Equilibrium and Quasiequilibrium Solutions to the LG Model

To find the distribution function satisfying the conditions (8.2.24)-(8.2.27) one needs more detailed information on quantities q. This problem cannot be solved in a general form. Therefore let us consider first of all the case of structureless particles, when 0°(a) should be replaced with and the condition (8.2.27) is absent. One can readily prove that the quasiequilibrium solution meeting (8.2.24) can be presented in the following way 

FVom (8.2.26) an analogous dependence for the solution (q) = o(q,/x ) can be obtained, where Ha is a constant that does not depend on a and is defined by microparameters ct, j, 

It is worth noting that the system of recurrent relations (9.1.1) or (9.1.2) has the form of the Fermi-Dirac distribution with quantities /iji(/3,t), HisiP. t), /i(t) and Ha having the sense of a mean adsorption well depth. When T - 0, 9i a) 1 provided 

The attractive lateral interactions between adatoms can be taken into account via introduction of the dependence of adsorption potential on the coverage 

For example, using the mean field approximation (Kreuzer 1990) one should postulate 

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