Stochastic pursuit-evasion curves for foraging dynamics

Toman, Kellan; Voulgarakis, Nikolaos K.

doi:10.1016/j.physa.2022.127324

Cited by 3 publications

(1 citation statement)

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“…This model can be mathematically formulated either as an RW coupled to n independent noise sources or by a system of hierarchically coupled Ornstein-Uhlenbeck (OU) processes. Following the results in [57,58], it is shown here that, for n = 2, the model can capture a wide range of transient super-and subdiffusive dynamics, regardless of whether the initial behavior is ballistic or diffusive. The analytical and numerical results are in exceptional qualitative agreement with a broad range of experimental, molecular dynamics (MD) simulation, and other numerical and theoretical studies.…”

Section: Introductionsupporting

confidence: 53%

Hierarchically Coupled Ornstein–Uhlenbeck Processes for Transient Anomalous Diffusion

Wang,

Voulgarakis

2024

Physics

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The nonlinear dependence of the mean-squared displacement (MSD) on time is a common characteristic of particle transport in complex environments. Frequently, this anomalous behavior only occurs transiently before the particle reaches a terminal Fickian diffusion. This study shows that a system of hierarchically coupled Ornstein–Uhlenbeck equations is able to describe both transient subdiffusion and transient superdiffusion dynamics, as well as their sequential combinations. To validate the model, five distinct experimental, molecular dynamics simulation, and theoretical studies are successfully described by the model. The comparison includes the transport of particles in random optical fields, supercooled liquids, bedrock, soft colloidal suspensions, and phonons in solids. The model’s broad applicability makes it a convenient tool for interpreting the MSD profiles of particles exhibiting transient anomalous diffusion.

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Section: Introductionsupporting

confidence: 53%