Abstract
In this chapter I will give the fundamental concepts to describe diffusion on the atomic level, with special consideration to the case of diffusion on a lattice. For reasons of conceptual simplicity this chapter will stay abstract.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Diffusion on a surface would be a physically relevant case of diffusion on a lower-dimensional lattice.
References
C. Caronna, Y. Chushkin, A. Madsen, A. Cupane, Dynamics of nanoparticles in a supercooled liquid. Phys. Rev. Lett. 100, 055702 (2008)
C.T. Chudley, R.J. Elliott, Neutron scattering from a liquid on a jump diffusion model. Proc. Phys. Soc. Lond. 77, 353 (1961)
P.C. Clapp, S.C. Moss, Correlation functions of disordered binary alloys. I. Phys. Rev. 142, 418 (1966)
B.A. Dasannacharya, K.R. Rao, Neutron scattering from liquid argon. Phys. Rev. 137, A417 (1965)
P.G. de Gennes, Liquid dynamics and inelastic scattering of neutrons. Physica 25, 825 (1959)
M.A. Krivoglaz, The effect of diffusion on the scattering of neutrons and photons by crystal imperfections and on the Mössbauer effect. Sov. Phys. JETP 13, 1273 (1961)
R. Kutner, I. Sosnowska, Thermal neutron scattering from a hydrogen-metal system in terms of a general multi-sublattice jump diffusion model–I: theory. J. Phys. Chem. Solids 38, 741 (1977)
M. Leitner, G. Vogl, Quasi-elastic scattering under short-range order: the linear regime and beyond. J. Phys. Condens. Matter 23, 254206 (2011)
O.G. Randl, B. Sepiol, G. Vogl, R. Feldwisch, K. Schroeder, Quasielastic Mössbauer spectroscopy and quasielastic neutron scattering from non-Bravais lattices with differently occupied sublattices. Phys. Rev. B 49, 8768 (1994)
J.M. Rowe, K. Sköld, H.E. Flotow, J.J. Rush, Quasielastic neutron scattering by hydrogen in the \(\alpha\) and \(\beta\) phases of vanadium hydride. J. Phys. Chem. Solids 32, 41 (1971)
S.K. Sinha, D.K. Ross, Self-consistent density response function method for dynamics of light interstitials in crystals. Physica B 149, 51 (1988)
L. van Hove, Correlations in space and time and born approximation scattering in systems of interacting particles. Phys. Rev. 95, 249 (1954)
G.H. Vineyard, Frequency factors and isotope effects in solid state rate processes. J. Phys. Chem. Solids 3, 121 (1957)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Leitner, M. (2012). Theory. In: Studying Atomic Dynamics with Coherent X-rays. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24121-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-24121-5_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24120-8
Online ISBN: 978-3-642-24121-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)