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The formation of vortex loops (strings) in continuous phase transitions
Mark Bowick, Angelo Cacciuto, Alex Travesset
The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find t…
Universality Classes of Self-Avoiding Fixed-Connectivity Membranes
Mark J. Bowick, Angelo Cacciuto, Gudmar Thorleifsson +1
We present an analysis of extensive large-scale Monte Carlo simulations of self-avoiding fixed-connectivity membranes for sizes (number of faces) ranging from 512 to 17672 (triangu…
The Renormalization Group and its Finite Lattice Approximations
A. Cacciuto, E. B. Gregory, A. Travesset
We investigate finite lattice approximations to the Wilson Renormalization Group in models of unconstrained spins. We discuss first the properties of the Renormalization Group Tran…