Crossover between Linear and Nonlinear Elastic Behaviors in Random and Self-Avoiding Walks
β Scribed by Masatsuji, Satoru; Nakagawa, Natsuko; Ohno, Kaoru
- Book ID
- 126254997
- Publisher
- American Chemical Society
- Year
- 2008
- Tongue
- English
- Weight
- 579 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0024-9297
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Consider a set of N cities randomly distributed in the bulk of a hypercube with d dimensions. A walker, with memory m, begins his route from a given city of this map and moves, at each discrete time step, to the nearest point, which has not been visited in the preceding m steps. After reviewing the
Monte Carlo simulations of loop-erased self-avoiding random walks in four and five dimensions were performed, using two distinct algorithms. We find consistency between these methods in their estimates of critical exponents. The upper critical dimension for this phenomenon is four, and it has been s