Reaction-diffusion processes and non-perturbative renormalisation group

This paper is devoted to investigating non-equilibrium phase transitions to an absorbing state, which are generically encountered in reaction-diffusion processes. It is a review, based on [Phys. Rev. Lett. 92, 195703; Phys. Rev. Lett. 92, 255703; Phys. Rev. Lett. 95, 100601], of recent progress in this field that has been allowed by a non-perturbative renormalisation group approach. We mainly focus on branching and annihilating random walks and show that their critical properties strongly rely on non-perturbative features and that hence the use of a non-perturbative method turns out to be crucial to get a correct picture of the physics of these models.Comment: 14 pages, submitted to J. Phys. A for the proceedings of the conference 'Renormalization Group 2005', Helsink

A flexible route to new spirodioxanes, oxathianes and morpholines

International audienceThis work describes a modular efficient route to 10-aza-4-thia-, 10-aza-4-oxa-, and 10-oxa-4-thia-1,7-dioxaspiro[5.5]undecanes. The synthetic pathway relies upon the iterative nucleophilic substitution of 1,3-dichloropropan-2-one O-benzyloxime by solketal derivatives. The oxime key-intermediates, submitted to an acidic deprotection–spiroacetalization process, afforded these original spiroketal compounds in three steps, few purifications, and very good yields

Influence of deformation rate and degree of compression on textural parameters of potato and apple tissues in texture profile analysis

The influence of the degree of compression, at deformation rates of 50, 250 and 500 mm min-1, on the textural parameters in the texture profile analysis (TPA) of cylindrical samples of potato and apple tissues was examined. The tests were performed at up to eight different deformation levels ranging from 10% to 80%. The values of all the parameters measured in the samples of both tissues were influenced more by the degree of compression than by the deformation rate. Degrees of compression greater than 40% and 20% caused the rupture of potato and apple specimens, respectively. Regression models were fitted to express the variation of cohesiveness and chewiness with deformation rate and degree of compression. In apple and potato tissues, the degree of compression had a quadratic effect on the cohesiveness while the effect of the deformation rate was only linear. Cohesiveness was the most appropriate textural parameter for detecting effects of deformation rate and degree of compression in TPA tests of potato and apple tissues. Recoverable instantaneous springiness offers a high potential to differentiate the structural natures of different tissues. © Springer-Verlag 2002.Peer Reviewe

Tunable plasmons in ultrathin metal films

The physics of electrons, photons, and their plasmonic interactions changes greatly when one or more dimensions are reduced down to the nanometer scale. For example, graphene shows unique electrical, optical, and plasmonic properties, which are tunable through gating or chemical doping. Similarly, ultrathin metal films (UTMFs) down to atomic thickness can possess new quantum optical effects, peculiar dielectric properties, and predicted strong plasmons. However, truly two-dimensional plasmonics in metals has so far elusive because of the difficulty in producing large areas of sufficiently thin continuous films. Thanks to a deposition technique that allows percolation even at 1 nm thickness, we demonstrate plasmons in few-nanometer gold UTMFs, with clear evidence of new dispersion regimes and large electrical tunability. Resonance peaks at 1.5-5 micrometer wavelengths are shifted by hundreds of nanometers and amplitude-modulated by tens of per cent through gating using relatively low voltages. The results suggest ways to use metals in plasmonic applications, such as electro-optic modulation, bio-sensing, and smart windows.Comment: 11 pages, 3 figure

Wilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion

With a view to study the convergence properties of the derivative expansion of the exact renormalization group (RG) equation, I explicitly study the leading and next-to-leading orders of this expansion applied to the Wilson-Polchinski equation in the case of the $N$-vector model with the symmetry $\mathrm{O}(N)$. As a test, the critical exponents $$ and $\nu$ as well as the subcritical exponent $\omega$ (and higher ones) are estimated in three dimensions for values of $N$ ranging from 1 to 20. I compare the results with the corresponding estimates obtained in preceding studies or treatments of other $\mathrm{O}(N)$ exact RG equations at second order. The possibility of varying $N$ allows to size up the derivative expansion method. The values obtained from the resummation of high orders of perturbative field theory are used as standards to illustrate the eventual convergence in each case. A peculiar attention is drawn on the preservation (or not) of the reparametrisation invariance.Comment: Dedicated to Lothar Sch\"afer on the occasion of his 60th birthday. Final versio

Near-field scanning optical microscopy to study nanometric structural details of LiNbO3 Zn-diffused channel waveguides

A near-field scanning optical microscope (NSOM) is used to perform structural and optical characterization of the surface layer after Zn diffusion in a channel waveguide fabricated on lithium niobate. A theoretical approach has been developed in order to extract refractive index contrast from NSOM optical transmission measurements (illumination configuration). As a result, different solid phases present on the sample surface can be identified, such as ZnO and ZnNb2O6. They appear like submicrometric crystallites aligned along the domain wall direction, whose origin can be ascribed to some strain relaxation mechanism during the annealing process after Zn [email protected]

Estudio Mineralógico de los Sediementos de las Cuencas de WAGNER y CONSAG. Golfo de California (México)

Las cuencas de Wagner y de Consag se encuentran localizadas en la parte más septentrional del Golfo de California (GC). Con una profundidad máxima de 216 m, son las cuencas más someras del golfo y presentan una actividad gasohidrotermal submarina intensa (Canet et al., 2008)

Mean-field analysis of the q-voter model on networks

We present a detailed investigation of the behavior of the nonlinear q-voter model for opinion dynamics. At the mean-field level we derive analytically, for any value of the number q of agents involved in the elementary update, the phase diagram, the exit probability and the consensus time at the transition point. The mean-field formalism is extended to the case that the interaction pattern is given by generic heterogeneous networks. We finally discuss the case of random regular networks and compare analytical results with simulations.Comment: 20 pages, 10 figure

Estudio mineralógico de los sedimentos de las cuencas de Wagner y Consag, Golfo de California (México)

Peer ReviewedPostprint (published version