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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 435–440
DOI: https://doi.org/10.4213/tmf6554
(Mi tmf6554)
 

This article is cited in 9 scientific papers (total in 9 papers)

Irreversibility and the role of an instrument in the functional formulation of classical mechanics

A. S. Trushechkin

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (339 kB) Citations (9)
References:
Abstract: We analyze the role of an instrument in the recently proposed functional formulation of classical mechanics, whose basic equation is the Liouville equation. Its solution has the delocalization (spreading) property, which is interpreted as irreversibility on the microlevel. We show that the reversible and recurrent dynamics for a particle can be observed by tracking the particle dynamics using instruments, but repeated measurements inevitably lead to a heat release and an increase in the entropy of the instrument. The irreversible behavior is thus transported from the system under study to the instrument, which is also a physical system.
Keywords: classical mechanics, irreversibility problem, Liouville equation, measurement theory.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1198–1201
DOI: https://doi.org/10.1007/s11232-010-0100-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Trushechkin, “Irreversibility and the role of an instrument in the functional formulation of classical mechanics”, TMF, 164:3 (2010), 435–440; Theoret. and Math. Phys., 164:3 (2010), 1198–1201
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6554
  • https://doi.org/10.4213/tmf6554
  • https://www.mathnet.ru/eng/tmf/v164/i3/p435
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:620
    Full-text PDF :282
    References:106
    First page:20
     
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