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Volumn 93, Issue 12, 2004, Pages

Superdiffusion on a comb structure

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; ELECTROPHORESIS; FOURIER TRANSFORMS; FUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PROBLEM SOLVING; TRANSPORT PROPERTIES;

EID: 19644380864     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.120603     Document Type: Article
Times cited : (105)

References (35)
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  • 9
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    • World Scientific, Singapore
    • P. Grigolini, Quantum Irreversibility and Measurement (World Scientific, Singapore, 1993); P. Grigolini, Chaos - The Interplay between Stochastic and Deterministic Behavior, Lecture Notes in Physics Vol. 457 (Springer-Verlag, Berlin, 1995).
    • (1993) Quantum Irreversibility and Measurement
    • Grigolini, P.1
  • 10
    • 0005205960 scopus 로고
    • Chaos - The interplay between stochastic and deterministic behavior
    • Springer-Verlag, Berlin
    • P. Grigolini, Quantum Irreversibility and Measurement (World Scientific, Singapore, 1993); P. Grigolini, Chaos - The Interplay between Stochastic and Deterministic Behavior, Lecture Notes in Physics Vol. 457 (Springer-Verlag, Berlin, 1995).
    • (1995) Lecture Notes in Physics , vol.457
    • Grigolini, P.1
  • 15
    • 0036830088 scopus 로고    scopus 로고
    • A.V. Chechkin et al., Chem. Phys. 284, 233 (2002); J. Stat Phys. 115, 1505 (2004).
    • (2002) Chem. Phys. , vol.284 , pp. 233
    • Chechkin, A.V.1
  • 16
    • 3543074105 scopus 로고    scopus 로고
    • A.V. Chechkin et al., Chem. Phys. 284, 233 (2002); J. Stat Phys. 115, 1505 (2004).
    • (2004) J. Stat Phys. , vol.115 , pp. 1505
  • 18
    • 0001459540 scopus 로고    scopus 로고
    • edited by I. Prigogine and S. A. Rice (John Wiley, New York)
    • R. Hilfer, in Advanced in Chemical Physics, edited by I. Prigogine and S. A. Rice (John Wiley, New York, 1996), Vol. XOII. p. 299.
    • (1996) Advanced in Chemical Physics , vol.XOII , pp. 299
    • Hilfer, R.1
  • 22
    • 7044268336 scopus 로고    scopus 로고
    • A. Iomin et al., q-bio.TO/0406001
    • A. Iomin et al., q-bio.TO/0406001.
  • 25
    • 7044271512 scopus 로고    scopus 로고
    • A. Iomin and E. Baskin, cond-mat/0405089
    • A. Iomin and E. Baskin, cond-mat/0405089.
  • 26
    • 7044230249 scopus 로고    scopus 로고
    • note
    • We can consider the total distribution function G̃(t, x) = ∫f dyG(t, x, y), which corresponds to the continuous time random walk model [8] with conservation of the total number of particles. Nevertheless, we prefer to consider G(t, x, 0), since it is a more relevant value for practical applications [13].
  • 27
    • 7044279458 scopus 로고    scopus 로고
    • note
    • Because of a change of a cross section area of pipes or vessels in lymphatic or vascular systems [20], or to external potentials of special forms [14], for example, this could be possible.
  • 28
    • 7044263587 scopus 로고    scopus 로고
    • note
    • This simplification corresponds to a Liouville-Green asymptotic [27]. It means that the solution (7) is valid for the large scale x ≫ D̃/D.
  • 30
    • 85088489459 scopus 로고    scopus 로고
    • note
    • s > 0.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.