Decrumpling membranes by quantum effects
Theoretische Physik, Freie Universität Berlin - Arnimallee 14, 14195
Accepted: 4 December 2000
The phase diagram of an incompressible fluid membrane subject to quantum and thermal fluctuations is calculated exactly in a large number of dimensions of configuration space. At zero temperature, a crumpling transition is found at a critical bending rigidity . For membranes of fixed lateral size, a crumpling transition occurs at nonzero temperatures in an auxiliary mean field approximation. As the lateral size L of the membrane becomes large, the flat regime shrinks with .
PACS: 87.16.Dg – Membranes, bilayers, and vesicles / 05.30.-d – Quantum statistical mechanics / 68.35.Rh – Phase transitions and critical phenomena
© EDP Sciences, 2001