A Stochastic Description for Extremal Dynamics

Details A Stochastic Description for Extremal Dynamics A Stochastic Description for Extremal Dynamics

1999-08-14

arxiv.org/abs/cond-mat/9908212v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages LaTex, 3 figures .eps

Scientific paper

10.1209/epl/i2000-00330-9

We show that extremal dynamics is very well modelled by the "Linear Fractional Stable Motion" (LFSM), a stochastic process entirely defined by two exponents that take into account spatio-temporal correlations in the distribution of active sites. We demonstrate this numerically and analytically using well-known properties of the LFSM. Further, we use this correspondence to write an exact expressions for an n-point correlation function as well as an equation of fractional order for interface growth in extremal dynamics.

Affiliated with

Also associated with

No associations

Rating

A Stochastic Description for Extremal Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Stochastic Description for Extremal Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Stochastic Description for Extremal Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388844