S. Ramaswamy, The Mechanics and Statistics of Active Matter, Annual Review of Condensed Matter Physics, vol.1, issue.1, p.323, 2010.
DOI : 10.1146/annurev-conmatphys-070909-104101

M. Marchetti, J. Joanny, S. Ramaswamy, T. Liverpool, J. Prost et al., Hydrodynamics of soft active matter, Reviews of Modern Physics, vol.109, issue.3, p.1143, 2013.
DOI : 10.1140/epje/i2005-10029-3

M. E. Cates, Diffusive transport without detailed balance in motile bacteria: does microbiology need statistical physics?, Reports on Progress in Physics, vol.75, issue.4, p.42601, 2012.
DOI : 10.1088/0034-4885/75/4/042601

C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Self-Concentration and Large-Scale Coherence in Bacterial Dynamics, Physical Review Letters, vol.30, issue.9, p.98103, 2004.
DOI : 10.1016/0022-5193(71)90050-6

URL : https://hal.archives-ouvertes.fr/hal-00014870

A. Sokolov, I. S. Aranson, J. O. Kessler, and R. E. Goldstein, Concentration Dependence of the Collective Dynamics of Swimming Bacteria, Physical Review Letters, vol.145, issue.15, p.158102, 2007.
DOI : 10.1016/0022-5193(71)90050-6

J. Gachelin, A. Rousselet, A. Lindner, and E. Clement, bacteria, New Journal of Physics, vol.16, issue.2, p.25003, 2014.
DOI : 10.1088/1367-2630/16/2/025003

A. Creppy, O. Praud, X. Druart, P. L. Kohnke, and F. Plouraboué, Turbulence of swarming sperm, Physical Review E, vol.5, issue.3, p.32722, 2015.
DOI : 10.1073/pnas.1321926111

URL : https://hal.archives-ouvertes.fr/hal-01308046

T. Sanchez, D. T. Chen, S. J. Decamp, M. Heymann, and Z. Dogic, Spontaneous motion in hierarchically assembled active matter, Nature, vol.8, issue.7424, p.431, 2012.
DOI : 10.1039/b806706f

URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3499644/pdf

D. L. Blair, T. Neicu, and A. Kudrolli, Vortices in vibrated granular rods, Physical Review E, vol.179, issue.3, p.31303, 2003.
DOI : 10.1006/jcis.1996.0217

URL : http://arxiv.org/pdf/cond-mat/0203236

A. Bricard, J. Caussin, N. Desreumaux, O. Dauchot, and D. Bartolo, Emergence of macroscopic directed motion in populations of motile colloids, Nature, vol.179, issue.7474, p.95, 2013.
DOI : 10.1006/jcis.1996.0217

URL : https://hal.archives-ouvertes.fr/hal-01422384

J. Palacci, S. Sacanna, A. P. Steinberg, D. J. Pine, and P. M. Chaikin, Living Crystals of Light-Activated Colloidal Surfers, Science, vol.179, issue.26, p.936, 2013.
DOI : 10.1006/jcis.1996.0217

A. Sokolov and I. S. Aranson, Physical Properties of Collective Motion in Suspensions of Bacteria, Physical Review Letters, vol.1, issue.24, p.248109, 2012.
DOI : 10.1119/1.10903

J. Dunkel, S. Heidenreich, K. Drescher, H. H. Wensink, M. Bär et al., Fluid Dynamics of Bacterial Turbulence, Physical Review Letters, vol.110, issue.22, p.228102, 2013.
DOI : 10.1103/PhysRevLett.110.026001

URL : http://doi.org/10.1103/physrevlett.110.228102

D. Saintillan and M. J. Shelley, Instabilities and Pattern Formation in Active Particle Suspensions: Kinetic Theory and Continuum Simulations, Physical Review Letters, vol.588, issue.17, p.178103, 2008.
DOI : 10.1073/pnas.0600566103

G. Subramanian and D. L. Koch, Critical bacterial concentration for the onset of collective swimming, Journal of Fluid Mechanics, vol.181, p.359, 2009.
DOI : 10.1017/S002211207000191X

C. Hohenegger and M. J. Shelley, Stability of active suspensions, Physical Review E, vol.32, issue.4, p.46311, 2010.
DOI : 10.1103/PhysRevE.69.062901

