B. Arcen, Etude par simulation numérique directe du comportement et de la dispersion de particules solides en écoulement non homogène isothermo ou anisotherme, 2006.

B. Arcen, A. Tanière, and B. Oesterlé, On the inuence of near-wall forces in particle -laden channel ows, International Journal of Multiphase Flow, vol.32, p.13261339, 2006.

F. Archambeau, N. Méchitoua, and M. Sakiz, Code_Saturne : a Finite Volume Code for the Computation of Turbulent Incompressible Flows - Industrial Applications, International Journal on Finite Volumes, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01115371

S. Beresnev, C. , and V. , Thermophoresis of a spherical particle in a rareed gas : Numerical analysis based on the model kinetic equation, Physics of Fluids, vol.7, issue.7, p.17431756, 1995.

P. Bhatnagar, E. Gross, and M. Krook, A model for collision processis in gases i : small amplitude processes in charged and neutral one-component systems, Physical Review Letters, pp.94-511525, 1954.

H. Brenner, Self-thermophoresis and thermal self-diffusion in liquids and gases, Physical Review E, vol.82, issue.3, p.36325, 2010.
DOI : 10.1103/PhysRevE.82.036325

J. Brock, On the theory of thermal forces acting on aerosol particles, Journal of Colloid Science, vol.17, issue.8, p.768780, 1962.
DOI : 10.1016/0095-8522(62)90051-X

S. Chibbaro and J. Minier, Stochastic Methods in Fluid Mechanics, CISM, vol.548
DOI : 10.1007/978-3-7091-1622-7

J. Cleaver and B. Yates, A sub layer model for the deposition of particles from a turbulent ow, Chemical Engineering Science, vol.30, issue.8, p.983992, 1975.

H. Cordier, Etude d'opportunité du projet mofphet-c, 2003.

D. Groot, S. Mazur, and P. , Non-Equilibrium Thermodynamics, 1962.

J. Dhont, S. Wiegand, S. Duhr, and D. Braun, Thermodiusion of charged colloids : Single-particle diusion, Langmuir, vol.23, p.16741683, 2007.

S. Duhr and D. Braun, Thermophoretic Depletion Follows Boltzmann Distribution, Physical Review Letters, vol.96, issue.16, p.168301, 2006.
DOI : 10.1103/PhysRevLett.96.168301

S. Duhr and D. Braun, Why molecules move along a temperature gradient, Proceedings of the National Academy of Sciences, vol.103, issue.52, p.52, 2006.
DOI : 10.1073/pnas.0603873103

W. L. Dunn and J. K. Shultis, Pseudorandom Number Generators, Exploring Monte Carlo Methods, p.4768
DOI : 10.1016/B978-0-444-51575-9.00003-8

P. Epstein, Zur Theorie des Radiometers, Zeitschrift f???r Physik, vol.54, issue.7-8, p.537563, 1929.
DOI : 10.1007/BF01338485

F. Fan and G. Ahmadi, A sublayer model for turbulent deposition of particles in vertical ducts with smooth and rough surfaces, Journal of Aerosol Science, vol.24, issue.1, p.4564, 1993.
DOI : 10.1016/0021-8502(93)90084-M

G. Gae, C. Lee, and S. Park, Measurements and control of particle deposition velocity on a horizontal wafer with thermophoretic eect, Aerosol Science and Technology, vol.23, p.321330, 1995.

C. Gardiner, Handbook of Stochastics Methods for Physics, Chemistry and the Natural Sciences, 1985.

M. Guingo, Modélisation stochastique du dépôt et du réentraînement de particules dans un écoulement turbulent, 2008.

M. Guingo and J. Minier, A new model for the simulation of particle resuspension by turbulent ows based on a stochastic description of wall roughness and adhesion forces, Journal of Aerosol Science, vol.39, p.957973, 2008.

M. Guingo and J. Minier, A stochastic model of coherent structures for particle deposition in turbulent flows, Physics of Fluids, vol.20, issue.5, p.53303, 2008.
DOI : 10.1063/1.2908934

H. Hamaker, The London???van der Waals attraction between spherical particles, Physica, vol.4, issue.10, p.10581072, 1937.
DOI : 10.1016/S0031-8914(37)80203-7

M. Han, Thermophoresis in liquids: a molecular dynamics simulation study, Journal of Colloid and Interface Science, vol.284, issue.1, p.339348, 2005.
DOI : 10.1016/j.jcis.2004.09.067

C. He and G. Ahmadi, Particle deposition with thermophoresis in laminar and turbulent duct ow, Aerosol Science and Technology, vol.29, issue.6, p.525546, 1998.

