Publications in Scientific Journals:

M. Antlanger, G. Kahl, M. Mazars, L. Samaj, E. Trizac:
"The asymmetric Wigner bilayer";
Journal of Chemical Physics, 149 (2018), 244904-1 - 244904-35.

English abstract:
We present a comprehensive discussion of the so-called asymmetric Wigner bilayer system, where
mobile point charges, all of the same sign, are immersed into the space left between two parallel,
homogeneously charged plates (with possibly different charge densities). At vanishing temperatures,
the particles are expelled from the slab interior; they necessarily stick to one of the two plates and form
there ordered sublattices. Using complementary tools (analytic and numerical), we study systematically the self-assembly of the point charges into ordered ground state configurations as the inter-layer
separation and the asymmetry in the charge densities are varied. The overwhelming plethora of emerging Wigner bilayer ground states can be understood in terms of the competition of two strategies of
the system: net charge neutrality on each of the plates on the one hand and particles´ self-organization
into commensurate sublattices on the other hand. The emerging structures range from simple, highly
commensurate (and thus very stable) lattices (such as staggered structures, built up by simple motives)
to structures with a complicated internal structure. The combined application of our two approaches
(whose results agree within remarkable accuracy) allows us to study on a quantitative level phenomena such as over- and underpopulation of the plates by the mobile particles, the nature of phase
transitions between the emerging phases (which pertain to two different universality classes), and the
physical laws that govern the long-range behaviour of the forces acting between the plates. Extensive,
complementary Monte Carlo simulations in the canonical ensemble, which have been carried out at
small, but finite temperatures along selected, well-defined pathways in parameter space confirm the
analytical and numerical predictions within high accuracy. The simple setup of the Wigner bilayer
system offers an attractive possibility to study and to control complex scenarios and strategies of
colloidal self-assembly, via the variation of two system parameters. Published by AIP Publishing.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

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Project Head Gerhard Kahl:

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