Nonholonomic Hamiltonian Method for Reacting Molecular Dynamics

Nonholonomic Hamiltonian Method for Reacting Molecular Dynamics PDF Author: Joseph Louis Bass
Publisher:
ISBN:
Category :
Languages : en
Pages : 396

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Book Description
Macroscale, mesoscale, and ab initio models of reacting shock physics are based, in their most general forms, on rate law descriptions of the chemical processes of interest. Reacting molecular dynamics simulations, by contrast, typically employ potential functions (holonomic Hamiltonian methods) to model chemical reactions. An alternative approach to reacting molecular dynamics models the bonding-debonding process using a rate law, resulting in a nonholonomic Hamiltonian formulation. In previous work at macro and meso scales, discrete nonholonomic Hamiltonian methods have been applied to develop very general models of shock impact and fragmentation process. In this dissertation a similar nonholonomic modeling methodology is used, at the molecular scale, to explicitly model transient chemical processes. Note that the chemistry problem is much more difficult, since both dissociation (fragmentation) and the formation of new molecules must be modeled. The result is the first general reacting molecular dynamics formulation which explicitly models chemical kinetics. Simulation results using this method show good agreement with experiment, for energy release and detonation products in two widely used explosives (HMX and RDX). The reacting molecular dynamics simulation results are used to propose reaction mechanisms and species concentration based kinetics models suitable for use in meso and macro scale shock to detonation simulations. Computational modeling of energetic materials is capable of estimating molecular behavior under conditions not amenable to direct experimental measurement. Further development of RMD methods may help to provide a better understanding of energetic material behavior. This in turn may help to develop improved insensitive high energy density materials.

Nonholonomic Hamiltonian Method for Reacting Molecular Dynamics

Nonholonomic Hamiltonian Method for Reacting Molecular Dynamics PDF Author: Joseph Louis Bass
Publisher:
ISBN:
Category :
Languages : en
Pages : 396

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Book Description
Macroscale, mesoscale, and ab initio models of reacting shock physics are based, in their most general forms, on rate law descriptions of the chemical processes of interest. Reacting molecular dynamics simulations, by contrast, typically employ potential functions (holonomic Hamiltonian methods) to model chemical reactions. An alternative approach to reacting molecular dynamics models the bonding-debonding process using a rate law, resulting in a nonholonomic Hamiltonian formulation. In previous work at macro and meso scales, discrete nonholonomic Hamiltonian methods have been applied to develop very general models of shock impact and fragmentation process. In this dissertation a similar nonholonomic modeling methodology is used, at the molecular scale, to explicitly model transient chemical processes. Note that the chemistry problem is much more difficult, since both dissociation (fragmentation) and the formation of new molecules must be modeled. The result is the first general reacting molecular dynamics formulation which explicitly models chemical kinetics. Simulation results using this method show good agreement with experiment, for energy release and detonation products in two widely used explosives (HMX and RDX). The reacting molecular dynamics simulation results are used to propose reaction mechanisms and species concentration based kinetics models suitable for use in meso and macro scale shock to detonation simulations. Computational modeling of energetic materials is capable of estimating molecular behavior under conditions not amenable to direct experimental measurement. Further development of RMD methods may help to provide a better understanding of energetic material behavior. This in turn may help to develop improved insensitive high energy density materials.

Nonholonomic Hamiltonian Method for Multiscale Simulation of Reacting Shock Physics

Nonholonomic Hamiltonian Method for Multiscale Simulation of Reacting Shock Physics PDF Author: Sangyup Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 394

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Book Description
Multiscale methods which are systematic, computationally efficient, and applicable to a wide range of materials are needed to augment experimental research in the development of improved explosives and propellants. A variety of modeling methods have been applied to detonation simulation, but different model formulation techniques are normally used at each scale. This research has developed the first unified discrete Hamiltonian approach to multiscale simulation of reacting shock physics, using a nonholonomic methodology. The method incorporates general material and geometric nonlinearities, which are of central interest in reacting shock modeling applications. A new synchronous multiscale model has been formulated, which incorporates a macroscale Lagrangian particle-element model, a mesoscale Lagrangian finite element model, and a Lagrangian reacting molecular dynamics model. A new asynchronous multiscale model has been formulated, which incorporates a macroscale Eulerian finite element model, a mesoscale Lagrangian particle-element model, and a Lagrangian reacting molecular dynamics model. The asynchronous model includes new strategies to accommodate the large time and space disparities between scales, and has been validated in simulations which model shock to detonation in two widely used explosives.

Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics PDF Author: Stavros Farantos
Publisher: Springer
ISBN: 9783319099873
Category : Science
Languages : en
Pages : 0

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Book Description
This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are nonlinear dynamical systems, and thus, nonlinear mechanics is the proper theory to elucidate molecular dynamics by investigating invariant structures in phase space. Intramolecular energy transfer, and the breaking and forming of a chemical bond have now found a rigorous explanation by studying phase space structures.

Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics PDF Author: Stavros Farantos
Publisher: Springer
ISBN: 9783319099897
Category : Science
Languages : en
Pages : 158

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Book Description
This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are nonlinear dynamical systems, and thus, nonlinear mechanics is the proper theory to elucidate molecular dynamics by investigating invariant structures in phase space. Intramolecular energy transfer, and the breaking and forming of a chemical bond have now found a rigorous explanation by studying phase space structures.

Reaction and Molecular Dynamics

Reaction and Molecular Dynamics PDF Author: A. Lagana
Publisher: Springer Science & Business Media
ISBN: 9783540412021
Category : Science
Languages : en
Pages : 334

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Book Description
The amazing growth of computational resources has made possible the modeling of complex chemical processes. To develop these models one needs to proceed from rigorous theoretical methods to approximate ones by exploiting the potential of innovative architectural features of modern concurrent processors. This book reviews some of the most advanced theoretical approaches in the field of molecular reaction dynamics in order to cope as rigorously as possible with the complexity of real systems.

Theory of Chemical Reaction Dynamics

Theory of Chemical Reaction Dynamics PDF Author: Antonio Laganà
Publisher: Springer Science & Business Media
ISBN: 9781402020544
Category :
Languages : en
Pages : 524

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Book Description


Dynamics of Molecules and Chemical Reactions

Dynamics of Molecules and Chemical Reactions PDF Author: Robert Wyatt
Publisher: CRC Press
ISBN: 9780824795382
Category : Science
Languages : en
Pages : 692

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Book Description
Covers both molecular and reaction dynamics. The work presents important theroetical and computational approaches to the study of energy transfer within and between molecules, discussing the application of these approaches to problems of experimental interest. It also describes time-dependent and time-independent methods, variational and perturbative techniques, iterative and direct approaches, and methods based upon the use of physical grids of finite sets of basic function.

Methods in Reaction Dynamics

Methods in Reaction Dynamics PDF Author: W. Jakubetz
Publisher: Springer Science & Business Media
ISBN: 3642565115
Category : Science
Languages : en
Pages : 206

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Book Description
Methods in Reaction Dynamics is a collection of lectures given at the 1999 Mariapfarr Workshop in Theoretical Chemistry. Arranged as a series of detailed reviews, it provides an overview of quantum mechanical techniques used to describe and simulate the dynamics and kinetics of elementary chemical reactions. The volume provides in-depth discussions of selected topics in Theoretical Chemistry, such as quantum methods in theoretical and computational reaction dynamics and kinetics; time-dependent, time-independent and mixed quantum-classical techniques. Some of the topics have not been reviewed before in detail.

A Student's Guide to Lagrangians and Hamiltonians

A Student's Guide to Lagrangians and Hamiltonians PDF Author: Patrick Hamill
Publisher: Cambridge University Press
ISBN: 1107042887
Category : Mathematics
Languages : en
Pages : 185

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Book Description
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Computational Statistical Mechanics

Computational Statistical Mechanics PDF Author: W.G. Hoover
Publisher: Elsevier
ISBN: 0444596593
Category : Science
Languages : en
Pages : 330

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Book Description
Computational Statistical Mechanics describes the use of fast computers to simulate the equilibrium and nonequilibrium properties of gases, liquids, and solids at, and away from equilibrium. The underlying theory is developed from basic principles and illustrated by applying it to the simplest possible examples. Thermodynamics, based on the ideal gas thermometer, is related to Gibb's statistical mechanics through the use of Nosé-Hoover heat reservoirs. These reservoirs use integral feedback to control temperature. The same approach is carried through to the simulation and analysis of nonequilibrium mass, momentum, and energy flows. Such a unified approach makes possible consistent mechanical definitions of temperature, stress, and heat flux which lead to a microscopic demonstration of the Second Law of Thermodynamics directly from mechanics. The intimate connection linking Lyapunov-unstable microscopic motions to macroscopic dissipative flows through multifractal phase-space structures is illustrated with many examples from the recent literature. The book is well-suited for undergraduate courses in advanced thermodynamics, statistical mechanic and transport theory, and graduate courses in physics and chemistry.