9 citations · 20 across the 4 of their papers we have counts for
4 papers
Depinning as a coagulation process
Melih İşeri, David C. Kaspar, Muhittin Mungan
We consider a one-dimensional sandpile model which mimics an elastic string of particles driven through a strongly pinning periodic environment with phase disorder. The evolution t…
Scalar conservation laws with monotone pure-jump Markov initial conditions
David C. Kaspar, Fraydoun Rezakhanlou
In 2010 Menon and Srinivasan published a conjecture for the statistical structure of solutions to scalar conservation laws with certain Markov initial conditions, proposing a k…
Exact results for a toy model exhibiting dynamic criticality
David C. Kaspar, Muhittin Mungan
In this article we discuss an exactly solvable, one-dimensional, periodic toy charge density wave model introduced in [D.C. Kaspar, M. Mungan, EPL {\bf 103}, 46002 (2013)]. In part…
Subthreshold behavior and avalanches in an exactly solvable Charge Density Wave system
David C. Kaspar, Muhittin Mungan
We present a toy charge density wave (CDW) model in 1d exhibiting a depinning transition with threshold force and configurations that are explicit. Due to the periodic boundary con…