Experimental realization of directed percolation criticality in turbulent liquid crystals (2009)
Takeuchi, Kazumasa A., Kuroda, Masafumi, Chaté, Hugues, Sano, Masaki
This is a comprehensive report on the phase transition between two turbulent states of electroconvection in nematic liquid crystals, which was recently found by the authors to be in the directed...
Lyapunov analysis captures the collective dynamics of large chaotic systems (2009)
Takeuchi, Kazumasa A., Ginelli, Francesco, Chaté, Hugues
We show, using generic globally-coupled systems, that the collective dynamics of large chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on a few degrees of...
Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation (2009)
Canet, Léonie, Chaté, Hugues, Delamotte, Bertrand, Wschebor, Nicolás
We present a simple approximation of the non-perturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram, including the...
Hyperbolicity and the effective dimension of spatially-extended dissipative systems (2008)
Yang, Hong-liu, Takeuchi, Kazumasa A., Ginelli, Francesco, Chaté, Hugues, Radons, Günter
We show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical modes hyperbolically...
Collective motion of self-propelled particles interacting without cohesion (2007)
Chaté, Hugues, Ginelli, Francesco, Grégoire, Guillaume, Raynaud, Franck
We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment...
Chaté, Hugues, Ginelli, Francesco, Grégoire, Guillaume
In this comment we show that the transition to collective motion in Vicsek-like systems with angular noise remain discontinuous for large velocity values. Thus, the networks studied by Aldana {\et...
Directed percolation criticality in turbulent liquid crystals (2007)
Takeuchi, Kazumasa A., Kuroda, Masafumi, Chaté, Hugues, Sano, Masaki
We experimentally investigate the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals. The...
Non-perturbative Approach to Critical Dynamics (2006)
This paper is devoted to a non-perturbative renormalization group (NPRG) analysis of Model A, which stands as a paradigm for the study of critical dynamics. The NPRG formalism has appeared as a...
Critical properties of phase transitions in lattices of coupled logistic maps (2006)
Marcq, Philippe, Chaté, Hugues, Manneville, Paul
We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions....
Critical properties of phase transitions in lattices of coupled logistic maps (2006)
Marcq, Philippe, Chaté, Hugues, Manneville, Paul
We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions....
Effects of microscopic disorder on the collective dynamics of globally coupled maps (2005)
Monte, Silvia De, D'Ovidio, Francesco, Chaté, Hugues, Mosekilde, Erik
16 pages (final publisher version), 24 pages, 6 figures (attached post-print version).-- PACS nrs.: 05.45-a; 87.10.+e.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0511037
Langevin description of critical phenomena with two symmetric absorbing states (2004)
Hammal, Omar Al, Chaté, Hugues, Dornic, Ivan, Muñoz, Miguel A.
On the basis of general considerations, we propose a Langevin equation accounting for critical phenomena occurring in the presence of two symmetric absorbing states. We study its phase diagram by...
From ballistic to Brownian vortex motion in complex oscillatory media (2004)
Davidsen, Jörn, Erichsen, Ronaldo, Kapral, Raymond, Chaté, Hugues
We show that the breaking of the rotation symmetry of spiral waves in two-dimensional complex (period-doubled or chaotic) oscillatory media by synchronization defect lines (SDL) is accompanied by an...
Noise-induced macroscopic bifurcations in globally-coupled chaotic units (2004)
Monte, Silvia De, D'Ovidio, Francesco, Mosekilde, Erik, Chaté, Hugues
4 pages.-- PACS nrs.: 05.45.Ra, 05.40.Ca, 05.45.Jn, 87.10.+e.-- Pre-print version available at ArXiv: http://arxiv.org/abs/cond-mat/0405251.
Noise-induced macroscopic bifurcations in globally-coupled chaotic units (2004)
De Monte, Silvia, D'Ovidio, Francesco, Chaté, Hugues, Mosekilde, Erik
Large populations of globally-coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show...
Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models (2003)
Sastre, Francisco, Dornic, Ivan, Chaté, Hugues
We show that a nominal temperature can be consistently and uniquely defined everywhere in the phase diagram of large classes of nonequilibrium kinetic Ising spin models. In addition, we confirm the...
