Statistical mechanics of equilibrium and nonequilibrium phase transitions: the Yang–Lee formalism

I Bena, M Droz, A Lipowski - International Journal of Modern Physics …, 2005 - World Scientific
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 …

Cellular automata

B Chopard, M Droz - Modelling of Physical, 1998 - Springer
… University of Surrey, Guildford, UK Jon M. Kleinberg … Fabio M. Marchese … JA Stewart-Cox,
NF Britton, M. Mogie …

Reaction-diffusion processes, critical dynamics, and quantum chains

FC Alcaraz, M Droz, M Henkel, V Rittenberg - Annals of Physics, 1994 - Elsevier
… To various quotients of the Hecke algebra one can associate a representation given by the
(m/n) Perk~ Schultz quantum chain [22]. These are chains with (m+n)’" states invariant under …

Boltzmann and hydrodynamic description for self-propelled particles

E Bertin, M Droz, G Grégoire - Physical Review E, 2006 - APS
We study analytically the emergence of spontaneous collective motion within large bidimensional
groups of self-propelled particles with noisy local interactions, a schematic model for …

[BOOK][B] Introduction to the theory of metastable and unstable states

JD Gunton, M Droz - 1983 - Springer
… The configurations in the vicinity of c = m … The role of the two maxima m± is interchanged.
It is therefore … of a stable phase in a metastable background m(RR O) ÷ m+ as R ÷ ~. …

Noise and Extreme Value Statistics

T Antal, M Droz, G Györgyi, Z Rácz - Physical review letters, 2001 - APS
We study finite-size scaling of the roughness of signals in systems displaying Gaussian 1/f
power spectra. It is found that one of the extreme value distributions, the Fisher-Tippett-…

Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis

E Bertin, M Droz, G Grégoire - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
Considering a gas of self-propelled particles with binary interactions, we derive the hydrodynamic
equations governing the density and velocity fields from the microscopic dynamics, in …

Derivation of the Matalon-Packter law for Liesegang patterns

…, M Droz, J Magnin, Z Rácz, M Zrinyi - The Journal of chemical …, 1998 - pubs.aip.org
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 …

Cellular automata model for the diffusion equation

B Chopard, M Droz - Journal of statistical physics, 1991 - Springer
We consider a new cellular automata rule for a synchronous random walk on a two-dimensional
square lattice, subject to an exclusion principle. It is found that the macroscopic …

Formation of Liesegang patterns: a spinodal decomposition scenario

T Antal, M Droz, J Magnin, Z Rácz - Physical review letters, 1999 - APS
… The magnetization m is related to the density c of C particles through m … (experiments in
long test tubes), ie, we shall assume that m and S depend only on a single spatial coordinate, m