Feasibility of the multi-particle collision dynamics method as a simulation technique for a magnetic particle suspension

References

• Bullough WA, editor. Electro-rheological fluids, magneto-rheological suspensions and associated technology. Singapore: World Scientific; 1996.
   Google Scholar
• Rosensweig RE. Magnetic fluids. Ann Rev Fluid Mech. 1987;19:437–461.
   Web of Science ®Google Scholar
• Wereley NM, editor. Magnetorheology: advances and applications. London: Royal Society of Chemistry; 2013.
   Google Scholar
• Iwayama Y, Yamanaka J, Takiguchi Y, et al. Optically tunable gelled photonic crystal covering almost the entire visible light wavelength region. Langmuir. 2003;19:977–980.
   Web of Science ®Google Scholar
• Reese CE, Guerrero CD, Weissman JM, et al. Synthesis of highly charged, monodisperse polystyrene colloidal particles for the fabrication of photonic crystals. J Colloid Interface Sci. 2000;232:76–80.
   PubMed Web of Science ®Google Scholar
• Mine E, Hirose M, Nagao D, et al. Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals. J Colloid Interface Sci. 2005;291:162–168.
   PubMed Web of Science ®Google Scholar
• Furumi S, Sakka Y. Chiroptical properties induced in chiral photonic-bandgap liquid crystals leading to a highly efficient laser-feedback effect. Advan Mater. 2006;18:775–780.
   Web of Science ®Google Scholar
• Harrell JW, Kang S, Jia Z, et al. Model for the easy-axis alignment of chemically synthesized L10 FePt nanoparticles. Appl Phys Lett. 2005;87:202–208.
   Web of Science ®Google Scholar
• Verdes C, Chantrell RW, Satoh A, et al. Self-organization, orientation and magnetic properties of FePt nanoparticle arrays. J Magn Magn Mater. 2006;304:27–31.
   Web of Science ®Google Scholar
• Häfeli U, Schütt W, Teller J, et al., editors. Scientific and clinical applications of magnetic carriers. Berlin: Springer; 1997.
   Google Scholar
• Girginova PI, Daniel-da-Silva AL, Lopes CB, et al. Silica coated magnetite particles for magnetic removal of Hg2+ from water. J Colloid Interface Sci. 2010;345:234–240.
   PubMed Web of Science ®Google Scholar
• Lan S, Wu X, Li L, et al. Synthesis and characterization of hyaluronic acid-supported magnetic microspheres for copper ions removal. Colloids Surf A. 2013;425:42–50.
   Web of Science ®Google Scholar
• Bruce IJ, Sen T. Surface modification of magnetic nanoparticles with alkoxysilanes and their application in magnetic bioseparations. Langmuir. 2005;21:7029–7035.
   PubMed Web of Science ®Google Scholar
• Satoh A, Taneko E. Brownian dynamics simulations of a dispersion composed of two-types of spherical particles: for development of a new technology to improve the visibility of rivers and lakes. J Colloid Interface Sci. 2009;338:236–242.
   PubMed Web of Science ®Google Scholar
• Satoh A. Sedimentation behavior of dispersions composed of large and small charged colloidal particles: development of new technology to improve the visibility of small lakes and ponds. Env Eng Sci. 2015;32:528–538.
   Web of Science ®Google Scholar
• Satoh A. Introduction to molecular-microsimulation of colloidal dispersions. Amsterdam: Elsevier; 2003.
   Google Scholar
• Satoh A, Sakuda Y. 2D Monte Carlo simulation of phase transitions and internal aggregate structures in a highly dense suspension composed of magnetic plate-like particles. Molec Phys. 2010;108:2105–2113.
   Web of Science ®Google Scholar
• Satoh A, Okada K. Quasi-2D Monte Carlo simulations of the regime change in the aggregates of magnetic cubic particles on a material surface. Molec Phys. 2017;115:683–701.
   Web of Science ®Google Scholar
• Allen MP, Tildesley DJ. Computer simulation of liquids. Oxford: Clarendon Press; 1987.
   Google Scholar
• Bossis G, Brady JF. Dynamic simulation of sheared suspensions. I. General method. J Chem Phys. 1984;80:5141–5154.