D. Healy, Y. , and J. , An exprimental and theoretical study of particle deposition due to thermophoresis and turbulence in an anunular ow, International Journal of Multiphase Flow, vol.36, p.870881, 2010.

C. Henry, J. Minier, and G. Lefèvre, Numerical Study on the Adhesion and Reentrainment of Nondeformable Particles on Surfaces: The Role of Surface Roughness and Electrostatic Forces, Langmuir, vol.28, issue.1, p.438452, 2012.
DOI : 10.1021/la203659q

C. Henry, J. Minier, and G. Lefèvre, Towards a description of particulate fouling: From single particle deposition to clogging, Advances in Colloid and Interface Science, vol.185, issue.186, pp.0-3476, 2012.
DOI : 10.1016/j.cis.2012.10.001

C. Henry, J. Minier, G. Lefèvre, and O. Hurisse, Numerical Study on the Deposition Rate of Hematite Particle on Polypropylene Walls: Role of Surface Roughness, Langmuir, vol.27, issue.8, p.46034612, 2011.
DOI : 10.1021/la104488a

C. Henry, J. Minier, and G. Lefèvre, Towards a description of particulate fouling: From single particle deposition to clogging, Advances in Colloid and Interface Science, vol.185, issue.186, pp.0-76, 2012.
DOI : 10.1016/j.cis.2012.10.001

N. Jacob, Intermolecular and Surface Forces, 2011.

D. Kaftori, G. Hestroni, and S. Banerjee, Particle behaviour in turbulent boundary layer. ii. velocity and distribution proles, Physics of Fluids, vol.7, issue.5, p.11071121, 1995.

J. Kay, An Introduction to Fluid Mechanics en Heat Transfer, 1963.

A. Leeming, Particle Deposition from Turbulent Flows, 1995.

B. Liu and J. Agarwal, Experimental observation of aerosol deposition in turbulent ow, Journal of Aerosol Science, vol.5, p.145155, 1974.

E. Lugscheider, K. Bobzin, and A. Erdle, Solder deposition for transient liquid phase (TLP)-bonding by MSIP-PVD-process, Surface and Coatings Technology, vol.174, issue.175, pp.175-704707, 2003.
DOI : 10.1016/S0257-8972(03)00692-3

C. Malmberg and A. Maryott, Dielectric constant of water from 0 to 100 C, Journal of Research of the National Bureau of Standards, vol.56, issue.1, p.28, 1956.
DOI : 10.6028/jres.056.001

C. Marchioli and A. Soldati, Mechanisms for particle transfer and segregation in a turbulent boundary layer, Journal of Fluid Mechanics, vol.468, p.283315, 2002.
DOI : 10.1017/S0022112002001738

C. Martineau, J. Minier, M. Guingo, and A. Tanière, Lagrangian stochastic modelling of colloidal particle deposition driven by turbulent ows, Proceedings of 8 th ICMF International Conference on Multiphase Flow, 2013.

C. Martineau, J. Minier, and A. Tanière, Stochastic modeling of particle deposition in a conned turbulent ow

E. Matida, K. Nishino, and K. Torii, Statistical simulation of particle deposition on the wall from turbulent dispersed pipe ow, International Journal of Heat and Fluid Flow, vol.21, p.389402, 2000.

J. Mcinnes and F. Bracco, Stochastic particle dispersion modeling and the tracer???particle limit, Physics of Fluids A: Fluid Dynamics, vol.4, issue.12, p.28092824, 1992.
DOI : 10.1063/1.858337

G. Mcnab, Thermophoresis in sols Master's thesis, The University of British Columbia, 1972.

A. Mehel, B. Sagot, A. Tanière, and B. Oesterlé, On the mutual eect of the turbulent dispersion model and thermophoresis on nanoparticle deposition, International Journal of Nonlinear Sciences and Numerical Simulation, vol.13, issue.6, p.417425, 2012.

A. Mehel, A. Tanière, B. Oesterlé, and J. Fontaine, The inuence of an anisotropic Langevin dispersion model on the prediction of microand nanoparticle deposition in wall-bounded turbulent ows, Journal of Aerosol Science, vol.41, p.729744, 2010.

A. Messerer, R. Niessner, and U. Pölschl, Miniature pipe bundle heat exchanger for thermophoretic deposition of ultrane soot aerosol particles at high ow velocities, Aerosol Science and Technology, vol.38, p.456466, 2004.

J. Minier, C. , and S. , Langevin PDF simulation of particle deposition in a turbulent pipe ow, Journal of Aerosol Science, vol.39, issue.7, p.555571, 2008.

J. Minier and E. Peirano, The pdf approach to turbulent polydispersed two-phase flows, Physics Reports, vol.352, issue.1-3, pp.1-3, 2001.
DOI : 10.1016/S0370-1573(01)00011-4

J. Minier and J. Pozorski, Derivation of a PDF model for turbulent ows based on principles from statistical physics, Physics of Fluids, vol.9, issue.6, p.17481753, 1997.

