Lévy dynamics of enhanced diffusion: Application to turbulence, Physical Review Letters, vol.58, issue.11, pp.1100-1103, 1987. ,
Pair Dispersion in Turbulence: The Subdominant Role of Scaling, Physical Review Letters, vol.107, issue.21, p.214501, 2011. ,
Turbulent pair dispersion as a continuous-time random walk, Journal of Fluid Mechanics, vol.755, p.4, 2014. ,
Application of the finite-size Lyapunov exponent to particle tracking velocimetry in fluid mechanics experiments, Physical Review E, vol.72, issue.5, p.56306, 2005. ,
Coarse Grained Scale of Turbulent Mixtures, Physical Review Letters, vol.97, issue.14, p.144506, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00098351
Fluid Mixing from Viscous Fingering, Physical Review Letters, vol.106, issue.19, p.194502, 2011. ,
Flow topology and scalar mixing in spatially heterogeneous flow fields, Geophysical Research Letters, vol.39, issue.8, pp.n/a-n/a, 2012. ,
The lamellar description of mixing in porous media, Journal of Fluid Mechanics, vol.770, pp.458-498, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01348635
Experimental Evidence of Helical Flow in Porous Media, Physical Review Letters, vol.115, issue.19, p.194502, 2015. ,
Applications of a stretch model to mixing, diffusion, and reaction in laminar and turbulent flows, AIChE Journal, vol.25, issue.1, pp.41-47, 1979. ,
Stochastic Langevin Model for Flow and Transport in Porous Media, Physical Review Letters, vol.101, issue.4, p.44502, 2008. ,
Predicting the enhancement of mixing-driven reactions in nonuniform flows using measures of flow topology, Physical Review E, vol.90, issue.5, p.51001, 2014. ,
Dissolution patterns and mixing dynamics in unstable reactive flow, Geophysical Research Letters, vol.42, issue.15, pp.6357-6364, 2015. ,
Does the tracer gradient vector align with the strain eigenvectors in 2D turbulence?, Physics of Fluids, vol.11, issue.12, pp.3729-3737, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-00268903
The Non-Linear Field Theories of Mechanics, The Non-Linear Field Theories of Mechanics, 1992. ,
Simple Model of Intermittent Passive Scalar Turbulence, Physical Review Letters, vol.84, issue.3, pp.471-474, 2000. ,
Mixing as an Aggregation Process, Physical Review Letters, vol.91, issue.18, p.18, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00014842
Mixing by porous media, Comptes Rendus Mécanique, vol.340, issue.11-12, pp.933-943, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01346256
Stretching, Coalescence, and Mixing in Porous Media, Physical Review Letters, vol.110, issue.20, p.204501, 2013. ,
URL : https://hal.archives-ouvertes.fr/insu-00866122
, The Kinematics of Mixing: Stretching, Chaos, and Transport, 1989.
Persistency of material element deformation in isotropic flows and growth rate of lines and surfaces, The European Physical Journal B, vol.18, issue.2, pp.353-361, 2000. ,
A nonsequential turbulent mixing process, Physics of Fluids, vol.22, issue.3, p.035104, 2010. ,
Particle pair diffusion and persistent streamline topology in two-dimensional turbulence, New Journal of Physics, vol.6, pp.65-65, 2004. ,
On the role of initial velocities in pair dispersion in a microfluidic chaotic flow, Nature Communications, vol.8, issue.1, 2017. ,
Decay of scalar variance in terms of a modified Richardson law for pair dispersion, Physics of Fluids, vol.24, issue.9, p.1754, 1981. ,
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Phil. Trans. R. Soc. Lond, vol.360, p.2819 ,
, Phys. Rev. Lett, vol.88, p.94501, 2002.
, Dynamics of Fuids in Porous Media, 1972.
