Search Results - "Dauxois, Thierry"
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1
Instabilities of Internal Gravity Wave Beams
Published in Annual review of fluid mechanics (05-01-2018)“…Internal gravity waves play a primary role in geophysical fluids: They contribute significantly to mixing in the ocean, and they redistribute energy and…”
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2
Emergent spatial structures in flocking models: a dynamical system insight
Published in Physical review letters (08-04-2014)“…We show that hydrodynamic theories of polar active matter generically possess inhomogeneous traveling solutions. We introduce a unifying dynamical-system…”
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3
Instabilities in internal gravity waves
Published in Mathematics in engineering (01-01-2023)“…Internal gravity waves are propagating disturbances in stably stratified fluids, and can transport momentum and energy over large spatial extents. From a…”
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Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
Published in Physica A (01-06-2004)“…We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-Field model, a prototype for long-range interactions in N-particle…”
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5
Order of the phase transition in models of DNA thermal denaturation
Published in Physical review letters (03-07-2000)“…We examine the behavior of a model which describes the melting of double-stranded DNA chains. The model, with displacement-dependent stiffness constants and a…”
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6
The Vlasov equation and the Hamiltonian mean-field model
Published in Physica A (01-06-2006)“…We show that the quasi-stationary states of homogeneous (zero magnetization) states observed in the N-particle dynamics of the Hamiltonian mean-field (HMF)…”
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7
The anti-FPU problem
Published in Chaos (Woodbury, N.Y.) (01-03-2005)“…We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi-Pasta-Ulam (FPU) lattices…”
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8
Statistical mechanics and dynamics of solvable models with long-range interactions
Published in Physics reports (2009)“…For systems with long-range interactions, the two-body potential decays at large distances as V ( r ) ∼ 1 / r α , with α ≤ d , where d is the space dimension…”
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9
Instabilities and relaxation to equilibrium in long-range oscillator chains
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (30-03-2015)“…We study instabilities and relaxation to equilibrium in a long-range extension of the Fermi-Pasta-Ulam-Tsingou (FPU) oscillator chain by exciting initially the…”
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10
Succession of Resonances to Achieve Internal Wave Turbulence
Published in Physical review letters (22-05-2020)“…We study experimentally the interaction of nonlinear internal waves in a stratified fluid confined in a trapezoidal tank. The setup has been designed to…”
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11
Dynamical Transitions in Correlated Driven Diffusion in a Periodic Potential
Published in Physical review letters (17-02-1997)Get full text
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12
Nonlinear fate of internal wave attractors
Published in Physical review letters (07-06-2013)“…We present a laboratory study on the instability of internal wave attractors in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is…”
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13
Enhanced stochastic oscillations in autocatalytic reactions
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-03-2009)“…We study a simplified scheme of k coupled autocatalytic reactions, previously introduced by Togashi and Kaneko. The role of stochastic fluctuations is…”
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14
Out-of-equilibrium fluctuations in stochastic long-range interacting systems
Published in Europhysics letters (01-03-2016)“…For a many-particle system with long-range interactions and evolving under stochastic dynamics, we study for the first time the out-of-equilibrium fluctuations…”
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15
Can we model DNA at the mesoscale?: Comment on “Fluctuations in the DNA double helix: A critical review” by Frank-Kamenetskii and Prakash
Published in Physics of life reviews (01-06-2014)Get full text
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16
Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Published in Communications in nonlinear science & numerical simulation (01-07-2018)“…We study the dynamics of Fermi-Pasta-Ulam (FPU) chains with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is…”
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17
Energy cascade in internal-wave attractors
Published in Europhysics letters (01-02-2016)“…One of the pivotal questions in the dynamics of the oceans is related to the cascade of mechanical energy in the abyss and its contribution to mixing. Here, we…”
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18
Fractional dynamics and modulational instability in long-range Heisenberg chains
Published in Communications in nonlinear science & numerical simulation (01-02-2023)“…We study the effective dynamics of ferromagnetic spin chains in presence of long-range interactions. We consider the Heisenberg Hamiltonian in one dimension…”
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19
Can we model DNA at the mesoscale?
Published in Physics of life reviews (01-06-2014)Get full text
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20
Internal wave attractors in 3D geometries : A dynamical systems approach
Published in European journal of mechanics, B, Fluids (01-09-2019)“…We study the propagation in three dimensions of internal waves using ray tracing methods and traditional dynamical systems theory. The wave propagation on a…”
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