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Volumn 73, Issue 4, 2005, Pages 308-314

Diffusion in a half-space: From Lord Kelvin to path integrals

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EID: 17444424589     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1842734     Document Type: Article
Times cited : (19)

References (23)
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    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • R. Metzler and J. Klafter, "The random walk's guide to anomalous diffusion: A fractional dynamics approach," Phys. Rep. 339, 1 -77 (2000).
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    • note
    • A more concise term is random flight, but we will use the term, random walk, because it is more widely known, and the difference between the two is unimportant throughout this paper.
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    • (Dover, New York), the English translation of the famous Théorie Analytique de la Chaleur, first published in 1822
    • J. B. J. Fourier, The Analytical Theory of Heat (Dover, New York, 1955), the English translation of the famous Théorie Analytique de la Chaleur, first published in 1822.
    • (1955) The Analytical Theory of Heat
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  • 7
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    • note
    • It is straightforward to verify that reflecting boundary conditions correspond to a positive image.
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    • note
    • The exact form of C(r,N) for a self-avoiding polymer is not known. Thus, γ is calculated either numerically or by renormalization group methods.
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    • Stochastic problems in physics and astronomy
    • S. Chandrasekhar, "Stochastic problems in physics and astronomy," Rev. Mod. Phys. 15, 1-89 (1943).
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    • Chandrasekhar, S.1
  • 16
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    • Proper accounting of conformations of a polymer near a surface
    • E. A. DiMarzio, "Proper accounting of conformations of a polymer near a surface." J. Chem. Phys. 42, 2101-2106 (1965).
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  • 17
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    • note
    • In real macromolecules, the relative orientations of neighboring monomers are correlated. These correlations typically decay exponentially along the polymer over a distance called the persistence length.
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    • Surface phase-transitions in polymer systems
    • K. De'Bell and T. Lookman, "Surface phase-transitions in polymer systems," Rev. Mod. Phys. 65, 87-113 (1993).
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    • Test of renormalization-group crossover dependence - Comparison with exact solution for a polymer attached to a penetrable interacting hypersurface
    • J. F. Douglas, S. Q. Wang, and K. F. Freed, "Test of renormalization-group crossover dependence - comparison with exact solution for a polymer attached to a penetrable interacting hypersurface," Macromolecules 19, 2207-2220 (1986).
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    • Polymer-polymer and polymer-surface excluded volume effects in flexible polymers attached to an interface - Comparison of renormalization-group calculations with Monte Carlo and direct enumeration data
    • J. F. Douglas, A. M. Nemirovsky, and K. F. Freed, "Polymer-polymer and polymer-surface excluded volume effects in flexible polymers attached to an interface - comparison of renormalization-group calculations with Monte Carlo and direct enumeration data," Macromolecules 19, 2041-2054 (1986).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.