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Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
Because of the spatially long-ranged nature of spontaneous fluctuations in
thermal non-equilibrium systems, they are affected by boundary conditions for
the fluctuating hydrodynamic variables. In this paper we consider a liquid
mixture between two rigid and impervious plates with a stationary concentration
gradient resulting from a temperature gradient through the Soret effect. For
liquid mixtures with a large Lewis number, we are able to obtain explicit
analytical expressions for the intensity of the non-equilibrium concentration
fluctuations as a function of the frequency and the wave number of
the fluctuations. In addition we elucidate the spatial dependence of the
intensity of the non-equilibrium fluctuations responsible for a non-equilibrium
Casimir effect.Comment: 9 pages, 2 figure
Pairing in Inhomogeneous Superconductors
Starting from a t-J model, we introduce inhomogeneous terms to mimic stripes.
We find that if the inhomogeneous terms break the SU(2) spin symmetry the
binding between holes is tremendously enhanced in the thermodynamic limit. In
any other model (including homogeneous models) the binding in the thermodynamic
limit is small or neglible. By including these inhomogeneous terms we can
reproduce experimental neutron scattering data. We also discuss the connection
of the resulting inhomogeneity-induced superconductivity to recent experimental
evidence for a linear relation between magnetic incommensurability and the
superconducting transition temperature, as a function of doping.Comment: 4 pages, 2 figure
Square-free class sizes in products of groups
We obtain some structural properties of a factorised group , given
that the conjugacy class sizes of certain elements in are not
divisible by , for some prime . The case when is a mutually
permutable product is especially considered
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