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A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase./
Author:	Pierre, Sadrach.
Description:	1 online resource (112 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Contained By:	Dissertation Abstracts International79-10B(E).
Subject:	Computational chemistry. -
Online resource:	click for full text (PQDT)
ISBN:	9780438027046

A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase.
Pierre, Sadrach.

A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase. - 1 online resource (112 pages)

Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.

Thesis (Ph.D.)--Cornell University, 2018.

Includes bibliographical references

The accurate description of the coupled nuclear and electronic motion in large complex systems is necessary to inform the design of renewable energy devices. Treating many-body systems with exact quantum dynamics is typically intractable due to the exponential scaling of quantum mechanics. It is therefore of theoretical interest to develop accurate approximate quantum dynamics methods that are able to capture the mechanisms and varying time scales of many-body systems, while retaining the favorable linear scaling of classical methods. The focus of this dissertation is the development and application of an approximate quantum dynamics method towards elucidating mechanisms in the condensed phase.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780438027046Subjects--Topical Terms:

1190332
Computational chemistry.
Index Terms--Genre/Form:

554714
Electronic books.

A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase.
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245 1 2 $a A Mapping-Variable Ring Polymer Molecular Dynamics Study of Multi-State Reaction Mechanisms in the Condensed Phase.
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300 $a 1 online resource (112 pages)
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500 $a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
500 $a Adviser: Nandini Ananth.
502 $a Thesis (Ph.D.)--Cornell University, 2018.
504 $a Includes bibliographical references
520 $a The accurate description of the coupled nuclear and electronic motion in large complex systems is necessary to inform the design of renewable energy devices. Treating many-body systems with exact quantum dynamics is typically intractable due to the exponential scaling of quantum mechanics. It is therefore of theoretical interest to develop accurate approximate quantum dynamics methods that are able to capture the mechanisms and varying time scales of many-body systems, while retaining the favorable linear scaling of classical methods. The focus of this dissertation is the development and application of an approximate quantum dynamics method towards elucidating mechanisms in the condensed phase.
520 $a The approximate quantum dynamic method of interest is based on the path integral representation of the quantum Boltzmann distribution. The quantum Boltzmann distribution describes the classical distribution of a "ring polymer" in an extended phase space. Mapping Variable RPMD (MV-RPMD) is an extension of RPMD that allows for the classical treatment of electronic state transitions by mapping discrete states to continuous phase-space variables and it employs classical trajectories to calculate real-time thermal correlation functions. We study the condensed phase reaction dynamics of a proton-coupled electron transfer (PCET) system and an electron transfer (ET) system using MV-RPMD.
520 $a We derive a more numerically stable quantum Boltzmann distribution in the MV-RPMD framework by invoking the symmetric Trotter approximation. We construct a four-state electron-proton system from a model PCET system bath model comprised of a proton double well coupled to two discrete electronic states. We establish bead convergence with significantly fewer beads than required in the original system. Further, in studying the mechanism of PCET we show that population dynamics generated from MV-RPMD trajectories can be used to accurately distinguish concerted and sequential PCET mechanisms. We verify the accuracy of PCET mechanisms predicted by MV-RPMD population dynamics by comparing against Fermi's Golden Rule and Kramers rate calculations.
520 $a It is known that RPMD is an approximation to the "ImF" version of semiclassical instanton theory when used to calculate reaction rates in the deep tunneling regime. This speaks to RPMD's accuracy in approximating reaction rates within this regime. In an effort to develop a nonadiabatic rate theory in the MV-RPMD framework, we apply the method towards the calculation of an MV-RPMD instanton configuration in a model two-state system and provide preliminary results. Knowledge of the MV-RPMD instanton can provide transition state information necessary for a nonadiabatic rate calculation. In this vein, following our instanton configuration calculations, we develop three new rate expressions, in terms of flux-side thermal correlation functions(TCF), in the MV-RPMD framework .
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Computational chemistry. $3 1190332
650 4 $a Computational physics. $3 1181955
650 4 $a Theoretical physics. $3 1180318
655 7 $a Electronic books. $2 local $3 554714
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710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Cornell University. $b Chemistry and Chemical Biology. $3 1190331
773 0 $t Dissertation Abstracts International $g 79-10B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10816624 $z click for full text (PQDT)