   Web of Science ®Google Scholar
• Brady JF, Bossis G. The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation. J Fluid Mech. 1985;155:105–129.
   Web of Science ®Google Scholar
• Satoh A. Introduction to practice of molecular simulation: molecular dynamics, Monte Carlo, Brownian dynamics, lattice Boltzmann and dissipative particle dynamics. Amsterdam: Elsevier Insights; 2010.
   Google Scholar
• Succi S. The lattice Boltzmann equation for fluid dynamics and beyond. Oxford: Clarendon Press; 2001.
   Google Scholar
• Rothman DH, Zaleski S. Lattice-gas cellular automata, simple models of complex hydrodynamics. Cambridge: Cambridge University Press; 1997.
   Google Scholar
• Rivet J–P, Boon JP. Lattice gas hydrodynamics. Cambridge: Cambridge Univ; 2001.
   Google Scholar
• Hoogerbrugge PJ, Koelman JMVA. Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics. Europhys Lett. 1992;19:155–160.
   Google Scholar
• Koelman JMVA, Hoogerbrugge PJ. Dynamic simulations of hard-sphere suspensions under steady shear. Europhys Lett. 1993;21:363–368.
   Google Scholar
• Espanol P. Hydrodynamics from dissipative particle dynamics. Phys Rev E. 1995;52:1734–1742.
   PubMed Web of Science ®Google Scholar
• Marsh CA, Backx G, Ernst MH. Static and dynamic properties of dissipative particle dynamics. Phys Rev E. 1997;56:1676–1691.
   Web of Science ®Google Scholar
• Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. part 1. theoretical foundation. J Fluid Mech. 1994;271:285–309.
   Web of Science ®Google Scholar
• Ladd AJC, Verberg R. Lattice-Boltzmann simulations of particle-fluid suspensions. J Stat Phys. 2001;104:1191–1251.
   Web of Science ®Google Scholar
• Landau LD, Lifshitz EM (translated by Sykes JB, Reid WH). Fluid mechanics. 2nd ed. Oxford: Pergamon Press; 1987.
   Google Scholar
• Malevanets A, Kapral R. Mesoscopic model for solvent dynamics. J Chem Phys. 1999;110:8605–8613.
   Web of Science ®Google Scholar
• Malevanets A, Kapral R. Solute molecular dynamics in a mesoscale solvent. J Chem Phys. 2000;112:7260–7269.
   Web of Science ®Google Scholar
• Gompper G, Ihle T, Kroll DM, et al. Multi-particle collision dynamics: a particle-based mesoscale simulation approach to the hydrodynamics of complex fluids. Adv Polym Sci. 2009;221:1–91.
   Web of Science ®Google Scholar
• Tomilov A, Videcq A, Chartier T, et al. Tracer diffusion in colloidal suspensions under dilute and crowded conditions with hydrodynamic interactions. J Chem Phys. 2012;137:014503.
   PubMed Web of Science ®Google Scholar
• Vincenti WG, Kruger CH. Introduction to physical gas dynamics. New York: John Wiley and Sons; 1965.
   Google Scholar
• Bird GA. Molecular gas dynamics and the direct simulation of gas flows. Oxford: Oxford University Press; 1994.
   Google Scholar
• Satoh A, Chantrell RW. Application of the dissipative particle dynamics method to magnetic colloidal dispersions. Molec Phys. 2006;104:3287–3302.
   Web of Science ®Google Scholar
• Satoh A. On the method of activating the Brownian motion for application of the lattice Boltzmann method to magnetic particle dispersions. Molec Phys. 2012;110:1–15.
   Web of Science ®Google Scholar
• Satoh A. On the viscosity-modifying method for activating the Brownian motion of magnetic particles in lattice Boltzmann simulations. J Magn Magn Mater. 2013;333:75–86.
   Web of Science ®Google Scholar
• Satoh A. Application of the hybrid-type method of Brownian dynamics and lattice Boltzmann to magnetic particle suspensions. Mech Eng J. 2015;2:14-00506.
   Web of Science ®Google Scholar