D. Saintillan and M. J. Shelley, Active suspensions and their nonlinear models, Comptes Rendus Physique, vol.14, issue.6, p.497, 2013.
DOI : 10.1016/j.crhy.2013.04.001

D. Saintillan and M. J. Shelley, Orientational Order and Instabilities in Suspensions of Self-Locomoting Rods, Physical Review Letters, vol.1, issue.5, p.58102, 2007.
DOI : 10.1016/0021-9797(79)90232-7

C. W. Wolgemuth, Collective Swimming and the Dynamics of Bacterial Turbulence, Biophysical Journal, vol.95, issue.4, p.1564, 2008.
DOI : 10.1529/biophysj.107.118257

D. Saintillan and M. J. Shelley, Emergence of coherent structures and large-scale flows in motile suspensions, Journal of The Royal Society Interface, vol.669, issue.24, p.571, 2012.
DOI : 10.1016/j.physleta.2010.06.043

E. Lushi and C. S. Peskin, Modeling and simulation of active suspensions containing large numbers of interacting micro-swimmers, Computers & Structures, vol.122, p.239, 2013.
DOI : 10.1016/j.compstruc.2013.03.007

D. Krishnamurthy and G. Subramanian, Collective motion in a suspension of micro-swimmers that run-and-tumble and??rotary??diffuse, Journal of Fluid Mechanics, vol.588, p.422, 2015.
DOI : 10.1017/S0022112008003807

E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Reports on Progress in Physics, vol.72, issue.9, p.96601, 2009.
DOI : 10.1088/0034-4885/72/9/096601

Y. Qian, P. R. Kramer, and P. T. Underhill, Stochastic kinetic theory for collective behavior of hydrodynamically interacting active particles, Physical Review Fluids, vol.2, issue.4, p.43104, 2017.
DOI : 10.1103/PhysRevLett.85.5655

X. Wu and A. Libchaber, Particle Diffusion in a Quasi-Two-Dimensional Bacterial Bath, Physical Review Letters, vol.27, issue.13, p.3017, 2000.
DOI : 10.1017/S0022112067000552

G. Miño, T. E. Mallouk, T. Darnige, M. Hoyos, J. Dauchet et al., Enhanced Diffusion due to Active Swimmers at a Solid Surface, Physical Review Letters, vol.173, issue.4, p.48102, 2011.
DOI : 10.1007/978-94-009-8352-6

A. Jepson, V. A. Martinez, J. Schwarz-linek, A. Morozov, and W. C. Poon, Enhanced diffusion of nonswimmers in a three-dimensional bath of motile bacteria, Physical Review E, vol.180, issue.4, p.41002, 2013.
DOI : 10.1073/pnas.1019079108

R. Jeanneret, D. O. Pushkin, V. Kantsler, and M. Polin, Entrainment dominates the interaction of microalgae with micron-sized objects, Nature Communications, vol.729, p.12518, 2016.
DOI : 10.1017/jfm.2013.304

H. Kurtuldu, J. S. Guasto, K. A. Johnson, and J. P. Gollub, Enhancement of biomixing by swimming algal cells in two-dimensional films, Proceedings of the National Academy of Sciences, vol.40, issue.17, p.10391, 2011.
DOI : 10.1007/s00348-005-0068-7

Z. Lin, J. Thiffeault, and S. Childress, Stirring by squirmers, Journal of Fluid Mechanics, vol.6, p.167, 2011.
DOI : 10.1039/c0sm00164c

D. O. Pushkin and J. M. Yeomans, Fluid Mixing by Curved Trajectories of Microswimmers, Physical Review Letters, vol.111, issue.18, p.188101, 2013.
DOI : 10.1103/PhysRevE.87.052702

URL : http://arxiv.org/pdf/1307.6025

T. Kasyap, D. L. Koch, and M. Wu, Hydrodynamic tracer diffusion in suspensions of swimming bacteria, Physics of Fluids, vol.105, issue.8, p.81901, 2014.
DOI : 10.1063/1.4818810

A. Morozov and D. Marenduzzo, Enhanced diffusion of tracer particles in dilute bacterial suspensions, Soft Matter, vol.23, issue.16, p.2748, 2014.
DOI : 10.1063/1.3642645

