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A new method based on the concept of fractal dimensionality is used to study the problem of self-avoiding walks in a four-dimensional lattice. The authors find from Monte Carlo simulations that the confluent logarithmic exponent related to the end-to-end distance is 1 / 8 +or-0.01, in excellent agreement with the prediction derived from the n to 0 vector model.
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Havlin et al. (1982) studied this question.
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