Determination of the Transition Regime Collision Kernel from Mean First Passage Times

REFERENCES

• Adachi , M. , Kousaka , Y. and Okuyama , K. 1985 . Unipolar and Bipolar Diffusion Charging of Ultrafine Aerosol-Particles . J. Aerosol Sci. , 16 ( 2 ) : 109 – 123 .
   Web of Science ®Google Scholar
• Azarov , I. B. and Veshchunov , M. S. 2010 . Development of the New Approach to the Brownian Coagulation Theory: Transition Regime . J. Eng. Thermophys. , 19 ( 3 ) : 128 – 137 .
   Web of Science ®Google Scholar
• Brock , J. R. 1966 . Diffusion to Particles in the Near Free Molecular Regime . J. Colloid Interf. Sci. , 22 : 513 – 516 .
   Web of Science ®Google Scholar
• Buckingham , E. 1914 . On Physical Similar Systems; Illustrations of the Use of Dimensional Equations . Phys. Rev. , 4 : 345 – 376 .
   Web of Science ®Google Scholar
• Buckingham , E. 1915 . Model Experiments and the Forms of Empirical Equations . Trans. ASME , 37 : 263 – 296 .
   Google Scholar
• Chandrasekhar , S. 1943 . Stochastic Problems in Physics and Astronomy . Rev. Mod. Phys. , 15 : 1 – 89 .
   Google Scholar
• Chatterjee , A. , Kerker , M. and Cooke , D. D. 1975 . Brownian Coagulation of Aerosols in the Transition Regime . J. Colloid Interf. Sci. , 53 : 71 – 82 .
   Web of Science ®Google Scholar
• Chernyak , V. 1995 . The Kinetic Theory of Droplet Evaporation . J. Aerosol Sci. , 26 : 873 – 885 .
   Web of Science ®Google Scholar
• Cunningham , E. 1910 . On the Velocity of Steady Fall of Spherical Particles Through Fluid Medium . Proc. Roy. Soc. London Ser. A. , 83 ( 563 ) : 357 – 365 .
   Google Scholar
• Dahneke , B. E. 1983 . “ Simple Kinetic Theory of Brownian Diffusion in Vapors and Aerosols ” . In Theory of Dispersed Multiphase Flow , Edited by: Meyer , R. E. 97 – 133 . New York : Academic Press .
   Google Scholar
• Davis , E. J. and Ray , A. K. 1978 . Submicron Droplet Evaporation in the Continuum and Non-Continuum Regimes . J. Aerosol Sci. , 9 : 411 – 422 .
   Google Scholar
• Douglas , J. F. , Zhou , H. X. and Hubbard , J. B. 1994 . Hydrodynamic Friction and the Capacitance of Arbitrarily-Shaped Objects . Phys. Rev. E , 49 ( 6 ) : 5319 – 5337 .
   Web of Science ®Google Scholar
• Ermak , D. L. and Buckholz , H. 1980 . Numerical-Integration of the Langevin Equation—Monte-Carlo Simulation . J. Comput. Phys. , 35 ( 2 ) : 169 – 182 .
   Web of Science ®Google Scholar
• Filippov , A. V. and Burtscher , H. 1994 . Bipolar Charging of Aerosol-Particles in Electropositive Gas of High-Purity . Aerosol Sci. Technol. , 21 ( 1 ) : 37 – 45 .
   Web of Science ®Google Scholar
• Friedlander , S. K. 2000 . Smoke, Dust, and Haze , New York : Oxford University Press .
   Google Scholar
• Fuchs , N. A. 1934 . Zur Theorie der Koagulation . Z. Phys. Chemie , 171 : 199 – 208 .
   Google Scholar
• Fuchs , N. A. 1959 . Evaporation and Droplet Growth in Gaseous Media , London : Pergamon Press .
   Google Scholar
• Fuchs , N. A. 1963 . On the Stationary Charge Distribution on Aerosol Particles in a Bipolar Ionic Atmosphere . Geofis. Pura Appl. , 51 : 185 – 193 .
   Google Scholar
• Fuchs , N. A. 1964 . The Mechanics of Aerosols , New York : Macmillan .
   Google Scholar
• Fuchs , N. A. and Sutugin , A. G. 1970 . Highly Dispersed Aerosols , Ann Arbor : Ann Arbor Science Publishers .
   Google Scholar
• Gatti , M. and Kortshagen , U. 2008 . Analytical Model of Particle Charging in Plasmas Over a Wide Range of Collisionality . Phys. Rev. E , 78 ( 4 ) : 046402
   Web of Science ®Google Scholar
• Given , J. A. , Hubbard , J. B. and Douglas , J. F. 1997 . A First-Passage Algorithm for the Hydrodynamic Friction and Diffusion-Limited Reaction Rate of Macromolecules . J. Chem. Phys. , 106 ( 9 ) : 3761 – 3771 .
