메뉴 건너뛰기




Volumn 43, Issue 6, 2011, Pages 2542-2563

Asymptotic analysis for the narrow escape problem

Author keywords

Asymptotic estimates; Brownian motion; Poisson equation

Indexed keywords

ABSORBING SET; ASYMPTOTIC ESTIMATES; BROWNIAN PARTICLES; ESCAPE PROBLEM; ESCAPE TIME; EXPECTED TIME; FINITE NUMBER; MATHEMATICAL ANALYSIS;

EID: 84863012839     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/090775257     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 42549164971 scopus 로고    scopus 로고
    • Narrow escape time problem: Time needed for a particle to exit a confining domain through a small window
    • article 168105
    • O. Bénichou and R. Voituriez, Narrow escape time problem: Time needed for a particle to exit a confining domain through a small window, Phys. Rev. Lett., 100 (2008), article 168105.
    • (2008) Phys. Rev. Lett. , vol.100
    • Bénichou, O.1    Voituriez, R.2
  • 2
    • 79551489162 scopus 로고    scopus 로고
    • Analytical and numerical results for first escape time in 2D
    • C. Caginalp and X. Chen, Analytical and numerical results for first escape time in 2D, C. R. Math. Acad. Sci. Paris, 349 (2011), pp. 191-194.
    • (2011) C. R. Math. Acad. Sci. Paris , vol.349 , pp. 191-194
    • Caginalp, C.1    Chen, X.2
  • 3
    • 84863082534 scopus 로고    scopus 로고
    • Analytical and numerical results for first escape time in 2D
    • to appear
    • C. Caginalp and X. Chen, Analytical and numerical results for first escape time in 2D, Arch. Rational Mech. Anal., to appear.
    • Arch. Rational Mech. Anal.
    • Caginalp, C.1    Chen, X.2
  • 4
    • 77951899892 scopus 로고    scopus 로고
    • An asymptotic analysis of the mean first passage time for narrow escape problems, Part II: The sphere
    • A. F. Cheviakov, M. J. Ward, and R. Straube, An asymptotic analysis of the mean first passage time for narrow escape problems, Part II: The sphere, Multiscale Model. Simul., 8 (2010), pp. 836-870.
    • (2010) Multiscale Model. Simul. , vol.8 , pp. 836-870
    • Cheviakov, A.F.1    Ward, M.J.2    Straube, R.3
  • 5
    • 0003482920 scopus 로고
    • Applications of potential theory to mechanics: A selection of new results
    • Kluwer Academic, Boston
    • V. I. Fabrikant, Applications of Potential Theory to Mechanics: A Selection of New Results, Math. Appl., Kluwer Academic, Boston, 1989.
    • (1989) Math. Appl.
    • Fabrikant, V.I.1
  • 9
    • 10344243553 scopus 로고    scopus 로고
    • Escape through a small opening: Receptor trafficking in a synaptic membrane
    • DOI 10.1007/s10955-004-5712-8
    • D. Holcman and Z. Schuss, Escape through a small opening: Receptor trafficking in a synaptic membrane, J. Stat. Phys., 117 (2004), pp. 975-1014. (Pubitemid 39631182)
    • (2004) Journal of Statistical Physics , vol.117 , Issue.5-6 , pp. 975-1014
    • Holcman, D.1    Schuss, Z.2
  • 10
    • 42649133151 scopus 로고    scopus 로고
    • Diffusion escape through a cluster of small absorbing windows
    • article 155001
    • D. Holcman and Z. Schuss, Diffusion escape through a cluster of small absorbing windows, J. Phys. A, 41 (2008), article 155001.
    • (2008) J. Phys. A , vol.41
    • Holcman, D.1    Schuss, Z.2
  • 12
    • 77951907993 scopus 로고    scopus 로고
    • An asymptotic analysis of the mean first passage time for narrow escape problems, Part I: Two-dimensional domains
    • S. Pillay, M. J. Ward, A. Peirce, and T. Kolokolnikov, An asymptotic analysis of the mean first passage time for narrow escape problems, Part I: Two-dimensional domains, Multiscale Model. Simul., 8 (2010), pp. 803-835.
    • (2010) Multiscale Model. Simul. , vol.8 , pp. 803-835
    • Pillay, S.1    Ward, M.J.2    Peirce, A.3    Kolokolnikov, T.4
  • 15
    • 36148968483 scopus 로고    scopus 로고
    • The narrow escape problem for diffusion in cellular microdomains
    • Z. Schuss, A. Singer, and D. Holcman, The narrow escape problem for diffusion in cellular microdomains, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 16089-16103.
    • (2007) Proc. Natl. Acad. Sci. USA , vol.104 , pp. 16089-16103
    • Schuss, Z.1    Singer, A.2    Holcman, D.3
  • 16
    • 0142136727 scopus 로고    scopus 로고
    • Potential and field singularity at a surface point charge
    • DOI 10.1063/1.1605497
    • A. S. Silbergleit, I. Mandel, and I. M. Nemenman, Potential and field singularity at a surface point charge, J. Math. Phys., 44 (2003), pp. 4460-4466. (Pubitemid 37268888)
    • (2003) Journal of Mathematical Physics , vol.44 , Issue.10 , pp. 4460-4466
    • Silbergleit, A.1    Mandel, I.2    Nemenman, I.3
  • 17
    • 33644532542 scopus 로고    scopus 로고
    • Narrow escape, part II: The circular disk
    • DOI 10.1007/s10955-005-8027-5
    • A. Singer, Z. Schuss, and D. Holcman, Narrow escape, Part II: The circular disk, J. Stat. Phys., 122 (2006), pp. 465-489. (Pubitemid 43305571)
    • (2006) Journal of Statistical Physics , vol.122 , Issue.3 , pp. 465-489
    • Singer, A.1    Schuss, Z.2    Holcman, D.3
  • 18
    • 57049089336 scopus 로고    scopus 로고
    • Narrow escape and leakage of Brownian particles
    • article 051111
    • A. Singer, Z. Schuss, and D. Holcman, Narrow escape and leakage of Brownian particles, Phys. Rev. E, 78 (2009), article 051111.
    • (2009) Phys. Rev. e , vol.78
    • Singer, A.1    Schuss, Z.2    Holcman, D.3
  • 20
    • 0001554628 scopus 로고
    • A rate process with an entropy barrier
    • Z. Zwanzig, A rate process with an entropy barrier, J. Chem. Phys., 94 (1991), pp. 6147-6152.
    • (1991) J. Chem. Phys. , vol.94 , pp. 6147-6152
    • Zwanzig, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.