Flux control in networks of diffusion paths

A. I. Zhmoginov; N. J. Fisch

doi:10.1016/j.physleta.2008.06.068

Flux control in networks of diffusion paths

A. I. Zhmoginov, N. J. Fisch

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

3 Scopus citations

Abstract

A class of optimization problems in networks of intersecting diffusion domains of a special form of thin paths has been considered. The system of equations describing stationary solutions is equivalent to an electrical circuit built of intersecting conductors. The solution of an optimization problem has been obtained and extended to the analogous electrical circuit. The interest in this network arises from, among other applications, an application to wave-particle diffusion through resonant interactions in plasma.

Original language	English (US)
Pages (from-to)	5534-5541
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	34
DOIs	https://doi.org/10.1016/j.physleta.2008.06.068
State	Published - Aug 18 2008

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Alpha-channeling
Cyclotron resonance
Diffusion
Electrical circuit
Optimization

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10.1016/j.physleta.2008.06.068

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title = "Flux control in networks of diffusion paths",

abstract = "A class of optimization problems in networks of intersecting diffusion domains of a special form of thin paths has been considered. The system of equations describing stationary solutions is equivalent to an electrical circuit built of intersecting conductors. The solution of an optimization problem has been obtained and extended to the analogous electrical circuit. The interest in this network arises from, among other applications, an application to wave-particle diffusion through resonant interactions in plasma.",

keywords = "Alpha-channeling, Cyclotron resonance, Diffusion, Electrical circuit, Optimization",

author = "Zhmoginov, {A. I.} and Fisch, {N. J.}",

note = "Funding Information: This work was supported by DOE Contracts No. DE-FG02-06ER54851 and DE-AC0276-CH03073. ",

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T1 - Flux control in networks of diffusion paths

AU - Zhmoginov, A. I.

AU - Fisch, N. J.

N1 - Funding Information: This work was supported by DOE Contracts No. DE-FG02-06ER54851 and DE-AC0276-CH03073.

PY - 2008/8/18

Y1 - 2008/8/18

N2 - A class of optimization problems in networks of intersecting diffusion domains of a special form of thin paths has been considered. The system of equations describing stationary solutions is equivalent to an electrical circuit built of intersecting conductors. The solution of an optimization problem has been obtained and extended to the analogous electrical circuit. The interest in this network arises from, among other applications, an application to wave-particle diffusion through resonant interactions in plasma.

AB - A class of optimization problems in networks of intersecting diffusion domains of a special form of thin paths has been considered. The system of equations describing stationary solutions is equivalent to an electrical circuit built of intersecting conductors. The solution of an optimization problem has been obtained and extended to the analogous electrical circuit. The interest in this network arises from, among other applications, an application to wave-particle diffusion through resonant interactions in plasma.

KW - Alpha-channeling

KW - Cyclotron resonance

KW - Diffusion

KW - Electrical circuit

KW - Optimization

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M3 - Article

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SP - 5534

EP - 5541

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 34

ER -

Flux control in networks of diffusion paths

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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