105 citations · 481 across the 18 of their papers we have counts for
10 papers · 1 filter
Ground-State Roughness of the Disordered Substrate and Flux Line in d=2
Chen Zeng, A. Alan Middleton, Y. Shapir
We apply optimization algorithms to the problem of finding ground states for crystalline surfaces and flux lines arrays in presence of disorder. The algorithms provide ground state…
Continuous Versus First Order Transitions in Compressible Diluted Magnets
Yonathan Shapir, Serge Galam
The interplay between disorder and compressibility in Ising magnets is studied. Contrary to pure systems in which a weak compressibility drives the transition first order, we find…
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…