Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

V. Méndez; D. Campos; J. Fort

doi:10.1209/epl/i2004-10062-4

Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

V. Méndez, D. Campos, J. Fort

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

8 Citations (Scopus)

Abstract

The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.

Original language	English
Pages (from-to)	902-908
Journal	Europhysics Letters
Volume	66
DOIs	https://doi.org/10.1209/epl/i2004-10062-4
Publication status	Published - 15 Mar 2004

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title = "Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions",

abstract = "The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.",

author = "V. M{\'e}ndez and D. Campos and J. Fort",

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T1 - Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

AU - Méndez, V.

AU - Campos, D.

AU - Fort, J.

PY - 2004/3/15

Y1 - 2004/3/15

N2 - The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.

AB - The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.

U2 - 10.1209/epl/i2004-10062-4

DO - 10.1209/epl/i2004-10062-4

M3 - Article

SN - 0295-5075

VL - 66

SP - 902

EP - 908

JO - Europhysics Letters

JF - Europhysics Letters

ER -

Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

Abstract

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