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Landau Theory of the Crumpling Transition

1988; American Physical Society; Volume: 60; Issue: 25 Linguagem: Inglês

10.1103/physrevlett.60.2638

1092-0145

Maya Paczuski, Mehran Kardar, David R. Nelson,

Force Microscopy Techniques and Applications

An order-parameter theory of the crumpling transition in $D$-dimensional polymerized membranes embedded in $d$ dimensions is developed. Within mean-field theory, we show how self-avoidance modifies the behavior at the second-order crumpling transition. Fluctuations drive the transition first order to lowest order in $\ensuremath{\epsilon}=4\ensuremath{-}D$, for $d<{d}_{c}\ensuremath{\approx}219$.