The distribution function of internal distances of a single polymer chain with excluded volume in two and three dimensions: A Monte Carlo study

Wittkop, Markus and Kreitmeier, Stefan and Göritz, Dietmar (1996) The distribution function of internal distances of a single polymer chain with excluded volume in two and three dimensions: A Monte Carlo study. JOURNAL OF CHEMICAL PHYSICS, 104 (1). pp. 351-358. ISSN 0021-9606, 1089-7690

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Abstract

The probability distribution functions P-s(r) of the distance r between the end points of subchains of a single excluded volume chain in two and three dimensions were studied using the bond-fluctuation model. The index s refers to three principle cases. Case s=0: the subchain is identical to the whole chain. Case s=1: the subchain constitutes one extremity of the whole chain. Case s=2: the subchain belongs to the central part of the whole chain. It is shown that the data can be described by the functions f(s)(x) similar to x(theta s) for small x and f(s)(x) similar to x(kappa s) exp(- D(s)x(delta s)) for large x, x being the scaled distance. All exponents theta(s), kappa(s), and delta(s) were calculated and compared with existing values in the literature. In two dimensions a crossover between theta(s) and kappa(s) was detected whereas in three dimensions theta(s) similar or equal to kappa(s) within statistical errors. (C) 1996 American Institute of Physics.

Item Type: Article
Uncontrolled Keywords: SELF-AVOIDING WALKS; END DISTRIBUTION FUNCTION; VECTOR DISTRIBUTION FUNCTION; BOND FLUCTUATION METHOD; SIMPLE-CUBIC LATTICE; CRITICAL EXPONENTS; BROWNIAN DYNAMICS; DIFFERENT REGIMES; 2 DIMENSIONS; LINEAR-POLYMERS
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Experimental and Applied Physics > Alumni or Retired Professors > Group Dietmar Göritz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Nov 2023 07:25
Last Modified: 15 Nov 2023 07:25
URI: https://pred.uni-regensburg.de/id/eprint/52052

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