2.4k citations · 7.3k across the 76 of their papers we have counts for
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Ordering statistics of 4 random walkers on the line
Brian Helenbrook, Daniel ben-Avraham
We study the ordering statistics of 4 random walkers on the line, obtaining a much improved estimate for the long-time decay exponent of the probability that a particle leads to ti…
Entropy production in nonequilibrium steady states: A different approach and an exactly solvable canonical model
Daniel ben-Avraham, Sven Dorosz, Michel Pleimling
We discuss entropy production in nonequilibrium steady states by focusing on paths obtained by sampling at regular (small) intervals, instead of sampling on each change of the syst…
Exact solution of the Nonconsensus Opinion Model on the line
Daniel ben-Avraham
The nonconcensus opinion model (NCO) introduced recently by Shao et al., [Phys. Rev. Lett.103, 018701 (2009)] is solved exactly on the line. Although, as expected, the model exhibi…
Realm of Validity of the Crooks Relation
Daniel ben-Avraham, Sven Dorosz, Michel Pleimling
We consider the distribution of the Hatano-Sasa entropy, , in reversible and irreversible processes, finding that the Crooks relation for the ratio of the pdf's of the fo…
Small-scale behaviour in deterministic reaction models
Paolo Politi, Daniel ben-Avraham
In a recent paper published in this journal [J. Phys. A: Math. Theor. 42 (2009) 495004] we studied a one-dimensional particles system where nearest particles attract with a force i…
Greedy Connectivity of Geographically Embedded Graphs
Jie Sun, Daniel ben-Avraham
We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information,…