Marginal Relevance of Disorder for Pinning Models

  title={Marginal Relevance of Disorder for Pinning Models},
  author={HUBERT LACOIN and Fabio Lucio Toninelli},
The effect of disorder on pinning and wetting models has attracted much attention in theoretical physics (e.g. [16, 11]). In particular, it has been predicted on the basis of the Harris criterion that disorder is relevant (annealed and quenched model have different critical points and critical exponents) if the return probability exponent α, a positive number that characterizes the model, is larger than 1/2. Weak disorder has been predicted to be irrelevant (i.e. coinciding critical points and… CONTINUE READING
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