R. W. Nash, R. Adhikari, and M. E. Cates, Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics, Physical Review E, vol.11, issue.2, p.26709, 2008.
DOI : 10.1017/S0022112003006967

URL : http://arxiv.org/pdf/0707.1299

R. W. Nash, R. Adhikari, J. Tailleur, and M. E. Cates, Run-and-Tumble Particles with Hydrodynamics: Sedimentation, Trapping, and Upstream Swimming, Physical Review Letters, vol.104, issue.25, p.258101, 2010.
DOI : 10.1103/PhysRevLett.79.1150

URL : http://arxiv.org/pdf/1003.1996

Y. Hatwalne, S. Ramaswamy, M. Rao, and R. A. Simha, Rheology of Active-Particle Suspensions, Physical Review Letters, vol.20, issue.11, p.118101, 2004.
DOI : 10.1007/s004660050247

R. Cortez, L. Fauci, and A. Medovikov, The method of regularized Stokeslets in three dimensions:??? Analysis, validation, and application to helical swimming, Physics of Fluids, vol.10, issue.3, p.31504, 2005.
DOI : 10.1007/BF02512373

R. Balescu, Statistical Dynamics: Matter Out of Equilibrium, 1997.
DOI : 10.1142/p036

C. W. Gardiner, Handbook of Stochastic Methods, 2004.

J. Heyvaerts, A Balescu-Lenard-type kinetic equation for the collisional evolution of stable self-gravitating systems, Monthly Notices of the Royal Astronomical Society, vol.328, issue.1, p.355, 2010.
DOI : 10.1093/mnras/239.2.549

A. Campa, T. Dauxois, and S. Ruffo, Statistical mechanics and dynamics of solvable models with long-range interactions, Physics Reports, vol.480, issue.3-6, p.57, 2009.
DOI : 10.1016/j.physrep.2009.07.001

URL : https://hal.archives-ouvertes.fr/hal-00530806

F. Bouchet, S. Gupta, and D. Mukamel, Thermodynamics and dynamics of systems with long-range interactions, Physica A: Statistical Mechanics and its Applications, vol.389, issue.20, p.4389, 2010.
DOI : 10.1016/j.physa.2010.02.024

C. Nardini, S. Gupta, S. Ruffo, T. Dauxois, and F. Bouchet, Kinetic theory for non-equilibrium stationary states in long-range interacting systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.01, p.1002, 2012.
DOI : 10.1088/1742-5468/2012/01/L01002

URL : https://hal.archives-ouvertes.fr/ensl-00750490

C. Nardini, S. Gupta, S. Ruffo, T. Dauxois, and F. Bouchet, Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.12, p.12010, 2012.
DOI : 10.1088/1742-5468/2012/12/P12010

URL : https://hal.archives-ouvertes.fr/ensl-00750488

M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, 1988.

J. Thiffeault, Distribution of particle displacements due to swimming microorganisms, Physical Review E, vol.59, issue.2, p.23023, 2015.
DOI : 10.1016/j.physrep.2009.05.002

R. Kubo, The fluctuation-dissipation theorem, Reports on Progress in Physics, vol.29, issue.1, p.255, 1966.
DOI : 10.1088/0034-4885/29/1/306

F. Bouchet and T. Dauxois, Kinetics of anomalous transport and algebraic correlations in a long-range interacting system, Journal of Physics: Conference Series, vol.7, p.34, 2005.
DOI : 10.1088/1742-6596/7/1/003

F. Bouchet and T. Dauxois, Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics, Physical Review E, vol.69, issue.4, p.45103, 2005.
DOI : 10.1103/PhysRevLett.93.190602

URL : https://hal.archives-ouvertes.fr/ensl-00179877

P. T. Underhill, J. P. Hernandez-ortiz, and M. D. Graham, Diffusion and Spatial Correlations in Suspensions of Swimming Particles, Physical Review Letters, vol.588, issue.24, p.248101, 2008.
DOI : 10.1007/s10458-006-9004-3

T. Ishikawa, J. T. Locsei, and T. J. Pedley, Fluid particle diffusion in a semidilute suspension of model micro-organisms, Physical Review E, vol.48, issue.2, p.21408, 2010.
DOI : 10.1017/S0022112082000627