On the relation between event-based and time-based current statistics

Details On the relation between event-based and time-based current statistics On the relation between event-based and time-based current statistics

2009-09-23

arxiv.org/abs/0909.4120v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure; v2: accepted in EPL 89, 10008 (2010)

Scientific paper

Current statistics can be calculated in various ways. Event-based approaches use the statistics of the number of events occuring during a given time. Time-based approaches use the statistics of the time needed to reach a given number of events. By analyzing normal as well as anomalous statistics of nonequilibrium currents through a two level system in contact with two different reservoirs, we investigate the conditions under which these different statistics do or do not yield identical predictions. We rely on the continuous time random walk formulation introduced in our earlier work [Phys. Rev. E 77, 051119 (2008)].

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