Exact calculation of the anomalous dimension of the diffusion coefficient for a model of a random walk in a random potential. (English) Zbl 0707.60104
Summary: Renormalisation of a model of classical diffusion in a random potential is analysed. It is shown that at two dimensions the one-loop expression for the anomalous dimension of the diffusion coefficient is perturbatively exact leading to the coupling-dependent value \(1/\nu =2+g/4\pi\) of the exponent \(\nu\).
MSC:
60K40 | Other physical applications of random processes |
82B26 | Phase transitions (general) in equilibrium statistical mechanics |
60G50 | Sums of independent random variables; random walks |