The Conformation of Fluid Membranes: Monte Carlo Simulations

Abstract

The conformation and scaling properties of self-avoiding fluid membranes with an extrinsic bending rigidity K were studied with the use of Monte Carlo methods. For K = 0, the results are consistent with branched polymer behavior at large length scales. There is a smooth crossover from a crumpled to an extended state with increasing K, with a peak in the specific heat when the persistence length reaches the system size. The scale-dependent effective bending rigidity is a decreasing function of system size for all bare rigidities. These results indicate that fluid membranes are always crumpled at sufficiently long length scales.

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Document Details

Document Type
Technical Report
Publication Date
Feb 21, 1992
Accession Number
ADA271695

Entities

People

  • D. M. Kroll
  • G. Gompper

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Approximation (Mathematics)
  • Boundaries
  • Crystal Lattices
  • Curvature
  • Data Science
  • Energy
  • Heat Energy
  • Membrane Lipids
  • Membranes
  • Monte Carlo Method
  • Phase Transformations
  • Rigidity
  • Simulations
  • Specific Heat
  • Transitions

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematics or Statistics
  • Structural Dynamics.