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

Abstract

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)].

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

References in corpus (10)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Random Time-Scale Invariant Diffusion and Transport Coefficients
• Thermoelectric efficiency at maximum power in a quantum dot
• Continuous time random walk and parametric subordination in fractional diffusion
• Entropy fluctuation theorems in driven open systems: application to electron counting statistics
• Continuous time random walk for open systems: Fluctuation theorems and counting statistics
• Dynamical fluctuations for semi-Markov processes
• Universal fluctuations in subdiffusive transport
• Full Counting Statistics and Field Theory
• Black-Scholes model under subordination

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