Techniques for Phonon Superposition Modeling of Shocks and Waves in Solids Research Area 3: Mathematics - Numerical Analysis

Abstract

A new approach for modeling phonons will be developed and the modeling errors will be estimated and determined numerically. The approach targets the study of non-equilibrium processes and is based on fundamental principles of quantum field theory as applied to phonons. The new computational methods will be developed and their solutions compared to solutions from an equilibrium-based approach which is representative of methods based on the Boltzmann Transport Equation. The possible advance enabled by capability of studying nonequilibrium phonons is the modeling of mechanical processes such as shock loading at mesoscopic length scales built-up from nanoscopic information.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 2019
Accession Number
AD1074927

Entities

People

  • Peter W Chung

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Advanced Electronics
  • Sensors

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boltzmann Equation
  • Brillouin Zones
  • Computational Mechanics
  • Computational Science
  • Congress
  • Energetic Materials
  • Engineering
  • Equations
  • Field Effect Transistors
  • Heat Transfer
  • Maryland
  • Mass Transfer
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Mechanics
  • Numerical Analysis
  • Thermal Conductivity
  • Theses
  • Universities

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Semiconductor Device Technology

Technology Areas

  • Quantum Computing