17 citations · 72 across the 10 of their papers we have counts for
10 papers
The equilibrium phase in heterogeneous Hertzian chains
Michelle Przedborski, Surajit Sen, Thad A. Harroun
We examine the long-term behaviour of non-integrable, energy-conserved, 1D systems of macroscopic grains interacting via a contact-only generalized Hertz potential and held between…
Long wavelength solitary waves in Hertzian chains and their properties in different nonlinearity regimes
Stephen C. Anco, Michelle Przedborski
Properties of solitary waves in pre-compressed Hertzian chains of particles are studied in the long wavelength limit using a well-known continuum model. Several main results are ob…
Long-term behaviour of Hertzian chains between fixed walls is really equilibrium
Michelle Przedborski, Surajit Sen, Thad A. Harroun
We examine the long-term behaviour of non-integrable, energy-conserved, 1D systems of macroscopic grains interacting via a contact-only generalized Hertz potential and held between…
Fluctuations in Hertz chains at equilibrium
Michelle Przedborski, Surajit Sen, Thad A. Harroun
We examine the long-term behaviour of non-integrable, energy-conserved, 1D systems of macroscopic grains interacting via a contact-only generalized Hertz potential and held between…
Localizing energy in granular materials
Michelle A. Przedborski, Thad A. Harroun, Surajit Sen
A device for absorbing and storing short duration impulses in an initially uncompressed one-dimensional granular chain is presented. Simply stated, short regions of sufficiently so…
Granular chains with soft boundaries: Slowing the transition to quasi-equilibrium
Michelle Przedborski, Thad A. Harroun, Surajit Sen
We present here a detailed numerical study of the dynamical behaviour of `soft' uncompressed grains in a granular chain where the grains interact via the intrinsically nonlinear He…
Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains
Michelle Przedborski, Stephen C. Anco
A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, discrete, homogeneous chains with a general power-la…
Absence of phase transition in the XY-model on Menger sponge
M. A. Przedborski, B. Mitrovic
We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with inf…
Interaction between domain walls in chiral p-wave superconductors
M. A. Przedborski, K. V. Samokhin
We calculate microscopically the interaction energy of domain walls separating degenerate ground states in a chiral p-wave superconductor. The interaction is mediated by the quasip…
The absence of phase transition for the classical XY-model on Sierpinski pyramid with fractal dimension D=2
Michelle Przedborski, Bozidar Mitrovic
For the spin models with continuous symmetry on regular lattices and finite range of interactions the lower critical dimension is d=2. In two dimensions the classical XY-model disp…