   Web of Science ®Google Scholar
• Gopalakrishnan , R. , Thajudeen , T. and Hogan , C. J. 2011 . Collision Limited Reaction Rates for Arbitrarily Shaped Particles Across the Entire Diffusive Knudsen Number Range . J. Chem. Physics ,
   PubMed Web of Science ®Google Scholar
• Gurav , A. , Kodas , T. , Pluym , T. and Xiong , Y. 1993 . Aerosol Processing of Materials . Aerosol Sci. Technol. , 19 ( 4 ) : 411 – 452 .
   Web of Science ®Google Scholar
• Gutsch , A. , Pratsinis , S. E. and Loffler , F. 1995 . Agglomerate Structure and Growth-Rate by Trajectory Calculations of Monomer-Cluster Collisions . J. Aerosol Sci. , 26 ( 2 ) : 187 – 199 .
   Web of Science ®Google Scholar
• Heine , M. C. and Pratsinis , S. E. 2007 . Brownian Coagulation at High Concentration . Langmuir , 23 ( 19 ) : 9882 – 9890 .
   PubMed Web of Science ®Google Scholar
• Huang , D. D. , Seinfeld , J. H. and Okuyama , K. 1991 . Image Potential Between a Charged-Particle and an Uncharged Particle in Aerosol Coagulation Enhancement in All Size Regimes and Interplay with Vanderwaals Forces . J. Colloid Interf. Sci. , 141 ( 1 ) : 191 – 198 .
   Web of Science ®Google Scholar
• Isella , L. and Drossinos , Y. 2010 . Langevin Agglomeration of Nanoparticles Interacting via a Central Potential . Phys. Rev. E , 82 : 011404
   Web of Science ®Google Scholar
• Jeans , J. 1954 . The Dynamical Theory of Gases , New York : Dover .
   Google Scholar
• Kim , D. S. , Park , S. H. , Song , Y. M. , Kim , D. H. and Lee , K. W. 2003 . Brownian Coagulation of Polydisperse Aerosols in the Transition Regime . J. Aerosol Sci. , 34 : 859 – 868 .
   Web of Science ®Google Scholar
• Klein , G. 1952 . Mean First-Passage Times of Brownian Motion and Related Problems . Proc. Roy. Soc. London Ser. A , 211 : 431 – 443 .
   Web of Science ®Google Scholar
• Kuang , C. , McMurry , P. H. and McCormick , A. V. 2009 . Determination of Cloud Condensation Nuclei Production from Measured New Particle Formation Events . Geophys. Res. Lett. , 36 : L09822
   Web of Science ®Google Scholar
• Larriba , C. , Hogan , C. J. , Attoui , M. , Borrajo , R. , Fernandez-Garcia , J. and Fernandez de la Mora , J. 2011 . The Mobility-Volume Relationship Below 3.0 nm Examined by Tandem Mobility-Mass Measurement . Aerosol Sci. Technol. , 45 : 453 – 467 .
   Web of Science ®Google Scholar
• Li , W. and Davis , E. J. 1996 . Aerosol Evaporation in the Transition Regime . Aerosol Sci. Technol. , 25 : 11 – 21 .
   Web of Science ®Google Scholar
• Loyalka , S. K. 1973 . Condensation on a Spherical Droplet . J. Chem. Physics. , 58 : 354 – 356 .
   Web of Science ®Google Scholar
• Loyalka , S. K. 1976 . Brownian Coagulation of Aerosols . J. Colloid Interf. Sci. , 57 : 578 – 579 .
   Web of Science ®Google Scholar
• Loyalka , S. K. 1982 . Condensation on a Spherical Droplet, II . J. Colloid Interf. Sci. , 87 : 216 – 224 .
   Web of Science ®Google Scholar
• Madler , L. , Lall , A. A. and Friedlander , S. K. 2006 . One-Step Aerosol Synthesis of Nanoparticle Agglomerate Films: Simulation of Film Porosity and Thickness . Nanotechnology , 17 : 4783 – 4795 .
   Web of Science ®Google Scholar
• Narsimhan , G. and Ruckenstein , E. 1985 . Monte-Carlo Simulation of Brownian Coagulation over the Entire Range of Particle Sizes from near Molecular to Colloidal—Connection Between Collision Efficiency and Interparticle Forces . J. Colloid Interf. Sci. , 107 ( 1 ) : 174 – 193 .
   Web of Science ®Google Scholar
• Natanson , G. 1960 . On the Theory of Charging of Amicroscopic Aerosol Particles Resulting from the Capture of Gaseous Ions . Sov. Phys. Tech. Phys. , 5 : 538 – 551 .
