The flat phase of fixed-connectivity membranes

M. J. Bowick; S. M. Catterall; M. Falcioni; G. Thorleifsson; K. Anagnostopoulos

doi:10.1016/S0920-5632(96)00771-2

The flat phase of fixed-connectivity membranes

M. J. Bowick, S. M. Catterall, M. Falcioni, G. Thorleifsson, K. Anagnostopoulos

Department of Physics

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

29 Scopus citations

Abstract

The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connectivity surfaces. We first review the current theoretical understanding of the remarkable flat phase of such membranes. We then summarize the results of a recent large scale Monte Carlo simulation of the simplest conceivable discrete realization of this system [1]. We verify the existence of long-range order, determine the associated critical exponents of the flat phase and compare the results to the predictions of various theoretical models.

Original language	English (US)
Pages (from-to)	746-752
Number of pages	7
Journal	Nuclear Physics B - Proceedings Supplements
Volume	53
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(96)00771-2
State	Published - Feb 1997

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(96)00771-2

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abstract = "The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connectivity surfaces. We first review the current theoretical understanding of the remarkable flat phase of such membranes. We then summarize the results of a recent large scale Monte Carlo simulation of the simplest conceivable discrete realization of this system [1]. We verify the existence of long-range order, determine the associated critical exponents of the flat phase and compare the results to the predictions of various theoretical models.",

author = "Bowick, {M. J.} and Catterall, {S. M.} and M. Falcioni and G. Thorleifsson and K. Anagnostopoulos",

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AU - Falcioni, M.

AU - Thorleifsson, G.

AU - Anagnostopoulos, K.

N1 - Funding Information: We wouldl ike to thankD avidN elson,M ehran Kardar, EmmanueGl uitter, Alan Middleton, Paul Coddington,E nzo Marinari and Gerard Jungmanfo r helpfuld iscussionsN. PAC (North-East ParallelA rchitecturCe enter)h as provided the computationafal cilities. The researcho f MB and MF was supportedb y the Department of EnergyU .S.A. underc ontracNt o. DE-FG02-85ER40237.S C and GT weres upportedb y re-searchf undsfrom SyracuseU niversity.P art of the work of KA was done at the Institutef or FundamentTahl eorya t Gainesvillea ndw ass up-portedb y DOE grantN o. DE-FG05-86ER-40272. We alsoa cknowledgthee u seo f thes oftwarep ack-age Geomviewfo r membranvei sualisationa nd coded evelopmen\[t2 1\].

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AB - The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connectivity surfaces. We first review the current theoretical understanding of the remarkable flat phase of such membranes. We then summarize the results of a recent large scale Monte Carlo simulation of the simplest conceivable discrete realization of this system [1]. We verify the existence of long-range order, determine the associated critical exponents of the flat phase and compare the results to the predictions of various theoretical models.

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The flat phase of fixed-connectivity membranes

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