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A Kinetic View of Statistical Physics by Pavel L.,Krapivsky

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7 Adsorption

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Suppose that gas molecules impinge upon and adsorb on a surface, or substrate. If the incident molecules are monomers that permanently attach to single adsorption sites on the surface and there are no interactions between adsorbed monomers, then the density ρ of occupied sites increases with time at a rate proportional to the density of vacancies, namely, dρ/dt = 1 − ρ. Thus ρ(t) = 1 − et, and vacancies disappear exponentially in time. However, if each arriving molecule covers more than one site on the substrate, then a vacant region ...

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