165 citations · 727 across the 11 of their papers we have counts for
11 papers
Guiding-fields for phase-separation: Controlling Liesegang patterns
Tibor Antal, Ioana Bena, Michel Droz +2
Liesegang patterns emerge from precipitation processes and may be used to build bulk structures at submicron lengthscales. Thus they have significant potential for technological ap…
Reaction-diffusion fronts with inhomogeneous initial conditions
Ioana Bena, Michel Droz, Kirsten Martens +1
Properties of reaction zones resulting from A+B -> C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated init…
Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
Ioana Bena, Michel Droz, Adam Lipowski
Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an…
Phase Transitions and Oscillations in a Lattice Prey-Predator Model
Tibor Antal, Michel Droz
A coarse grained description of a two-dimensional prey-predator system is given in terms of a 3-state lattice model containing two control parameters: the spreading rates of preys…
Formation of Liesegang patterns: A spinodal decomposition scenario
T. Antal, M. Droz, J. Magnin +1
Spinodal decomposition in the presence of a moving particle source is proposed as a mechanism for the formation of Liesegang bands. This mechanism yields a sequence of band positio…
Liesegang patterns : Studies on the width law
M. Droz, J. Magnin, M. Zrinyi
The so-called "width law" for Liesegang patterns, which states that the positions x_n and widths w_n of bands verify the relation x_n \sim w_n^α for some α>0, is investigated both…
Liesegang patterns: Effect of dissociation of the invading electrolyte
B. Chopard, M. Droz, J. Magnin +2
The effect of dissociation of the invading electrolyte on the formation of Liesegang bands is investigated. We find, using organic compounds with known dissociation constants, that…
Derivation of the Matalon-Packter law for Liesegang patterns
T. Antal, M. Droz, J. Magnin +2
Theoretical models of the Liesegang phenomena are studied and simple expressions for the spacing coefficients characterizing the patterns are derived. The emphasis is on displaying…
On the universality of a class of annihilation-coagulation models
Daniele Balboni, Pierre-Antoine Rey, Michel Droz
A class of -dimensional reaction-diffusion models interpolating continuously between the diffusion-coagulation and the diffusion-annihilation models is introduced. Exact relatio…
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas
Michel Droz, Pierre-Antoine Rey, Laurent Frachebourg +1
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity di…
Dynamic Multiscaling of the Reaction-Diffusion Front for mA+nB ->0
Stephen Cornell, Zbigniew Koza, Michel Droz
We consider the reaction zone that grows between separated regions of diffusing species and that react according to , within the framework of the mean-fieldlike…