Dynamics of a heavy particle surrounded by a finite number of light particles

Ya G. Sinai

doi:10.1007/BF02557232

Dynamics of a heavy particle surrounded by a finite number of light particles

Ya G. Sinai

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

21 Scopus citations

Abstract

We consider a dynamic system consisting of a heavy particle of mass M and surrounding light particles moving independently with elastic reflections in the segment [0, 1]. At a given total energy value independent of M, we find the dynamics of the heavy particle with respect to the slow time t/√M.

Original language	English (US)
Pages (from-to)	1351-1357
Number of pages	7
Journal	Theoretical and Mathematical Physics
Volume	121
Issue number	1
DOIs	https://doi.org/10.1007/BF02557232
State	Published - Oct 1999

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02557232

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@article{21fcbbf344024d8ebb088ebec27216da,

title = "Dynamics of a heavy particle surrounded by a finite number of light particles",

abstract = "We consider a dynamic system consisting of a heavy particle of mass M and surrounding light particles moving independently with elastic reflections in the segment [0, 1]. At a given total energy value independent of M, we find the dynamics of the heavy particle with respect to the slow time t/√M.",

author = "Sinai, \{Ya G.\}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research (Grant No. 99-01-00314) and the NSF (Grant No. DMS-9706794).",

year = "1999",

month = oct,

doi = "10.1007/BF02557232",

language = "English (US)",

volume = "121",

pages = "1351--1357",

journal = "Theoretical and Mathematical Physics",

issn = "0040-5779",

publisher = "Pleiades Publishing",

number = "1",

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T1 - Dynamics of a heavy particle surrounded by a finite number of light particles

AU - Sinai, Ya G.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research (Grant No. 99-01-00314) and the NSF (Grant No. DMS-9706794).

PY - 1999/10

Y1 - 1999/10

N2 - We consider a dynamic system consisting of a heavy particle of mass M and surrounding light particles moving independently with elastic reflections in the segment [0, 1]. At a given total energy value independent of M, we find the dynamics of the heavy particle with respect to the slow time t/√M.

AB - We consider a dynamic system consisting of a heavy particle of mass M and surrounding light particles moving independently with elastic reflections in the segment [0, 1]. At a given total energy value independent of M, we find the dynamics of the heavy particle with respect to the slow time t/√M.

UR - https://www.scopus.com/pages/publications/0033235475

UR - https://www.scopus.com/pages/publications/0033235475#tab=citedBy

U2 - 10.1007/BF02557232

DO - 10.1007/BF02557232

M3 - Article

AN - SCOPUS:0033235475

SN - 0040-5779

VL - 121

SP - 1351

EP - 1357

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 1

ER -

Dynamics of a heavy particle surrounded by a finite number of light particles

Abstract

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