Estimation of the available surface and the jamming coverage in the Random Sequential Adsorption of a binary mixture of disks

A simple analytical expression is proposed for the area available to a disk on a surface for a Random Sequential Adsorption (RSA) of binary mixtures of disks. The expression was obtained by combining the low-order terms of the density expansion of the available area with the asymptotic behaviour of the surface coverage near the jamming point. Comparison with Monte Carlo simulations shows that this approach provides a fair estimation of the jamming coverage for both kinds of disks.

[1]  Kinetics of irreversible adsorption of mixtures of pointlike and fixed-size particles: Exact results. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[2]  B. Widom,et al.  Random Sequential Addition of Hard Spheres to a Volume , 1966 .

[3]  J. Feder.  Random sequential adsorption , 1980 .

[4]  Y. Pomeau.  Some asymptotic estimates in the random parking problem , 1980 .

[5]  Jian-Sheng Wang.  Series expansion and computer simulation studies of random sequential adsorption , 2000 .

[6]  W. G. Hoover,et al.  Fifth and Sixth Virial Coefficients for Hard Spheres and Hard Disks , 1964 .

[7]  J. Hansen,et al.  Freezing of binary hard disk alloys I: Equation-of-state and pair structure of the fluid phase , 1988 .

[8]  Meakin,et al.  Random-sequential adsorption of disks of different sizes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[9]  E. J. J. Rensburg.  Virial coefficients for hard discs and hard spheres , 1993 .

[10]  Random sequential adsorption of binary mixtures on a line. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Nien-Hwa Linda Wang,et al.  New equations for multicomponent adsorption kinetics , 1994 .

[12]  Talbot,et al.  Random sequential adsorption of mixtures. , 1989, Physical review. A, General physics.

[13]  Given.  Liquid-state methods for random media: Random sequential adsorption. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[14]  K. E. Starling,et al.  Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres , 1971 .

[15]  Jamming coverage in competitive random sequential adsorption of a binary mixture. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  RANDOM SEQUENTIAL ADSORPTION ON PARTIALLY COVERED SURFACES , 1998 .

[17]  L. Tonks.  The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres , 1936 .

[18]  Comment on "Kinetics of random sequential adsorption" , 1989, Physical review letters.

[19]  Julian Talbot,et al.  Surface exclusion effects in adsorption processes , 1989 .

[20]  I. Langmuir.  THE ADSORPTION OF GASES ON PLANE SURFACES OF GLASS, MICA AND PLATINUM. , 1918 .

[21]  J. Solana,et al.  Contact pair correlation functions and equation of state for additive hard disk fluid mixtures , 2001 .

[22]  H. Frisch,et al.  Theory of the Two‐ and One‐Dimensional Rigid Sphere Fluids , 1961 .

[23]  Zbigniew Adamczyk,et al.  Particle adsorption and deposition: role of electrostatic interactions , 2003 .

[24]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

[25]  B. Widom,et al.  Some Topics in the Theory of Fluids , 1963 .

[26]  J. Vera,et al.  A generalized mixing rule for hard-sphere equations of state of Percus–Yevick type , 1998 .

[27]  K. Hall.  Another Hard‐Sphere Equation of State , 1972 .

[28]  R. Swendsen.  Dynamics of random sequential adsorption , 1981 .

[29]  N. G. Almarza,et al.  Virial coefficients of hard-sphere mixtures , 1998 .

[30]  Jian-Sheng Wang,et al.  Random sequential adsorption: Series and virial expansions , 1991 .