Biancalani, Tommaso, Dyson, Louise and McKane, Alan J. (2015) The statistics of fixation times for systems with recruitment. Journal of Statistical Mechanics: Theory and Experiment, 2015 (1). P01013. doi:10.1088/1742-5468/2015/01/P01013 ISSN 1742-5468.

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Abstract

We investigate the statistics of the time taken for a system driven by recruitment to reach fixation. Our model describes a series of experiments where a population is confronted with two identical options, resulting in the system fixating on one of the options. For a specific population size, we show that the time distribution behaves like an inverse Gaussian with an exponential decay. Varying the population size reveals that the timescale of the decay depends on the population size and allows the critical population number, below which fixation occurs, to be estimated from experimental data.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Journal of Statistical Mechanics: Theory and Experiment
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	1742-5468
Official Date:	9 January 2015
Dates:	Date Event 9 January 2015 Published UNSPECIFIED Available 2 December 2014 Accepted 1 August 2014 Submitted
Volume:	2015
Number:	1
Article Number:	P01013
DOI:	10.1088/1742-5468/2015/01/P01013
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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