Absorbing Phase Transitions with Coupling to a Static Field and a Conservation Law (2003)
Kockelkoren, Julien, Chaté, Hugues
The coupling of branching-annihilating random walks to a static field with a local conservation law is shown to change the scaling properties of their phase transitions to absorbing states. In...
Moving and staying together without a leader (2003)
Grégoire, Guillaume, Chaté, Hugues, Tu, Yuhai
A microscopic, stochastic, minimal model for collective and cohesive motionof identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy...
Moving and staying together without a leader (2003)
Grégoire, Guillaume, Chaté, Hugues, Tu, Yuhai
A microscopic, stochastic, minimal model for collective and cohesive motionof identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy...
Moving and staying together without a leader (2003)
Grégoire, Guillaume, Chaté, Hugues, Tu, Yuhai
A microscopic, stochastic, minimal model for collective and cohesive motionof identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy...
Moving and staying together without a leader (2003)
Grégoire, Guillaume, Chaté, Hugues, Tu, Yuhai
A microscopic, stochastic, minimal model for collective and cohesive motionof identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy...
Late stages of coarsening in model C (2002)
Kockelkoren, Julien, Chaté, Hugues
We present a comprehensive picture of (non-critical) domain growth in model C systems where a non-conserved scalar order parameter is coupled to a conserved concentration field. For quenches into the...
Comment on ``Deterministic equations of motion and phase ordering dynamics'' (2002)
Kockelkoren, Julien, Chaté, Hugues
Zheng [Phys. Rev. E {\bf 61}, 153 (2000), cond-mat/9909324] claims that phase ordering dynamics in the microcanonical $\phi^4$ model displays unusual scaling laws. We show here, performing more...
Absorbing Phase Transitions of Branching-Annihilating Random Walks (2002)
Kockelkoren, Julien, Chaté, Hugues
The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied systematically in one space dimension within a new family...
Critical Coarsening without Surface Tension: the Voter Universality Class (2001)
Dornic, Ivan, Chaté, Hugues, Chave, Jérôme, Hinrichsen, Haye
We show that the two-dimensional voter model, usually considered to only be a marginal coarsening system, represents a broad class of models for which phase-ordering takes place without surface...
Critical Coarsening without Surface Tension: The Universality Class of the Voter Model (2001)
Chaté, Hugues, Chave, Jérôme, Dornic, Ivan, Hinrichsen, Haye
Analytical results for generalized persistence properties of smooth processes (2000)
Dornic, Ivan, Lemaître, Anaël, Baldassarri, Andrea, Chaté, Hugues
We present a general scheme to calculate within the independent interval approximation generalized (level-dependent) persistence properties for processes having a finite density of zero-crossings....
Rare-event induced binding transition of heteropolymers (2000)
Sequence heterogeneity broadens the binding transition of a polymer onto a linear or planar substrate. This effect is analyzed in a real-space renormalization group scheme designed to capture the...
Kockelkoren, Julien, Lemaître, Anaël, Chaté, Hugues
The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf 82}, 1140 (1999)) are revisited with the help...
Comment on ``Phase ordering in chaotic map lattices with conserved dynamics'' (2000)
Kockelkoren, Julien, Chaté, Hugues
Angelini, Pellicoro, and Stramaglia [Phys. Rev. E {\bf 60}, R5021 (1999), cond-mat/9907149] (APS) claim that the phase ordering of two-dimensional systems of sequentially-updated chaotic maps with...
Comment on ``Nonuniversal Exponents in Interface Growth'' (1998)
Chaté, Hugues, Chen, Qing-Hu, Tang, Lei-Han
Recently, Newman and Swift[T. J. Newman and M. R. Swift, Phys. Rev. Lett. {\bf 79}, 2261 (1997)] made an interesting suggestion that the strong-coupling exponents of the Kardar-Parisi-Zhang (KPZ)...
Coiling and Supercoiling of Vortex Filaments in Oscillatory Media (1998)
Rousseau, Guillaume, Chaté, Hugues, Kapral, Raymond
We study the behavior of vortex filaments subject to a uniform density of phase twist in oscillatory media described by the complex Ginzburg-Landau equation. The first instability is a supercritical...