First-order phase transitions in polymerized phantom membranes.
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 8 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 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.
Okinawa Institute of Science and Technology, 1919-1 Tancha, Onna-Son, Okinawa 904-0495, Japan and Sorbonne Universités, University Pierre et Marie Curie, Laboratoire de Physique Théorique de la Matière Condensée, Centre National de la Recherche Scientifique, unité mixte de recherche 7600, F-75005 Paris, France.
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Essafi
Laboratoire de Physique Théorique et Modélisation, Centre National de la Recherche Scientifique, unité mixte de recherche 8089, Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France.
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JP
Kownacki
Sorbonne Universités, University Pierre et Marie Curie, Laboratoire de Physique Théorique de la Matière Condensée, Centre National de la Recherche Scientifique, unité mixte de recherche 7600, F-75005 Paris, France.
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Mouhanna