Finite size scaling in the thin film limit

The \ Linear " Limit of Thin Film Flowsas

Finite Size Scaling

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared divergences and cannot directly determine the transition temperature in the thermodynamic limit. However, in conjunction with finite size scaling, perturbation th...

Finite-Size Scaling in Percolation

This work is a detailed study of the phase transition in percolation, in particular of the question of finite-size scaling: Namely, how does the critical transition behavior emerge from the behavior of large, finite systems? Our results rigorously locate the proper window in which to do critical computation and establish features of the phase transition. This work is a finite-dimensional analog...

Corrections to Finite - Size Scaling in the

We compute the corrections to nite-size scaling for the N-vector model on the square lattice in the large-N limit. We nd that corrections behave as log L=L 2. For tree-level improved hamiltonians corrections behave as 1=L 2. In general l-loop improvement is expected to reduce this behaviour to 1=(L 2 log l L). We show that the nite-size-scaling and the perturbative limit do not commute in the c...

Finite-size scaling in the canonical ensemble

We investigate the critical scaling behavior of finite systems in the canonical ensemble. The essential difference with the grand canonical ensemble. i.e., the constraint on the number of particles, is already known to lead to the Fisher renormalization phenomenon that modifies the thermal critical singularities. We show that, in observables that are not Fisher renormalized, it also leads to a ...