University of Illinois Urbana-Champaign

Atomistic quantum dynamics: implementation and applications of the quantum-classical path integral method

Allen, Thomas Carlton

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ALLEN-DISSERTATION-2016.pdf

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https://hdl.handle.net/2142/92820

Description

Title
Atomistic quantum dynamics: implementation and applications of the quantum-classical path integral method
Author(s)
Allen, Thomas Carlton
Issue Date
2016-07-13
Director of Research (if dissertation) or Advisor (if thesis)
Makri, Nancy
Doctoral Committee Chair(s)
Makri, Nancy
Committee Member(s)
  • Hammes-Schiffer, Sharon
  • Hirata, So
  • Wagner, Lucas
Department of Study
Chemistry
Discipline
Chemical Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2016-11-10T17:55:00Z
Keyword(s)
  • Quantum Dynamics
  • Charge Transfer
Abstract
Understanding reactivity is a central goal of chemical physics, and investigations in the condensed phase are particularly important for many applications, including biochemical cycles and materials science. However, theoretical progress toward an improved understanding of chemistry in such environments can be hampered by the need for both a quantum mechanical treatment for the reactive degrees of freedom, along with a classical description of the environment, since it is typically too complex for quantum dynamical simulation to be feasible. To address these difficulties, a number of mixed quantum-classical methods have been proposed, beginning with averaged-force approaches in the earliest days of quantum theory and continuing through many new variations and improvements. Unfortunately, owing to the differences between quantum and classical mechanics, most such methods must resort to ad hoc assumptions in order to successfully combine the quantum and classical degrees of freedom in a unified description. Recently, our group has started from the path integral formulation of quantum theory and derived a completely rigorous mixed quantum-classical method, which requires no ad hoc elements and can be applied to arbitrary solvent environments. In this work, the quantum-classical path integral approach is described, along with many of the improvements to the theory which allow it to be efficiently applied to simulation of large chemical systems. As specific examples of the power of the method for atomistic simulation, application to the Azzouz-Borgis model of proton transfer is discussed, along with results from the simulation of electron transfer in a bacterial photosynthetic reaction center. Strategies for connecting simpler harmonic models to fully atomistic molecular dynamics simulations are also considered and discussed in the context of extending the domain of rigorous quantum dynamical simulations to challenging problems of contemporary interest.
Graduation Semester
2016-08
Type of Resource
text
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http://hdl.handle.net/2142/92820
Copyright and License Information
Copyright 2016 Thomas Allen

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Graduate Theses and Dissertations at Illinois