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Description: |
Abstract: We consider continuous-time random walk models described by arbitrary sojourn time probability density functions. We find a general expression for the distribution of time-averaged observables for such systems, generalizing some recent results presented in the literature. For the case in which all the sojourn times are identically distributed independent random variables, our results shed some light on the recently proposed transitions between ergodic and weakly-ergodic regimes. On the other hand, for the case of non-identical trapping time densities, the distribution of time-averaged observables reveals that such systems are typically nonergodic, in agreement with some recent experimental evidences on the statistics of blinking quantum dots. Some explicit examples are considered in detail.
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Date: |
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| Start Time: |
11:45 |
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Speaker: |
Roberto Venegeroles (Centro de Matemática, Computação e Cognição - UFABC - Brazil)
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Institution: |
Centro de Matemática, Computação e Cognição - UFABC - Brazil
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Place: |
Room 5.5
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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