13 citations · 53 across the 11 of their papers we have counts for
11 papers
Anisotropic Thermalization in Far-from-Equilibrium Flows
Arnab Debnath, Timothy Breitzman, Kaushik Dayal
We present a deterministic discontinuous Galerkin (DG) finite-element solution of the Boltzmann equation, without moment-closure approximations, under a class of far-from-equilibri…
Two-Scale Analysis of the Electrostatics of Dielectric Crystals: Emergence of Polarization Density and Boundary Charges
Shoham Sen, Yang Wang, Timothy Breitzman +1
Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An impo…
Nonlocal Electrostatics and Boundary Charges in Continuum Limits of Two-Dimensional Materials
Shoham Sen, Yang Wang, Timothy Breitzman +1
Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from…
Dipolar Self-Interactions Drive Polymer Chain Collapse
Pratik Khandagale, Gal deBotton, Timothy Breitzman +2
We report that a dielectric polymer chain, constrained at both ends, sharply collapses when exposed to a high electric field. The chain collapse is driven by nonlocal dipolar inter…
Nonuniqueness in Defining the Polarization: Nonlocal Surface Charges and the Electrostatic, Energetic, and Transport Perspectives
Shoham Sen, Yang Wang, Timothy Breitzman +1
Ionic crystals play a central role in functional applications. Mesoscale descriptions of these crystals are based on the continuum polarization density field to represent the effec…
Statistical Field Theory of Polarizable Polymer Chains with Nonlocal Dipolar Interactions
Pratik Khandagale, Carlos Garcia-Cervera, Gal deBotton +3
The electromechanical response of polymeric soft matter to applied electric fields is of fundamental scientific interest as well as relevant to technologies for sensing and actuati…
Statistical field theory for nonlinear elasticity of polymer networks with excluded volume interactions
Pratik Khandagale, Timothy Breitzman, Carmel Majidi +1
Polymer networks formed by cross linking flexible polymer chains are ubiquitous in many natural and synthetic soft-matter systems. Current micromechanics models generally do not ac…
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures
Prashant K. Jha, Timothy Breitzman, Kaushik Dayal
We consider electrostatic interactions in two classes of nanostructures embedded in a three dimensional space: (1) helical nanotubes, and (2) thin films with uniform bending (i.e.,…
Multiband homogenization of metamaterials in real-space: Higher-order nonlocal models and scattering at external surfaces
Kshiteej Deshmukh, Timothy Breitzman, Kaushik Dayal
This work develops a dynamic homogenization approach for metamaterials. It finds an approximate macroscopic homogenized equation with constant coefficients posed in space and time;…
Phase-Field Modeling and Peridynamics for Defect Dynamics, and an Augmented Phase-Field Model with Viscous Stresses
Janel Chua, Vaibhav Agrawal, Timothy Breitzman +2
This work begins by applying peridynamics and phase-field modeling to predict 1-d interface motion with inertia in an elastic solid with a non-monotone stress-strain response. In c…
Symmetry-Adapted Tight-Binding Electronic Structure Analysis of Carbon Nanotubes with Defects, Kinks, Twist, and Stretch
Soumya Mukherjee, Hossein Pourmatin, Yang Wang +2
This paper applies a symmetry-adapted method to examine the influence of deformation and defects on the electronic structure and band structure in carbon nanotubes. First, the symm…