INCOHERENT INELASTIC NEUTRON SCATTERING AND SELF-DIFFUSION

Journal Article · Wed Jan 01 04:00:00 EST 1964 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.133.A50· OSTI ID:4117950

Zwanzig, R

The cross section for incoherent inelastic scattering of neutrons by a many-body system is shown to be related to the real part of a generalized self- diffusion coefficient. The latter quantity is defined as the transport coefficient in the extension of Fick's law of diffusion to arbitrary space-time variations of the driving force. The derivation is based on the fluctuation- dissipation theorem, in a form given by Kubo, and on a treatment of conventional selfdiffusion due to Montroll. Previous results, given by Vineyard and by Singwi, Sjolander, and Rahman, are shown to be special cases of the present result. (auth)

• Research Organization: National Bureau of Standards, Washington, D.C.
• NSA Number: NSA-18-006149
• OSTI ID: 4117950
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 133; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
CROSS SECTIONS
DIFFUSION
FICK LAW
INTERACTIONS
KUBO FORMULA
MANY BODY PROBLEM
MATHEMATICS
NEUTRONS
PHYSICS
SCATTERING
TRANSPORT THEORY
VARIATIONS