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Boltzmann equation approach to polymer statistics

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  • Hess, Siegfried

Abstract

The Boltzmann equation for the polymer problem is formulated; some of its properties and general consequences are discussed. The moment solution procedure is used for the case analogous to the dilute Lorentzian gas. With the direction of the first chain segment specified, the chain length dependence of some observables is calculated from the moment equations. The observables studied are: segment anisotropies, the end-to-end displacement vector and the mean square distance as well as the quadrupole moment tensor which characterizes its anisotropy. The generalizations to more complicated situations involving bond directional correlations and excluded volume effects are indicated.

Suggested Citation

  • Hess, Siegfried, 1982. "Boltzmann equation approach to polymer statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 287-302.
  • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:287-302
    DOI: 10.1016/0378-4371(82)90220-5
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