   Google Scholar
• Northrup , S. H. , Allison , S. A. and Mccammon , J. A. 1984 . Brownian Dynamics Simulation of Diffusion-Influenced Bimolecular Reactions . J. Chem. Phys. , 80 ( 4 ) : 1517 – 1526 .
   Web of Science ®Google Scholar
• Northrup , S. H. , Curvin , M. S. , Allison , S. A. and Mccammon , J. A. 1986 . Optimization of Brownian Dynamics Methods for Diffusion-Influenced Rate-Constant Calculations . J. Chem. Phys. , 84 ( 4 ) : 2196 – 2203 .
   Web of Science ®Google Scholar
• Nowakowski , B. and Sitarski , M. 1981 . Brownian Coagulation of Aerosol Particles by Monte Carlo Simulation . J. Colloid Interf. Sci. , 83 : 614 – 622 .
   Web of Science ®Google Scholar
• Rader , D. J. 1985 . Application of the Tandem Differential Mobility Analyzer to Studies of Droplet Evaporation and Growth. Ph.D. thesis , Minneapolis, MN : Department of Mechanical Engineering, University of Minnesota .
   Google Scholar
• Ray , A. K. , Davis , E. J. and Ravindran , P. 1979 . “ Determination of Ultra-Low Vapor Pressures by Submicron Droplet Evaporation ” . In J. Chem. Phys. Vol. 71 , 582 – 587 .
   Google Scholar
• Rogak , S. N. and Flagan , R. C. 1992 . Coagulation of Aerosol Agglomerates in the Transition Regime . J. Colloid Interf. Sci. , 151 ( 1 ) : 203 – 224 .
   Web of Science ®Google Scholar
• Sahni , D. C. 1966 . The Effect of a Black Sphere on the Flux Distribution in an Infinite Moderator . J. Nucl. Energy , 20 : 915 – 920 .
   Web of Science ®Google Scholar
• Sahni , D. C. 1983 . An Exact Solution of Fokker–Planck Equation and Brownian Coagulation in the Transition Regime . J. Colloid Interf. Sci. , 91 : 418 – 429 .
   Web of Science ®Google Scholar
• Sceats , M. G. 1989 . Brownian Coagulation in Aerosols—The Role of Long Range Forces . J. Colloid Interf. Sci. , 129 : 105 – 112 .
   Web of Science ®Google Scholar
• Seaver , A. E. 1984 . Closed Form Equations for the Evaporation Rate and Droplet Size of Knudsen Droplets . Aerosol Sci. Technol. , 3 : 177 – 185 .
   Web of Science ®Google Scholar
• Shon , S.-N. , Kasper , G. and Shaw , D. T. 1980 . An Experimental Study of Brownian Coagulation in the Transition Regime . J. Colloid Interf. Sci. , 73 : 233 – 243 .
   Web of Science ®Google Scholar
• Sitarski , M. and Nowakowski , B. 1979 . Condensation Rate of a Trace Vapor on Knudsen Aerosol from the Solution of the Boltzmann Equation . J. Colloid Interf. Sci. , 72 : 113 – 122 .
   Web of Science ®Google Scholar
• Sitarski , M. and Seinfeld , J. H. 1977 . Brownian Coagulation in the Transition Regime . J. Colloid Interf. Sci. , 61 : 261 – 271 .
   Web of Science ®Google Scholar
• Swihart , M. T. 2003 . Vapor-Phase Synthesis of Nanoparticles . Curr. Opin. Colloid Interface Sci. , 8 : 127 – 133 .
   Web of Science ®Google Scholar
• Szymanski , W. W. , Majerowicz , A. and Wagner , P. E. 1989 . Measurement of Brownian Coagulation in Monodispersed and Bidispersed Liquid Aerosols . Aerosol Sci. Technol. , 11 : 1 – 10 .
   Web of Science ®Google Scholar
• Trzeciak , T. M. , Podgorski , A. and Marijnissen , J. C. M. 2004 . Langevin Dynamics Simulation of Aerosol Coagulation in Highly Concentrated Systems . Inz. Chem. Procesowa , 25 : 1741 – 1746 .
   Google Scholar
• Veshchunov , M. S. 2010 . A New Approach to the Brownian Coagulation Theory . J. Aerosol Sci. , 41 : 895 – 910 .
   Web of Science ®Google Scholar
• Vincenti , W. G. and Kruger , C. H. 1975 . Introduction to Physical Gas Dynamics , Huntington, NY : Krieger .
   Google Scholar
• Wagner , P. E. and Kerker , M. 1977 . Brownian Coagulation of Aerosols in Rarified Gases . J. Chem. Phys. , 66 : 638 – 646 .
   Web of Science ®Google Scholar