105 citations · 481 across the 18 of their papers we have counts for
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Glassy Roughness of a Crystalline Surface Upon a Disordered Substrate
D. Cule, Y. Shapir
The discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is studied by Monte Carlo simulations. A continuous transition is found from a phase wi…
Non-Ergodic Dynamics of the 2D Random-phase Sine-Gordon Model: Applications to Vortex-Glass Arrays and Disordered-Substrate Surfaces
D. Cule, Y. Shapir
The dynamics of the random-phase sine-Gordon model, which describes 2D vortex-glass arrays and crystalline surfaces on disordered substrates, is investigated using the self-consist…
Dynamics of Particles Deposition on a Disordered Substrate: II. Far-from Equilibrium Behavior. -
Yan-Chr Tsai, Yonathan Shapir
The deposition dynamics of particles (or the growth of a rigid crystal) on a disordered substrate at a finite deposition rate is explored. We begin with an equation of motion which…
Dynamics of Particle Deposition on a Disordered Substrate: I. Near- Equilibrium Behavior
Yan-Chr Tsai, Yonathan Shapir
A growth model which describes the deposition of particles (or the growth of a rigid crystal) on a disordered substrate is investigated. The dynamic renormalization group is applie…
Scaling Phenomena in a Unitary Model of Directed Propagating Waves with Applications to One-Dimensional Electrons in a Time-Varying Potential
Dinko Cule, Yonathan Shapir
We study a 2D lattice model of forward-directed waves in which the integrated intensity for classical waves (or probability for quantum mechanical particles) is conserved. The mode…