TY - JOUR

T1 - Superuniversality of acceleration correlations for random walks on fractals

AU - Nakanishi, H.

AU - Meir, Y.

AU - Gefen, Y.

AU - Aharony, A.

AU - Schofield, P.

PY - 1987

Y1 - 1987

N2 - The acceleration-acceleration correlation function, K(t)=(a(t).a(0)) (a=d2r/dt2, where r is the displacement), of a random walker on a fractal lattice is studied analytically and numerically on percolation clusters and on diffusion-limited aggregates at dimensions d=2,3. After t(>>1) discrete time steps, the authors find K(t)=A(t)/(r 2(t)), with A(t) approximately (-1)t. At a fixed distance R from the origin they find the superuniversal law K(R) approximately R -2 on all fractals and for all d.

AB - The acceleration-acceleration correlation function, K(t)=(a(t).a(0)) (a=d2r/dt2, where r is the displacement), of a random walker on a fractal lattice is studied analytically and numerically on percolation clusters and on diffusion-limited aggregates at dimensions d=2,3. After t(>>1) discrete time steps, the authors find K(t)=A(t)/(r 2(t)), with A(t) approximately (-1)t. At a fixed distance R from the origin they find the superuniversal law K(R) approximately R -2 on all fractals and for all d.

UR - http://www.scopus.com/inward/record.url?scp=36149036651&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/20/3/007

DO - 10.1088/0305-4470/20/3/007

M3 - מאמר

AN - SCOPUS:36149036651

VL - 20

SP - L153-L158

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 3

M1 - 007

ER -