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A Droplet Within the Spherical Model

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Abstract

Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in this case the droplet boundary is always diffuse, as opposed to sharp, and find the corresponding density profiles (droplet shapes). The spatial location of a droplet is not fixed in translation-invariant models, hence, their natural states are described by mixed phases. To obtain pure macroscopic states (which describe localized droplets) one can use generalized quasi-averages. Conventional quasi-averaging deforms droplets and, hence, can not be used for this purpose. On the contrary, application of the generalized method of quasi-averages to the spherical model yields density profiles which do not depend on the magnitude of the applied external field.

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  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia

    A. E. Patrick

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  1. A. E. Patrick
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Patrick, A.E. A Droplet Within the Spherical Model. J Stat Phys 142, 1085–1104 (2011). https://doi.org/10.1007/s10955-011-0150-x

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