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Directed Self-Avoiding Walks Criticality by Frontiers is a document available to read on EtoBox.
1) A new type of directed self-avoiding walk (SAW) is proposed where walks are only permitted in one direction on a square lattice. 2) The critical behavior of directed SAWs is found to be different than ordinary SAWs, with different critical exponents (ν=0.86, γ=1 for directed SAWs vs. ν=0.75, γ=1.1667 for ordinary SAWs). 3) Recursion relations are derived and exact enumeration is used to calculate properties of directed SAWs up to length 14, supporting the conclusion that directed SAWs belong to a new
- Author
- Frontiers
- Language
- EN