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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 2, Pages 301–311
DOI: https://doi.org/10.4213/tmf6212 (Mi tmf6212) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Why current flows: A multiparticle one-dimensional model

V. A. Malyshev

M. V. Lomonosov Moscow State University
Full-text PDF (360 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6212
Abstract: In all known microscopic models of electric current including the basic Drude model, charged particles are accelerated by an external force and some random environment retards them. We introduce a classical multiparticle deterministic one-dimensional model on an interval with nearest-neighbor interaction, explaining how current can flow if the external force acts only on the ends of the passive part (i.e., outside the generator, battery, etc.) of the conductor. We obtain a family of explicit solutions.
Keywords: electric current, multiparticle system, solid state physics, classical dynamics.
Received: 26.03.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 766–774
DOI: https://doi.org/10.1007/s11232-008-0065-0
Bibliographic databases:
Language: Russian
Citation: V. A. Malyshev, “Why current flows: A multiparticle one-dimensional model”, TMF, 155:2 (2008), 301–311; Theoret. and Math. Phys., 155:2 (2008), 766–774
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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