666. https://doi.org/10.1209/0295-5075/27/9/005

}

TY - JOUR

T1 - Static scaling behavior of high-molecular-weight polymers in dilute solution

T2 - A reexamination

AU - Sokal, A. D.

PY - 1994/9/20

Y1 - 1994/9/20

N2 - Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: I) N?8 at fixed temperature T, and II) N?8, T?T ? with x=N ? (T?T ?) fixed, where ? is a suitable crossover exponent. I argue that the modern two-parameters theory (continuum Edwards model) applies to case II–not case I–and in fact gives exactly the crossover scaling functions for x? 0 modulo two nonuniversal scale factors. A Wilson-type renormalization group clarifies the connection between crossover scaling functions and continuum field theories.

AB - Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: I) N?8 at fixed temperature T, and II) N?8, T?T ? with x=N ? (T?T ?) fixed, where ? is a suitable crossover exponent. I argue that the modern two-parameters theory (continuum Edwards model) applies to case II–not case I–and in fact gives exactly the crossover scaling functions for x? 0 modulo two nonuniversal scale factors. A Wilson-type renormalization group clarifies the connection between crossover scaling functions and continuum field theories.

UR - http://www.scopus.com/inward/record.url?scp=84914789483&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84914789483&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/27/9/005

DO - 10.1209/0295-5075/27/9/005

M3 - Article

VL - 27

SP - 661

EP - 666

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 9

ER -