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arXiv · 1402.0426

First order phase transitions in polymerized phantom membranes

K. Essafi·J. -P. Kownacki·D. Mouhanna
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Abstract

The crumpled-to-flat phase transition that occurs in D-dimensional polymerized phantom membranes embedded in a d-dimensional space is investigated nonperturbatively using a field expansion up to order eight in powers of the order parameter. We get the critical dimension dcr(D) that separates a second order region from a first order one everywhere between D=4 and D=2. Our approach strongly suggests that the phase transitions that take place in physical membranes are of first order in agreement with most recent numerical simulations.

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K. Essafi, J. -P. Kownacki, D. Mouhanna. 2014-02-03. First order phase transitions in polymerized phantom membranes. https://doi.org/10.1103/physreve.89.042101

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