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  • memory function  (1)
  • nonequilibrium configurations  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Adsorption 2 (1996), S. 89-94 
    ISSN: 1572-8757
    Keywords: protein adsorption ; desorption ; memory function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract A formalism for the adsorption kinetics of systems where the desorption rate is a function of the residence time of the adsorbed particle is presented. The adsorbed density at time t is expressed simply as a convolution of a memory kernel, Q(t), and the available surface function, φ(t). For completely irreversible adsorption, Q(t) = 1, while for a system which approaches an equilibrium state, Q tends to zero at sufficiently large times. When the desorption rate, k d , is constant, Q(t) = exp(−k d t). Two models for the memory kernel are considered. In the first, the molecule is assumed to interact with the surface via two ligands which bind and debind at rates λ and µ respectively. In the second model, the adsorption is assumed to be partially reversible: molecules transform to a permanently bound state at a rate λ and desorb at a rate µ. In both models, the adsorption kinetics and memory kernels are found analytically. Strategies for determining the memory function from experimental data are discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 63 (1991), S. 167-202 
    ISSN: 1572-9613
    Keywords: Random sequential addition ; hard-core particles ; distribution functions ; nonequilibrium configurations ; Kirkwood-Salsburg-like equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Random sequential addition (RSA) of hard objects is an irreversible process defined by three rules: objects are introduced on a surface (or ad-dimensional volume) randomly and sequentially, two objects cannot overlap, and, once inserted, an object is clamped in its position. The configurations generated by an RSA can be characterized, in the macroscopic limit, by a unique set of distribution functions and a density. We show that these “nonequilibrium” RSA configurations can be described in a manner which, in many respects, parallels the usual statistical mechanical treatment of equilibrium configurations: Kirkwood-Salsburg-like hierarchies for the distribution functions, zero-separation theorems, diagrammatic expansions, and approximate equations for the pair distribution function. Approximate descriptions valid for low to intermediate densities can be combined with exact results already derived for higher densities close to the jamming limit of the process. Similarities and differences between the equilibrium and the RSAconfigurations are emphasized. Finally, the potential application of RSA processes to the study of glassy phases is discussed.
    Type of Medium: Electronic Resource
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