The phase diagram of fluid random surfaces with extrinsic curvature

1992/09/18 by Mark Bowick, Mark J. Bowick, Paul Coddington +4 · 51 citations
Materials Science · Mathematics · Physics and Astronomy · #Computer science #Crossover #Curvature #Geometry #Mathematics #Measure (data warehouse) #Observable #Phase (matter) #Phase diagram #Physics #Pickering emulsions and particle stabilization #Scaling #Space (punctuation) #Statistical physics #Stochastic processes and statistical mechanics #Surface (topology) #Theoretical and Computational Physics #hep-lat #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90230-m

published in Nuclear Physics B 394(3), 791-821 (Elsevier BV) · 29 pages. There are also 19 figures available from the authors but not included here - sorry

arxiv created 1992/09/18 · openalex publication_date 1993/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present the results of a large-scale simulation of a Dynamically Triangulated Random Surface with extrinsic curvature embedded in three-dimensional flat space. We measure a variety of local observables and use a finite size scaling analysis to characterize as much as possible the regime of crossover from crumpled to smooth surfaces.

Citations

• Recent progress in the theory of noncritical strings
• Simulated Tempering: A New Monte Carlo Scheme
• FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY
• Quantum geometry of bosonic strings

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