Journal ArticleDOI
White noise path integral treatment of the probability distribution for the area enclosed by a polymer loop in crossed electric-magnetic fields
Beverly V. Gemao,Jinky Bornales +1 more
- Vol. 17, pp 77-82
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TLDR
In this paper, the probability density for the area A enclosed by a polymer loop in crossed electric-magnetic fields is evaluated using the Hida-Streit formulation, where the many possible conformations of the polymer, x(v) and y(v), are represented by paths and parametrized in terms Brownian motion.Abstract:
The probability density for the area A enclosed by a polymer loop in crossed electric-magnetic fields is evaluated using the Hida-Streit formulation. In this approach, the many possible conformations of the polymer, x(v) and y(v), are represented by paths and are parametrized in terms Brownian motion. When the magnetic field is switched off, results agree with the works of Khandekar and Wiegel5read more
References
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Statistical mechanics with topological constraints: I
TL;DR: In this paper, the entropy of very long flexible molecules in the presence of topological constraints is studied, and a formula deduced which needs the probability that a random walk will have a particular topological specification.
Journal ArticleDOI
Statistical Mechanics of a Simple Entanglement
Stephen Prager,Harry L. Frisch +1 more
TL;DR: In this article, it was shown that the statistical mechanics of an entanglement produced by looping a polymer chain around an infinitely long straight bar can be treated exactly, essentially because successive turns of the chain around the bar could be considered as constituting a Markoff process.
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A topological problem in polymer physics: configurational and mechanical properties of a random walk enclosing a constant are
M G Brereton,Clare Butler +1 more
TL;DR: In this article, a random walk in a plane, constrained to enclose a given area, can be used to approximately represent the properties of an entangled polymer molecule, and the statistical mechanical properties of the loop are calculated exactly and the distribution function for the enclosed areas is found.
Journal ArticleDOI
Applications of white noise calculus to the computation of Feynman integrals
TL;DR: In this paper, the Feynman propagator in a uniform magnetic field can be explicitly computed in terms of P. Levy's stochastic area spanned by two-dimensional Brownian motion.
Journal ArticleDOI
Entanglement probabilities of polymers: a white noise functional approach
TL;DR: In this paper, the entanglement probabilities for a highly flexible polymer to wind n times around a straight polymer were evaluated using white noise analysis using the one-dimensional random walk problem.
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