A monte carlo study of ring polymers in disordered systems

Dilip Gersappe; Monica Olvera De La Cruz

doi:10.1080/08927029408021993

A monte carlo study of ring polymers in disordered systems

Dilip Gersappe, Monica Olvera De La Cruz

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We study the properties of ring polymers in disordered systems using a Monte Carlo algorithm. The algorithm is used to generate a ring on a two dimensional lattice, and the disorder is represented by the random dilution of the lattice. We show how the ring undergoes a cross-over from obeying self avoiding statistics at low concentrations of disorder, to behaving like a branched polymer as the concentration of disorder is increased. We find a scaling behavior to characterize this cross-over phenomenon. We further show how this scaling behavior is also present in another class of problems, namely two dimensional vesicles Subject to a pressure differential.

Original language	English (US)
Pages (from-to)	267-283
Number of pages	17
Journal	Molecular Simulation
Volume	13
Issue number	4-5
DOIs	https://doi.org/10.1080/08927029408021993
State	Published - Oct 1994

Keywords

Ring polymers
disorded systems
scaling

ASJC Scopus subject areas

Chemistry(all)
Information Systems
Modeling and Simulation
Chemical Engineering(all)
Materials Science(all)
Condensed Matter Physics

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10.1080/08927029408021993

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title = "A monte carlo study of ring polymers in disordered systems",

abstract = "We study the properties of ring polymers in disordered systems using a Monte Carlo algorithm. The algorithm is used to generate a ring on a two dimensional lattice, and the disorder is represented by the random dilution of the lattice. We show how the ring undergoes a cross-over from obeying self avoiding statistics at low concentrations of disorder, to behaving like a branched polymer as the concentration of disorder is increased. We find a scaling behavior to characterize this cross-over phenomenon. We further show how this scaling behavior is also present in another class of problems, namely two dimensional vesicles Subject to a pressure differential.",

keywords = "Ring polymers, disorded systems, scaling",

author = "Dilip Gersappe and {De La Cruz}, {Monica Olvera}",

note = "Funding Information: We would like to thank B. Duplantier and J. M. Deutsch for valuable discussions. M. 0. would like to thank the financial support from the Lucille and David Packard Foundation. This was supported in part by NSF grant no DMR 9057764 and by a grant from the National Institutes of Health.",

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doi = "10.1080/08927029408021993",

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AU - De La Cruz, Monica Olvera

N1 - Funding Information: We would like to thank B. Duplantier and J. M. Deutsch for valuable discussions. M. 0. would like to thank the financial support from the Lucille and David Packard Foundation. This was supported in part by NSF grant no DMR 9057764 and by a grant from the National Institutes of Health.

PY - 1994/10

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N2 - We study the properties of ring polymers in disordered systems using a Monte Carlo algorithm. The algorithm is used to generate a ring on a two dimensional lattice, and the disorder is represented by the random dilution of the lattice. We show how the ring undergoes a cross-over from obeying self avoiding statistics at low concentrations of disorder, to behaving like a branched polymer as the concentration of disorder is increased. We find a scaling behavior to characterize this cross-over phenomenon. We further show how this scaling behavior is also present in another class of problems, namely two dimensional vesicles Subject to a pressure differential.

AB - We study the properties of ring polymers in disordered systems using a Monte Carlo algorithm. The algorithm is used to generate a ring on a two dimensional lattice, and the disorder is represented by the random dilution of the lattice. We show how the ring undergoes a cross-over from obeying self avoiding statistics at low concentrations of disorder, to behaving like a branched polymer as the concentration of disorder is increased. We find a scaling behavior to characterize this cross-over phenomenon. We further show how this scaling behavior is also present in another class of problems, namely two dimensional vesicles Subject to a pressure differential.

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A monte carlo study of ring polymers in disordered systems

Abstract

Keywords

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