https://doi.org/10.1007/s100510050631
An investigation into the determination of critical dimension of self-avoiding random walk on a d-dimensional simplex fractal
1
Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664, Iran
2
Institute for Studies in Theoretical Physics and Mathematics, Teheran 19395-1795, Iran
Received:
6
April
1998
Revised:
4
August
1998
Accepted:
26
August
1998
Published online: 15 February 1999
By setting up the relevant recursion relations and by doing exact and approximate calculations, we show that there is no critical dimension in a self-avoiding random walk on a simplex fractal.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 36.20.Ey – Conformation (statistics and dynamics)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
