Self-reinforcing directionality generates truncated Lévy walks without the power-law assumptionCitation formats

Standard

Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption. / Fedotov, Sergei; Han, Daniel; Korabel, Nickolay.

In: Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, Vol. 103, 022132, 19.02.2021.

Research output: Contribution to journalArticlepeer-review

Harvard

Fedotov, S, Han, D & Korabel, N 2021, 'Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption', Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, vol. 103, 022132. https://doi.org/10.1103/PhysRevE.103.022132

APA

Fedotov, S., Han, D., & Korabel, N. (2021). Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption. Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 103, [022132]. https://doi.org/10.1103/PhysRevE.103.022132

Vancouver

Fedotov S, Han D, Korabel N. Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption. Physical Review E: covering statistical, nonlinear, biological, and soft matter physics. 2021 Feb 19;103. 022132. https://doi.org/10.1103/PhysRevE.103.022132

Author

Fedotov, Sergei ; Han, Daniel ; Korabel, Nickolay. / Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption. In: Physical Review E: covering statistical, nonlinear, biological, and soft matter physics. 2021 ; Vol. 103.

Bibtex

@article{323c11b72e164695849630960f72e06b,
title = "Self-reinforcing directionality generates truncated L{\'e}vy walks without the power-law assumption",
abstract = "We introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs self-organize into truncated L{\'e}vy walks observed in active intracellular transport by Chen et al. [Nature Mater., 14, 589 (2015)]. We derive the nonhomogeneous in space and time, hyperbolic partial differential equation for the probability density function (PDF) of particle position. This PDF exhibits a bimodal density (aggregation phenomena) in the superdiffusive regime, which is not observed in classical linear hyperbolic and L{\'e}vy walk models. We find the exact solutions for the first and second moments and criteria for the transition to superdiffusion.",
author = "Sergei Fedotov and Daniel Han and Nickolay Korabel",
year = "2021",
month = feb,
day = "19",
doi = "10.1103/PhysRevE.103.022132",
language = "English",
volume = "103",
journal = "Physical Review E: covering statistical, nonlinear, biological, and soft matter physics",
issn = "1539-3755",
publisher = "American Physical Society",

}

RIS

TY - JOUR

T1 - Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption

AU - Fedotov, Sergei

AU - Han, Daniel

AU - Korabel, Nickolay

PY - 2021/2/19

Y1 - 2021/2/19

N2 - We introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs self-organize into truncated Lévy walks observed in active intracellular transport by Chen et al. [Nature Mater., 14, 589 (2015)]. We derive the nonhomogeneous in space and time, hyperbolic partial differential equation for the probability density function (PDF) of particle position. This PDF exhibits a bimodal density (aggregation phenomena) in the superdiffusive regime, which is not observed in classical linear hyperbolic and Lévy walk models. We find the exact solutions for the first and second moments and criteria for the transition to superdiffusion.

AB - We introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs self-organize into truncated Lévy walks observed in active intracellular transport by Chen et al. [Nature Mater., 14, 589 (2015)]. We derive the nonhomogeneous in space and time, hyperbolic partial differential equation for the probability density function (PDF) of particle position. This PDF exhibits a bimodal density (aggregation phenomena) in the superdiffusive regime, which is not observed in classical linear hyperbolic and Lévy walk models. We find the exact solutions for the first and second moments and criteria for the transition to superdiffusion.

U2 - 10.1103/PhysRevE.103.022132

DO - 10.1103/PhysRevE.103.022132

M3 - Article

VL - 103

JO - Physical Review E: covering statistical, nonlinear, biological, and soft matter physics

JF - Physical Review E: covering statistical, nonlinear, biological, and soft matter physics

SN - 1539-3755

M1 - 022132

ER -