By L. Garrido

ISBN-10: 3540102515

ISBN-13: 9783540102519

ISBN-10: 3540383441

ISBN-13: 9783540383444

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Extra resources for Systems Far from Equilibrium: Sitges Conference on Statistical Mechanics, June 1980, Sitges, Barcelona/Spain

Example text

Because the analysis is also useful in understan- ding the mathematical nature of the condensation point, I shall devote the remainder of this Section to a review of its main features. 6) Bnd the symbol ~ ~c denotes an integral over the space of smooth functions c~) subject only to, say, periodic boundsry conditions. The definition of the functional integral may be understood to include s normalization factor which we shall not need to specify eny more precisely. 10). c(r) = cO = constant. Fp{c} is stationary, ~FF/~c = O, 2 to the saddle point at z = O.

The procedure for evsluating the contribution to g from the region near c m is to integrate with respect to SO down to c ~ from the metastable side of the saddle point, and then to bend the contour into the complex ~0 plane so 8s to follow the path of steepest descent ss in Figure 2. 11) and from the complex part of the contains e factor ~) : i~ 1 ~ 0 contour. 18) which may be identified as the three-dimensional sub-volume of cspace spanned by ellowing the droplet to occur st any point in the physical volume ¥.

1 4 ) which d e s c r i b e s t h e r e - e v s p o r a t i o n of subcriticsl side droplets. The numerical value of b has been chosen to make the theory agree ssymptoticelly with the amplitude of the Lifshitz-Slyozov t 1/3 law. The equetion of motion for ~ similarly becomes The f i r s t term on the r i g h t - h a n d from ( ~ . 2 7 ) . distribution s i d e i s o b v i o u s l y the k i n e t i c The r e m a i n i n g terms d e s c r i b e s h i f t s ~ term i n the mean o f the due to nucleation ~nd re-evaporetion respectively.

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Systems Far from Equilibrium: Sitges Conference on Statistical Mechanics, June 1980, Sitges, Barcelona/Spain by L. Garrido


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