### Abstract

The mean dimensions of multichain polymer systems are predicted to follow a scaling relation with scaling variable X=l^{dv-1} ρ, where l is the number of statistical segments on the chain, ρ is the segment density, d is the dimension, and v is the critical exponent for the mean dimensions of an isolated polymer chain. The scaling laws are 〈R^{2}〉≈A(X) l^{2v} for l→∞ with X bounded, and 〈R ^{2}〉≈B(ρ)l for l→_{∞} with X→_{∞}. Moreover, the critical amplitudes behave as A(X)∼X^{-(2v-1)/(dv-1)} as X→_{∞} and B(ρ)∼ρ^{-(2v-1)/(dv-1)} as ρ→0. Simulations of both continuum and lattice systems are reanalyzed and found to be consistent with these scaling relations. Previous naive use of short-chain data has led to misleading results.

Original language | English (US) |
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Pages (from-to) | 3496-3499 |

Number of pages | 4 |

Journal | The Journal of Chemical Physics |

Volume | 79 |

Issue number | 7 |

DOIs | |

State | Published - Jan 1 1983 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*The Journal of Chemical Physics*,

*79*(7), 3496-3499. https://doi.org/10.1063/1.446201