Theoretical Foundations

Grigolini, Paolo

doi:10.1002/9780470142868.ch1

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"To Us Complexity Means That We Have Structure With Variati1

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2014

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Cited by 27 publications

(1 citation statement)

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“…Furthermore a generalized Langevin equation is derived where the stochastic interpretation of the driving forcing is introduced by noting that the initial state of the bath is uncertain and it is in general only determined via a distribution of initial states [14, Equation (1.34)]. Under certain conditions, the velocity autocorrelation function R(t) turns out to satisfy the integral equation [22,23,14, Equation…”

Section: "To Us Complexity Means That We Have Structure With Variatimentioning

confidence: 99%

Short note on the emergence of fractional kinetics

Pagnini¹

2014

Physica A: Statistical Mechanics and its Applications

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In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to be solely Markovian and described by the Continuous Time Random Walk model. But, as a consequence of the complexity of the medium, each trajectory is supposed to scale in time according to a particular random timescale.

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Section: "To Us Complexity Means That We Have Structure With Variatimentioning

confidence: 99%