Diffusion of randomly driven solitons in molecular chains

N. Flytzanis; Z. Ivic; B. A. Malomed

doi:10.1209/0295-5075/30/5/003

Diffusion of randomly driven solitons in molecular chains

N. Flytzanis, Z. Ivic, B. A. Malomed

School of Electrical Engineering

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

Abstract

We examine the diffusive motion of solitons in a model of a molecular chain reducible to the non-linear Schrodinger equation driven by thermal fluctuations in the host lattice. Using the Fokker-Planck equation for the distribution function of the soliton’s position, we conclude that the soliton exhibits an effectively free random walk, the corresponding diffusion constant showing a linear temperature dependence.

Original language	English
Pages (from-to)	267-272
Number of pages	6
Journal	Journal de Physique (Paris), Lettres
Volume	30
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/30/5/003
State	Published - 10 May 1995

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title = "Diffusion of randomly driven solitons in molecular chains",

abstract = "We examine the diffusive motion of solitons in a model of a molecular chain reducible to the non-linear Schrodinger equation driven by thermal fluctuations in the host lattice. Using the Fokker-Planck equation for the distribution function of the soliton{\textquoteright}s position, we conclude that the soliton exhibits an effectively free random walk, the corresponding diffusion constant showing a linear temperature dependence.",

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AU - Ivic, Z.

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N2 - We examine the diffusive motion of solitons in a model of a molecular chain reducible to the non-linear Schrodinger equation driven by thermal fluctuations in the host lattice. Using the Fokker-Planck equation for the distribution function of the soliton’s position, we conclude that the soliton exhibits an effectively free random walk, the corresponding diffusion constant showing a linear temperature dependence.

AB - We examine the diffusive motion of solitons in a model of a molecular chain reducible to the non-linear Schrodinger equation driven by thermal fluctuations in the host lattice. Using the Fokker-Planck equation for the distribution function of the soliton’s position, we conclude that the soliton exhibits an effectively free random walk, the corresponding diffusion constant showing a linear temperature dependence.

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JO - Journal de Physique (Paris), Lettres

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Diffusion of randomly driven solitons in molecular chains

Abstract

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