The mathematical theory of Ito diffusions on hypersurfaces, with applications to NMR relaxation problems

• 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.

Ämnesord

NATURVETENSKAP  -- Kemi (hsv//swe)

NATURAL SCIENCES  -- Chemical Sciences (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Ito diffusion

Brownian motion

hypersurface

relaxation theory

correlation function

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)