Avoided Critical Behaviour in O(n) systems and Polytope Actions

Zohar Nussinov, Joseph Rudnick, Steven Allan Kivelson +1 more

Stefan Bornholdt, Buettner, P. (Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik), N. Tetradis +2 more

The critical behaviour of a system of two coupled scalar fields in three dimensions is studied within the formalism of the effective average action. The fixed points of the system are identified and the crossover between them is described in detail. Besides the universal critical behaviour, the flow of the coarse grained free energy also describes the approach to scaling. (orig.)

Uwe Claus Täuber, J.E. Santos, Zoltàn Ràcz

Bernard Nienhuis

Damien Paul Foster

The surface critical behaviour of the interacting self-avoiding trail is examined using transfer matrix methods coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points along the collapse transition line. The phase diagram is also presented.

Masanori Ohya