Phase-Transition in Binary Sequences with Long-Range Correlations

Details Phase-Transition in Binary Sequences with Long-Range Correlations Phase-Transition in Binary Sequences with Long-Range Correlations

2003-11-20

arxiv.org/abs/cond-mat/0311483v1

Phys. Rev. E 70, Rapid Communication, 015104 (2004).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.70.015104

Motivated by novel results in the theory of correlated sequences, we analyze the dynamics of random walks with long-term memory (binary chains with long-range correlations). In our model, the probability for a unit bit in a binary string depends on the fraction of unities preceding it. We show that the system undergoes a dynamical phase-transition from normal diffusion, in which the variance D_L scales as the string's length L, into a super-diffusion phase (D_L ~ L^{1+|alpha|}), when the correlation strength exceeds a critical value. We demonstrate the generality of our results with respect to alternative models, and discuss their applicability to various data, such as coarse-grained DNA sequences, written texts, and financial data.

Affiliated with

Also associated with

No associations

Rating

Phase-Transition in Binary Sequences with Long-Range Correlations 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 Phase-Transition in Binary Sequences with Long-Range Correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase-Transition in Binary Sequences with Long-Range Correlations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406032