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Energy-dependent diffusion in a soft periodic Lorentz gas

Tutkimustuotosvertaisarvioitu

Standard

Energy-dependent diffusion in a soft periodic Lorentz gas. / Gil-Gallegos, S.; Klages, R.; Solanpää, J.; Räsänen, E.

julkaisussa: European Physical Journal: Special Topics, Vuosikerta 228, Nro 1, 01.05.2019, s. 143-160.

Tutkimustuotosvertaisarvioitu

Harvard

Gil-Gallegos, S, Klages, R, Solanpää, J & Räsänen, E 2019, 'Energy-dependent diffusion in a soft periodic Lorentz gas', European Physical Journal: Special Topics, Vuosikerta. 228, Nro 1, Sivut 143-160. https://doi.org/10.1140/epjst/e2019-800136-8

APA

Gil-Gallegos, S., Klages, R., Solanpää, J., & Räsänen, E. (2019). Energy-dependent diffusion in a soft periodic Lorentz gas. European Physical Journal: Special Topics, 228(1), 143-160. https://doi.org/10.1140/epjst/e2019-800136-8

Vancouver

Gil-Gallegos S, Klages R, Solanpää J, Räsänen E. Energy-dependent diffusion in a soft periodic Lorentz gas. European Physical Journal: Special Topics. 2019 touko 1;228(1):143-160. https://doi.org/10.1140/epjst/e2019-800136-8

Author

Gil-Gallegos, S. ; Klages, R. ; Solanpää, J. ; Räsänen, E. / Energy-dependent diffusion in a soft periodic Lorentz gas. Julkaisussa: European Physical Journal: Special Topics. 2019 ; Vuosikerta 228, Nro 1. Sivut 143-160.

Bibtex - Lataa

@article{eaf20e6c0ef14ce5a715f33d35433a54,
title = "Energy-dependent diffusion in a soft periodic Lorentz gas",
abstract = "The periodic Lorentz gas is a paradigmatic model to examine how macroscopic transport emerges from microscopic chaos. It consists of a triangular lattice of circular hard scatterers with a moving point particle. Recently this system became relevant as a model for electronic transport in low-dimensional nanosystems such as molecular graphene. However, to more realistically mimic such dynamics, the hard Lorentz gas scatterers should be replaced by soft potentials. Here we study diffusion in a soft Lorentz gas with Fermi potentials under variation of the total energy of the moving particle. Our goal is to understand the diffusion coefficient as a function of the energy. In our numerical simulations we identify three different dynamical regimes: (i) the onset of diffusion at small energies; (ii) a transition where for the first time a particle reaches the top of the potential, characterized by the diffusion coefficient abruptly dropping to zero; and (iii) diffusion at high energies, where the diffusion coefficient increases according to a power law in the energy. All these different regimes are understood analytically in terms of simple random walk approximations.",
author = "S. Gil-Gallegos and R. Klages and J. Solanp{\"a}{\"a} and E. R{\"a}s{\"a}nen",
year = "2019",
month = "5",
day = "1",
doi = "10.1140/epjst/e2019-800136-8",
language = "English",
volume = "228",
pages = "143--160",
journal = "European Physical Journal. Special Topics",
issn = "1951-6355",
publisher = "EDP Sciences",
number = "1",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Energy-dependent diffusion in a soft periodic Lorentz gas

AU - Gil-Gallegos, S.

AU - Klages, R.

AU - Solanpää, J.

AU - Räsänen, E.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - The periodic Lorentz gas is a paradigmatic model to examine how macroscopic transport emerges from microscopic chaos. It consists of a triangular lattice of circular hard scatterers with a moving point particle. Recently this system became relevant as a model for electronic transport in low-dimensional nanosystems such as molecular graphene. However, to more realistically mimic such dynamics, the hard Lorentz gas scatterers should be replaced by soft potentials. Here we study diffusion in a soft Lorentz gas with Fermi potentials under variation of the total energy of the moving particle. Our goal is to understand the diffusion coefficient as a function of the energy. In our numerical simulations we identify three different dynamical regimes: (i) the onset of diffusion at small energies; (ii) a transition where for the first time a particle reaches the top of the potential, characterized by the diffusion coefficient abruptly dropping to zero; and (iii) diffusion at high energies, where the diffusion coefficient increases according to a power law in the energy. All these different regimes are understood analytically in terms of simple random walk approximations.

AB - The periodic Lorentz gas is a paradigmatic model to examine how macroscopic transport emerges from microscopic chaos. It consists of a triangular lattice of circular hard scatterers with a moving point particle. Recently this system became relevant as a model for electronic transport in low-dimensional nanosystems such as molecular graphene. However, to more realistically mimic such dynamics, the hard Lorentz gas scatterers should be replaced by soft potentials. Here we study diffusion in a soft Lorentz gas with Fermi potentials under variation of the total energy of the moving particle. Our goal is to understand the diffusion coefficient as a function of the energy. In our numerical simulations we identify three different dynamical regimes: (i) the onset of diffusion at small energies; (ii) a transition where for the first time a particle reaches the top of the potential, characterized by the diffusion coefficient abruptly dropping to zero; and (iii) diffusion at high energies, where the diffusion coefficient increases according to a power law in the energy. All these different regimes are understood analytically in terms of simple random walk approximations.

U2 - 10.1140/epjst/e2019-800136-8

DO - 10.1140/epjst/e2019-800136-8

M3 - Article

VL - 228

SP - 143

EP - 160

JO - European Physical Journal. Special Topics

JF - European Physical Journal. Special Topics

SN - 1951-6355

IS - 1

ER -