J. Minier and J. Pozorski, Wall-boundary conditions in probability function methods and application to a turbulent channel ow, Physics of Fluids, vol.11, issue.9, 1999.

M. Mohaupt, J. Minier, and A. Tanière, A new approach for the detection of particle interactions for large-inertia and colloidal particles in a turbulent ow, International Journal of Multiphase Flow, vol.37, issue.746, p.755, 2011.

D. Moltchanov, Random numbers with arbitrary distribution, Network Simulation Techniques

N. Montassier, D. Boulaud, and A. Renoux, Experimental study of thermophoretic particle deposition in laminar tube ow, Journal of Aerosol Science, vol.22, p.677787, 1991.

H. Öttinger, Stochastic Processes in Polymeric Fluids, Tools and Examples for Developing Simulation Algorithms, 1996.

P. Papavergos and A. Hedley, Particle deposition behaviour from turbulent ows, Chemical Engineering Research and Design, vol.62, p.275295, 1984.

R. Piazza, Thermophoresis: moving particles with thermal gradients, Soft Matter, vol.21, issue.9, p.17401744, 2008.
DOI : 10.1039/b805888c

S. Pope, {PDF} methods for turbulent reactive ows, Progress in Energy and Combustion Science, vol.11, issue.2, p.119192, 1985.

T. Prusek, E. Moleiro, F. Oukacine, A. Adobes, M. Jaeger et al., Deposit models for tube support plate ow blockage in steam generators, Nuclear Engineering and Design, vol.262, p.418428, 2013.

F. Risacher, F. , and B. , Estimation des variations en fonction de la température des produits de solubilité des principaux sels des milieux évaporitiques, Sci. Géol. Bull, vol.37, pp.3-229237, 1984.

H. Romay, S. Takagi, D. Pui, and B. Liu, Thermophoretic deposition of aerosol particles in turbulent pipe ow, Journal of Aerosol Science, vol.29, p.943959, 1998.

E. Shakhov, Generalisation of the krook kinetic relaxation equation, Fluid Dynamics, vol.3, issue.5, p.9596

S. Slater, A. Leeming, Y. , and J. , Particle deposition from twodimensional turbulent gas ows, International Journal of Multiphase Flow, vol.29, p.721750, 2003.

L. Talbot, R. Cheng, R. Schefer, W. , and D. , Thermophoresis of particles in a heated boundary layer, Journal of Fluid Mechanics, vol.65, issue.04, p.737758, 1980.
DOI : 10.1063/1.1702330

A. Tanière, Modélisation stochastique et simulation des écoulements diphasiques dispersés et turbulents, Habilitation à Diriger les Recherches, 2010.

A. Ungar, Etude de l'impact du conditionnement chimique sur la forme de dépôts côté secondaire des tubes de gv : bilan de l'essai réalisé en 2009 sur la boucle perde avec le système d'injection de particules de magnétite, 2011.

E. Verwey and J. Overbeek, Theory of stability of lyophobic colloids, 1948.

L. Waldmann, Uber die kraft eines inhomogen gases auf kleine suspendierte kugeln, Naturforschung, vol.14, p.589599, 1959.
DOI : 10.1515/zna-1959-0701

X. Wang, Improving the rejection sampling method in quasi-Monte Carlo methods, Journal of Computational and Applied Mathematics, vol.114, issue.2, p.231246, 2000.
DOI : 10.1016/S0377-0427(99)00194-6

R. Williamson, I. Newson, and T. Bott, The deposition of haematite particles from owing water, The Canadian Journal of Chemical Engineering, vol.66, p.5154, 1988.

N. Wood, The mass transfer of particles and acid vapour to cooled surfaces, Journal Institute of Energy, vol.76, p.7693, 1981.

A. Würger, Is soret equilibrium a non-equilibrium eect ?, Compte Rendus Mécanique, vol.341, pp.4-5, 2013.

K. Yamamoto and Y. Ishihara, Thermophoresis of a spherical particle in a rareed gas of a transition regime, Physics of Fluids, vol.31, p.36183624, 1988.

Y. Ye, D. Pui, B. Liu, S. Opiolka, S. Blumhorst et al., Thermophorectic eect of particle deposition on a free standing semiconductor wafer in a clean room, Journal of Aerosol Science, vol.22, p.6372, 1991.

F. Zheng, Thermophoresis of spherical and non-spherical particles: a review of theories and experiments, Advances in Colloid and Interface Science, vol.97, issue.1-3, p.255278, 2002.
DOI : 10.1016/S0001-8686(01)00067-7