Authors:
- Nominated as an outstanding Ph.D. thesis by the Imperial College London, UK
- Provides detailed derivation of an exact equation of motion for defects and dislocations, with no recourse to elasticity theory
- Presents the introduction and application of new techniques in multiscale analysis applied to many-body stochastic dynamics in periodic systems
- Outlines novel methods for extracting the interaction of dislocations and defects with thermal vibrations in molecular dynamics simulation
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
About this book
This thesis is concerned with establishing a rigorous, modern theory of the stochastic and dissipative forces on crystal defects, which remain poorly understood despite their importance in any temperature dependent micro-structural process such as the ductile to brittle transition or irradiation damage.
The author first uses novel molecular dynamics simulations to parameterise an efficient, stochastic and discrete dislocation model that allows access to experimental time and length scales. Simulated trajectories are in excellent agreement with experiment. The author also applies modern methods of multiscale analysis to extract novel bounds on the transport properties of these many body systems.
Despite their successes in coarse graining, existing theories are found unable to explain stochastic defect dynamics. To resolve this, the author defines crystal defects through projection operators, without any recourse to elasticity. By rigorous dimensional reduction, explicit analytical forms are derived for the stochastic forces acting on crystal defects, allowing new quantitative insight into the role of thermal fluctuations in crystal plasticity.
Authors and Affiliations
-
Theory and Modelling, Culham Science Centre, Culham Centre for Fusion Energy, Oxfordshire, United Kingdom
Thomas D Swinburne
About the author
Masters and PhD in Theory and Simulation of Materials at Imperial College, London under Prof Adrian Sutton FRS and Prof Sergei Dudarev. Currently fusion research fellow at the Culham Centre for Fusion Energy.
Bibliographic Information
Book Title: Stochastic Dynamics of Crystal Defects
Authors: Thomas D Swinburne
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-20019-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-20018-7Published: 22 July 2015
Softcover ISBN: 978-3-319-37385-0Published: 17 October 2016
eBook ISBN: 978-3-319-20019-4Published: 13 July 2015
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XVIII, 100
Number of Illustrations: 5 b/w illustrations, 32 illustrations in colour
Topics: Solid State Physics, Complex Systems, Numerical and Computational Physics, Simulation, Statistical Physics and Dynamical Systems