Adiabatic piston as a dynamical system

A. I. Neishtadt; Y. G. Sinai

doi:10.1023/B:JOSS.0000037222.64432.62

Adiabatic piston as a dynamical system

A. I. Neishtadt, Y. G. Sinai

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

19 Scopus citations

Abstract

We consider systems of finitely many interacting particles in a cube with a separating wall having a big mass M (adiabatic piston). Assuming that the particles reflect elastically from the ball and the initial velocity of the piston is zero we prove that as M tends to infinity the dynamics of the piston converges to periodic oscillations.

Original language	English (US)
Pages (from-to)	815-820
Number of pages	6
Journal	Journal of Statistical Physics
Volume	116
Issue number	1-4
DOIs	https://doi.org/10.1023/B:JOSS.0000037222.64432.62
State	Published - Aug 2004

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

adiabatic invariant
adiabatic piston
averaging method

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10.1023/B:JOSS.0000037222.64432.62

Cite this

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title = "Adiabatic piston as a dynamical system",

abstract = "We consider systems of finitely many interacting particles in a cube with a separating wall having a big mass M (adiabatic piston). Assuming that the particles reflect elastically from the ball and the initial velocity of the piston is zero we prove that as M tends to infinity the dynamics of the piston converges to periodic oscillations.",

keywords = "adiabatic invariant, adiabatic piston, averaging method",

author = "Neishtadt, {A. I.} and Sinai, {Y. G.}",

note = "Funding Information: The first author thanks RFFI, Grants 03-01-00158, NSh-136.2003.1 and {\textquoteleft}{\textquoteleft}Integration{\textquoteright}{\textquoteright} program, grant B0053 for the financial support. The second author thanks NSF, Grant DMS–0070698 and RFFI, Grant 99-01-00314 for the financial support.",

year = "2004",

month = aug,

doi = "10.1023/B:JOSS.0000037222.64432.62",

language = "English (US)",

volume = "116",

pages = "815--820",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

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TY - JOUR

T1 - Adiabatic piston as a dynamical system

AU - Neishtadt, A. I.

AU - Sinai, Y. G.

N1 - Funding Information: The first author thanks RFFI, Grants 03-01-00158, NSh-136.2003.1 and ‘‘Integration’’ program, grant B0053 for the financial support. The second author thanks NSF, Grant DMS–0070698 and RFFI, Grant 99-01-00314 for the financial support.

PY - 2004/8

Y1 - 2004/8

N2 - We consider systems of finitely many interacting particles in a cube with a separating wall having a big mass M (adiabatic piston). Assuming that the particles reflect elastically from the ball and the initial velocity of the piston is zero we prove that as M tends to infinity the dynamics of the piston converges to periodic oscillations.

AB - We consider systems of finitely many interacting particles in a cube with a separating wall having a big mass M (adiabatic piston). Assuming that the particles reflect elastically from the ball and the initial velocity of the piston is zero we prove that as M tends to infinity the dynamics of the piston converges to periodic oscillations.

KW - adiabatic invariant

KW - adiabatic piston

KW - averaging method

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VL - 116

SP - 815

EP - 820

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-4

ER -

Adiabatic piston as a dynamical system

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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