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arXiv · hep-lat/9608044

The flat phase of fixed-connectivity membranes

M. J. Bowick·S. Catterall·M. Falcioni·G. Thorleifsson·K. Anagnostopoulos
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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 \cite{BCFTA}. 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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M. J. Bowick, S. Catterall, M. Falcioni, G. Thorleifsson, K. Anagnostopoulos. 1996-08-08. The flat phase of fixed-connectivity membranes. https://doi.org/10.1016/s0920-5632(96)00771-2

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