Critical behavior of random-bond potts models
Physical Review Letters 79:21 (1997) 4063-4066
Abstract:
The effect of quenched impurities on systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d > 2 such systems exhibit a tricritical point with an exponent ν = νRF/(2 − αRF − βRF). In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a ratio β/ν which varies continuously with q, and a weakly varying exponent ν ≈ 1. We find strong evidence for the multiscaling of the correlation functions. © 1997 American Physical Society.Extraordinary transition in the two-dimensional O(n) model
NUCLEAR PHYSICS B 506:3 (1997) 553-564
Renormalization group study of the A+B->0 diffusion-limited reaction (vol 80, pg 971, 1995)
JOURNAL OF STATISTICAL PHYSICS 87:3-4 (1997) 951-954
Asymptotic factorisation of form factors in two-dimensional quantum field theory
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 387:2 (1996) 327-333
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.Reaction-diffusion front for A+B-->.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 53:3 (1996) R2017-R2020