Prof John Cardy FRS

Abstract:

It is shown that the scaling operators in the conformal limit of a two-dimensional field theory have massive form factors which obey a simple factorisation property in rapidity space. This has been used to identify such operators within the form factor bootstrap approach. A sum rule which yields the scaling dimension of such operators is also derived.

Abstract:

We study theoretically and numerically the steady state diffusion controlled reaction [Formula Presented], where currents [Formula Presented] of [Formula Presented] and [Formula Presented] particles are applied at opposite boundaries. For a reaction rate [Formula Presented], and equal diffusion constants [Formula Presented], we find that when [Formula Presented] the reaction front is well described by mean-field theory. However, for [Formula Presented], the front acquires a Gaussian profile—a result of noise induced wandering of the reaction front center. We make a theoretical prediction for this profile which is in good agreement with simulation. Finally, we investigate the intrinsic (nonwandering) front width and find results consistent with scaling and field theoretic predictions. © 1996 The American Physical Society.