Introduction to Macrotransport Processes, Macrotransport Processes, pp.3-28, 1993. ,
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications, Physics Reports, vol.195, issue.4-5, pp.127-293, 1990. ,
Nonequilibrium statistical mechanics of preasymptotic dispersion, Journal of Statistical Physics, vol.75, issue.5-6, pp.859-878, 1994. ,
Anomalous Transport in Random Fracture Networks, Physical Review Letters, vol.79, issue.20, pp.4038-4041, 1997. ,
Application of a fractional advection-dispersion equation, Water Resources Research, vol.36, issue.6, pp.1403-1412, 2000. ,
On the late-time behavior of tracer test breakthrough curves, Water Resources Research, vol.36, issue.12, pp.3467-3479, 2000. ,
Anomalous Fluid Transport in Porous Media Induced by Biofilm Growth, Physical Review Letters, vol.93, issue.19, p.198103, 2004. ,
Modeling non-Fickian transport in geological formations as a continuous time random walk, Reviews of Geophysics, vol.44, issue.2, 2006. ,
Perspective on theories of non-Fickian transport in heterogeneous media, Advances in Water Resources, vol.32, issue.5, pp.670-680, 2009. ,
Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields, Physical Review Letters, vol.101, issue.9, p.90601, 2008. ,
URL : https://hal.archives-ouvertes.fr/insu-00372030
Signature of Non-Fickian Solute Transport in Complex Heterogeneous Porous Media, Physical Review Letters, vol.107, issue.20, p.204502, 2011. ,
Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media, Physical Review Letters, vol.110, issue.18, p.184502, 2013. ,
URL : https://hal.archives-ouvertes.fr/insu-01121092
Origins of anomalous transport in heterogeneous media: Structural and dynamic controls, Water Resources Research, vol.50, issue.2, pp.1490-1505, 2014. ,
Mechanisms of anomalous dispersion in flow through heterogeneous porous media, Physical Review Fluids, vol.1, issue.7, p.74002, 2016. ,
Steady groundwater flow as a dynamical system, Water Resources Research, vol.30, issue.8, pp.2395-2401, 1994. ,
Topological groundwater hydrodynamics, Advances in Water Resources, vol.24, issue.7, pp.793-801, 2001. ,
Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field, Physical Review E, vol.67, issue.4, p.46306, 2003. ,
, Phys. Rev. E, vol.78, p.26308, 2008.
Solute transport in aquifers of arbitrary variability: A time-domain random walk formulation, Water Resources Research, vol.50, issue.7, pp.5759-5773, 2014. ,
Continuous time random walks for the evolution of Lagrangian velocities, Physical Review Fluids, vol.1, issue.7, p.74004, 2016. ,
URL : https://hal.archives-ouvertes.fr/insu-02442418
Modelling of strain histories for memory integral fluids in steady axisymmetric flows, Journal of Non-Newtonian Fluid Mechanics, vol.10, issue.1-2, pp.157-167, 1982. ,
Random Walks on Lattices. II, Journal of Mathematical Physics, vol.6, issue.2, pp.167-181, 1965. ,
Stochastic Transport in a Disordered Solid. I. Theory, Physical Review B, vol.7, issue.10, pp.4491-4502, 1973. ,
Lévy walks, Reviews of Modern Physics, vol.87, issue.2, pp.483-530, 2015. ,
The GLAST Silicon-Strip Tracking System, 2004. ,
The Spatiotemporal Random Field Model, Random Field Models in Earth Sciences, pp.168-214, 1992. ,
An Introduction to the Theory of Stationary Random Functions, 1962. ,
Streamlines Near a Closed Curve and Chaotic Streamlines in Steady Cavity Flows, Procedia IUTAM, vol.5, pp.173-186, 2012. ,
Distribution- Versus Correlation-Induced Anomalous Transport in Quenched Random Velocity Fields, Physical Review Letters, vol.105, issue.24, p.244301, 2010. ,
Spatial Markov Model of Anomalous Transport Through Random Lattice Networks, Physical Review Letters, vol.107, issue.18, p.180602, 2011. ,
URL : https://hal.archives-ouvertes.fr/insu-00667680
Distribution of local fluxes in diluted porous media, Physical Review E, vol.74, issue.1, p.10401, 2006. ,
Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections, Physical Review E, vol.92, issue.2, p.22148, 2015. ,
URL : https://hal.archives-ouvertes.fr/insu-02442412
Scaling forms of particle densities for Lévy walks and strong anomalous diffusion, Physical Review E, vol.92, issue.3, p.32128, 2015. ,