Random walks on random partitions in one dimension

Walter Nadler; Tsongjy Huang; D. L. Stein

doi:10.1103/PhysRevE.54.4037

Random walks on random partitions in one dimension

Walter Nadler, Tsongjy Huang, D. L. Stein

Research output: Contribution to journal › Article › peer-review

Abstract

Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.

Original language	English (US)
Pages (from-to)	4037-4047
Number of pages	11
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	54
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.54.4037
State	Published - 1996

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.54.4037

Cite this

@article{96b0e4b8ceec4cba8508d3fec1cbd5b3,

title = "Random walks on random partitions in one dimension",

abstract = "Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.",

author = "Walter Nadler and Tsongjy Huang and Stein, {D. L.}",

year = "1996",

doi = "10.1103/PhysRevE.54.4037",

language = "English (US)",

volume = "54",

pages = "4037--4047",

journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1063-651X",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Random walks on random partitions in one dimension

AU - Nadler, Walter

AU - Huang, Tsongjy

AU - Stein, D. L.

PY - 1996

Y1 - 1996

N2 - Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.

AB - Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.

UR - http://www.scopus.com/inward/record.url?scp=4244141552&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244141552&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.54.4037

DO - 10.1103/PhysRevE.54.4037

M3 - Article

AN - SCOPUS:4244141552

SN - 1063-651X

VL - 54

SP - 4037

EP - 4047

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 4

ER -

Random walks on random partitions in one dimension

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this