Abstract
The true self-avoiding walk is generalised by admitting that the self-avoidance parameter depends on the past history of the walk. For the generalised model the end-to-end distance exponent nu is calculated by a method that gives the same result as a Flory-type theory for the usual true self-avoiding walk. The exponent nu is predicted to be continuously variable with one of the parameters of the generalised model. The resulting expression for the exponent nu is confirmed by Monte Carlo simulations.
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