The Gaussian Approximation Potential: An Interatomic Potential Derived from First Principles Quantum Mechanics

✍ Scribed by Albert Bartόk-Pártay (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010
Tongue: English
Leaves: 96
Series: Springer Theses
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Simulation of materials at the atomistic level is an important tool in studying microscopic structures and processes. The atomic interactions necessary for the simulations are correctly described by Quantum Mechanics, but the size of systems and the length of processes that can be modelled are still limited. The framework of Gaussian Approximation Potentials that is developed in this thesis allows us to generate interatomic potentials automatically, based on quantum mechanical data. The resulting potentials offer several orders of magnitude faster computations, while maintaining quantum mechanical accuracy. The method has already been successfully applied for semiconductors and metals.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-3
Representation of Atomic Environments....Pages 5-22
Gaussian Process....Pages 23-31
Interatomic Potentials....Pages 33-49
Computational Methods....Pages 51-56
Results....Pages 57-81
Conclusion and Further Work....Pages 83-84
Appendices....Pages 85-88

✦ Subjects

Solid State Physics;Theoretical, Mathematical and Computational Physics

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