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The mathematical th...
The mathematical theory of Ito diffusions on hypersurfaces, with applications to NMR relaxation problems
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Persson, Leif (author)
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- Cegrell, Urban (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Usova, N (author)
- Umeå universitet,Kemiska institutionen
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- Westlund, Per-Olof (author)
- Umeå universitet,Kemiska institutionen
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(creator_code:org_t)
- New York : Kluwer Academic Publishers, 2002
- 2002
- English.
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In: Journal of Mathematical Chemistry. - New York : Kluwer Academic Publishers. - 0259-9791 .- 1572-8897. ; 31:1, s. 65-89
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- A mathematical framework for translational Brownian motion on hypersurfaces is presented, using an imbedding of the surface and Ito diffusions in the ambient space. This includes a survey of Ito calculus and differential geometry. Computational methods for time correlation functions relevant to spin relaxation studies on curved interfaces are given, and explicit calculations of time correlation functions and order parameters for a “Rippled” surface are presented.
Subject headings
- NATURVETENSKAP -- Kemi (hsv//swe)
- NATURAL SCIENCES -- Chemical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Ito diffusion
- Brownian motion
- hypersurface
- relaxation theory
- correlation function
Publication and Content Type
- ref (subject category)
- art (subject category)
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