A5062266428- Theoretical and Computational Physics
- Stochastic processes and statistical mechanics
- Material Dynamics and Properties
- Quantum many-body systems
- Quantum and electron transport phenomena
- Geology and Paleoclimatology Research
- Quantum chaos and dynamical systems
- Quasicrystal Structures and Properties
- Astro and Planetary Science
- Isotope Analysis in Ecology
- Geological and Geochemical Analysis
- Granular flow and fluidized beds
- Opinion Dynamics and Social Influence
- Diffusion and Search Dynamics
- Advanced Thermodynamics and Statistical Mechanics
- Complex Network Analysis Techniques
- Spectroscopy and Quantum Chemical Studies
- Statistical Mechanics and Entropy
- Complex Systems and Time Series Analysis
- Cold Atom Physics and Bose-Einstein Condensates
- Geochemistry and Elemental Analysis
- Groundwater and Isotope Geochemistry
- stochastic dynamics and bifurcation
- Random Matrices and Applications
- Paleontology and Stratigraphy of Fossils
CEA Paris-Saclay
2016-2025
Commissariat à l'Énergie Atomique et aux Énergies Alternatives
2016-2025
Centre National de la Recherche Scientifique
2016-2025
Institut de Physique Théorique
2016-2025
Université Paris-Saclay
2015-2024
Université de Montpellier
1995-2016
Laboratoire HydroSciences Montpellier
2003-2016
Géosciences Montpellier
2002-2015
Chalmers University of Technology
2003
Purple Mountain Observatory
2001
Abstract We review theoretical and experimental studies of the AC dielectric response inhomogeneous materials, modelled as bond percolation networks, with a binary (conductor-dielectric) distribution conductances. first summarize key results theory, concerning mostly geometrical static (DC) transport properties, emphasis on scaling properties critical region around threshold. The frequency-dependent (AC) general model is then studied by means various approaches, including effective-medium...
The relationship between geometry and physical properties of aperiodic structures is investigated by considering the example tight-binding Schr\"odinger equation in one dimension, where site potentials are given an arbitrary deterministic sequence. In a perturbative analysis integrated density states, gaps energy spectrum can be ``labeled'' singularities Fourier transform sequence potentials. This approach confirms known quasiperiodic almost-periodic systems, suggests extension them to more...
The frequency dependence of viscoelastic properties a branched polymer sample near its gelation threshold has been studied in oscillatory measurements. results are agreement with De Gennes' analogy relating the critical behaviour elastic moduli G' and G'' to electrical conductivity percolation clusters. In particular increase both (0.1 10 Hz) can be described by power laws common exponent u = t/s + t, loss angle δ assumes point universal value δc πu/2 (t s denote, respectively, exponents...
We define a new class of random walk processes which maximize entropy. This maximal entropy is equivalent to generic if it takes place on regular lattice, but not the underlying lattice irregular. In particular, we consider with weak dilution. show that stationary probability finding particle performing localizes in largest nearly spherical region free defects. localization phenomenon, purely classical nature, explained terms Lifshitz states certain operator.
The Os isotopic compositions of twelve ultramafic and six mafic layer samples from the Ronda Ultramafic Complex southern Spain have been determined. Among rocks, 187Os/186Os varies 0.98 to 1.12. A weak correlation is observed between Re/Os. much stronger exists ratio Mg#, suggesting that Re/Os ratios perturbed some extent. Two alternatives are proposed explain relationship composition Mg#: (1) Continuous processes in convecting mantle; (2) Radiogenic ingrowth since an ancient melt depletion...
As a result of the radioactive decay rhenium-187 (4.6 × 10 years) osmium-187/osmium-186 ratio changes in planetary systems as function time and rhenium-187/osmium-186 ratio. For value about 3.2, typical meteorites earth's mantle, present-day is 1. The continental crust has an estimated 400, so that for mean age continent 2 9 years, expected. Marine manganese nodules show values (6 to 8.4) compatible with this expectation if allowance 25 percent mantle osmium supply oceans allowed....
We study the dynamic evolution of a bouncing ball on vibrating platform, such as membrane loudspeaker, function its coefficient restitution \ensuremath{\alpha} and demonstrate primarily that presence chaos in this system is by no means inevitable development obvious. Indeed, we show generic trajectories starting under experimental conditions terminate region ``chattering'' (where memory earlier dynamics lost), before repeating themselves periodic way. As consequence, except possibly for...
We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. show that these are aging in long-time regime, i.e., two-time autocorrelation and response functions associated fluctuation-dissipation ratio non-trivial scaling both time variables. This is exemplified by exact analysis spherical model any dimension D>2, numerical simulations on two-dimensional Ising model. particular that, for $1\ll s$ (waiting time) $\ll t$ (observation time),...
We investigate statistical-mechanical models on aperiodic structures (e.g. quasi-periodic, random, self-similar). derive a condition for the relevance of any kind aperiodicity near continuous phase transition, in spirit Harris criterion. This explains why crystals and quasi-crystals exhibit same critical behaviour. Novel universality classes phenomena are predicted with unbounded geometrical fluctuations, whenever their wandering exponent exceeds model-dependent threshold value.
We consider a ball under the influence of gravity on vibrating platform where ball-platform collisions are completely inelastic. present for first time several remarkable features in temporal behavior system; its phase space is divided into transmitting and absorbing regions, which responsible abrupt termination period-doubling sequence onset locking regime, an appropriately defined winding number has intriguing scaling properties.
We investigate the non-equilibrium two-time correlation and response functions associated fluctuation-dissipation ratio for ferromagnetic Ising chain with Glauber dynamics. The scaling behaviour of these quantities at low temperature large times is studied in detail. This analysis encompasses self-similar domain-growth (aging) regime, spatial temporal Porod regimes, convergence toward equilibrium. admits a non-trivial limit value X = ½ zero temperature, more generally aging regime.
We use simple models (the Ising model in one and two dimensions, the spherical arbitrary dimension) to put test some recent ideas on slow dynamics of nonequilibrium systems. In this review focus is temporal evolution two-time quantities violation fluctuation-dissipation theorem, with special emphasis given critical dynamics.
The authors propose to use multifractal analysis in reciprocal space as a tool characterise, statistical and global sense, the nature of Fourier transform geometrical models for atomic structures. This approach is especially adequate shedding some new light on class structures introduced recently, which exhibit 'singular scattering'. Using language measure theory, intensity these presumably singular continuous, therefore represents an intermediate type order, between periodic or...
The authors consider the random variable: z=1+x1+x1x2+x1x2x3+ . , where xi are independent, identically distributed variables. They derive some asymptotic properties of distribution z, which related e.g. to low-temperature behaviour field Ising chain. For a special class distributions xi, exact solutions presented. also study cases function z exhibits power-law fall-off modulated by 'periodic critical amplitude'.