Excluded-volume interactions in tethered membranes

Yacov Kantor*, Kurt Kremer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The Monte Carlo method is applied to investigate the asymptotic behavior of self-avoiding polymerized membranes. We use a model described by a local Hamiltonian: repulsive interactions (hard spheres of diameter σ) act only between atoms whose degree of neighborhood (measured along the membrane) does not exceed a certain value l. For a particular value σ=σc(l) the membrane undergoes a crumpling transition between asymptotically flat and crumpled states. We find that when l increases, σc(l) decays to zero, and conclude that self-avoiding surfaces with purely repulsive interactions are asymptotically flat even for very small values of σ.

Original languageEnglish
Pages (from-to)2490-2497
Number of pages8
JournalPhysical Review E
Issue number4
StatePublished - 1993


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