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Showing 2011 · cond-mat.stat-mechShow all
3 papers · 2 filters
cond-mat.stat-mech2011★ 55 cited
Distributional Response to Biases in Deterministic Superdiffusion
Takuma Akimoto
We report on a novel response to biases in deterministic superdiffusion. For its reduced map, we show using infinite ergodic theory that the time-averaged velocity (TAV) is intrins…
cond-mat.stat-mech2011★ 6 cited
Dynamical Instability and Transport Coefficient in Deterministic Diffusion
Takuma Akimoto
We construct both normal and anomalous deterministic biased diffusions to obtain the Einstein relation for their time-averaged transport coefficients. We find that the difference o…
cond-mat.stat-mech2011★ 29 cited
Ultraslow Convergence to Ergodicity in Transient Subdiffusion
Tomoshige Miyaguchi, Takuma Akimoto
We investigate continuous time random walks with truncated -stable trapping times. We prove distributional ergodicity for a class of observables; namely, the time-averaged obser…