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Volumn 71, Issue 4, 2005, Pages

Randomly accelerated particle in a box: Mean absorption time for partially absorbing and inelastic boundaries

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER-PLANCK EQUATIONS; INELASTIC BOUNDARIES; MEAN ABSORPTION; VELOCITY DISTRIBUTION;

EID: 37649030487     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.046115     Document Type: Article
Times cited : (15)

References (24)
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    • (2001) Phys. Rev. E , vol.63 , pp. 011111
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    • 0000513263 scopus 로고    scopus 로고
    • J. Masoliver and J. M. Porrà, Phys. Rev. Lett. 75, 189 (1995); 53, 2243 (1996).
    • (1996) Phys. Rev. Lett. , vol.53 , pp. 2243
  • 13
    • 0038887804 scopus 로고
    • edited by R. E. Langer University of Wisconsin Press, Madison
    • G. Fichera, in Boundary Problems in Differential Equations, edited by R. E. Langer (University of Wisconsin Press, Madison, 1960); O. A. Oleinik, Sov. Math. Dokl. 5, 1129 (1964); J. N. Yang and M. Shinozuka, J. Acoust. Soc. Am. 47, 393 (1970).
    • (1960) Boundary Problems in Differential Equations
    • Fichera, G.1
  • 14
    • 4544307007 scopus 로고
    • G. Fichera, in Boundary Problems in Differential Equations, edited by R. E. Langer (University of Wisconsin Press, Madison, 1960); O. A. Oleinik, Sov. Math. Dokl. 5, 1129 (1964); J. N. Yang and M. Shinozuka, J. Acoust. Soc. Am. 47, 393 (1970).
    • (1964) Sov. Math. Dokl. , vol.5 , pp. 1129
    • Oleinik, O.A.1
  • 15
    • 0011052282 scopus 로고
    • G. Fichera, in Boundary Problems in Differential Equations, edited by R. E. Langer (University of Wisconsin Press, Madison, 1960); O. A. Oleinik, Sov. Math. Dokl. 5, 1129 (1964); J. N. Yang and M. Shinozuka, J. Acoust. Soc. Am. 47, 393 (1970).
    • (1970) J. Acoust. Soc. Am. , vol.47 , pp. 393
    • Yang, J.N.1    Shinozuka, M.2
  • 19
    • 33646987757 scopus 로고    scopus 로고
    • note
    • -1 for a particle moving on the half line x>0 with a single boundary at x=0, derived by McKean [1] and independently by Cornell et al. [5].
  • 23
    • 33646973532 scopus 로고    scopus 로고
    • note
    • c. This result only holds for the continuous time dynamics (1). For discrete dynamics with a nonvanishing time step, the number of collisions in a finite time is necessarily finite.


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