Chiral surfaces self-assembling in one-component systems with isotropic interactions

We show that chiral symmetry can be broken spontaneously in one-component systems with isotropic interactions, i.e. many-particle systems having maximal a priori symmetry. This is achieved by designing isotropic potentials that lead to self-assembly of chiral surfaces. We demonstrate the principle on a simple chiral lattice and on a more complex lattice with chiral super-cells. In addition we show that the complex lattice has interesting melting behavior with multiple morphologically distinct phases that we argue can be qualitatively predicted from the design of the interaction.Comment: 4 pages, 4 figure

From Lagrangian to Quantum Mechanics with Symmetries

We present an old and regretfully forgotten method by Jacobi which allows one to find many Lagrangians of simple classical models and also of nonconservative systems. We underline that the knowledge of Lie symmetries generates Jacobi last multipliers and each of the latter yields a Lagrangian. Then it is shown that Noether's theorem can identify among those Lagrangians the physical Lagrangian(s) that will successfully lead to quantization. The preservation of the Noether symmetries as Lie symmetries of the corresponding Schr\"odinger equation is the key that takes classical mechanics into quantum mechanics. Some examples are presented.Comment: To appear in: Proceedings of Symmetries in Science XV, Journal of Physics: Conference Series, (2012

Novel self-assembled morphologies from isotropic interactions

We present results from particle simulations with isotropic medium range interactions in two dimensions. At low temperature novel types of aggregated structures appear. We show that these structures can be explained by spontaneous symmetry breaking in analytic solutions to an adaptation of the spherical spin model. We predict the critical particle number where the symmetry breaking occurs and show that the resulting phase diagram agrees well with results from particle simulations.Comment: 4 pages, 4 figure

The sensitivity of the MUAM model to the variability of non-orographic gravity wave distributions

Numerical experiments with the Middle and Upper Atmosphere Model with modified parameterization settings were carried out to study the response of the mesosphere/lower thermosphere (MLT) wind circulation to the non-orographic gravity waves (GWs) originating from the lower atmosphere. The modification of the phase speed spectrum controls the height of the zonal wind reversal due to strengthening of the westerly winds. The simulation results obtained for various latitudinal distributions of the intensity of non-orographic GWs at the source level show that the zonal circulation is most sensitive to GWs variability at high latitudes. The latitudinal distribution of GW intensity, produced by the global distribution of convective processes and seasonal variations in GW sources, and modified phase speed spectrum made it possible to simulate the major zonal circulation structures observed by MLT wind radar.Numerische Experimente mit dem Middle and Upper Atmosphere Model mit modifizierten Parametriesierungseinstellungen wurden durchgeführt, um die Reaktion der Zirkulation der in der Mesosphäre / unteren Thermosphäre (MLT) auf nicht-orographische Schwerewellen (SW) zu untersuchen, die von der unteren Atmosphäre ausgehen. Die Modifikation des Phasengeschwindikeitsspektrums steuert die Höhe der zonalen Windumkehr aufgrund der Verstärkung der Westwinde. Die Simulationsergebnisse für verschiedene Breitenverteilungen der Intensität nicht-orographischer SW in Quellenhöhe zeigen, dass die zonale Zirkulation am stärksten auf SW-Variabilität in hohen Breiten reagiert. Die Breitenverteilung der SW-Intensität, die durch die globale Verteilung konvektiver Prozesse und saisonaler Variationen der SW-Quellen erzeugt wird, und das modifizierte Phasengeschwindkeitsspektrum ermöglichten es, die wichgsten zonalen Zirkulationsstrukturen zu simulieren, die von einem MLT-Windradar beobachtet wurden

Using the uncertainty principle to design simple interactions for targeted self-assembly

We present a method that systematically simplifies isotropic interactions designed for targeted self-assembly. The uncertainty principle is used to show that an optimal simplification is achieved by a combination of heat kernel smoothing and Gaussian screening of the interaction potential in real and reciprocal space. We use this method to analytically design isotropic interactions for self-assembly of complex lattices and of materials with functional properties. The derived interactions are simple enough to narrow the gap between theory and experimental implementation of theory based designed self-assembling materials

Ionospheric response during low and high solar activity

We analyse solar extreme ultraviolet (EUV) irradiance observed by the Solar EUV Experiment (SEE) onboard the Thermosphere Ionosphere Mesosphere Energetics and Dynamics (TIMED) satellite, and solar proxies (the F10.7 index, and Mg-II index), and compare their variability with the one of the global mean Total Electron Content (GTEC). Cross-wavelet analysis confirms the joint 27 days periodicity in GTEC and solar proxies. We focus on a comparison for solar minimum (2007-2009) and maximum (2013-2015) and find significant differences in the correlation during low and high solar activity years. GTEC is delayed by approximately 1-2 days in comparison to solar proxies during both low and high solar activity at the 27 days solar rotation period. To investigate the dynamics of the delay process, Coupled Thermosphere Ionosphere Plasmasphere electrodynamics model simulations have been performed for low and high solar activity conditions. Preliminary results using cross correlation analysis show an ionospheric delay of 1 day in GTEC with respect to the F10.7 index during low and high solar activity.Wir analysieren vom Solar Extreme Ultraviolet Experiment (SEE) an Bord des Thermosphere-Ionosphere-Mesosphere Energetics and Dynamics (TIMED) Satelliten gemessene solare EUV-Irradianzen, solare Proxies (den F10.7-Index und denMg-II-Index), und vergleichen deren Variabilität mit derjenigen des global gemittelten Gesamtelektronengehalts (GTEC). Kreuzwaveletanalysen bestätigen eine gemeinsame Variabilität im Periodenbereich der solaren Rotation (27 Tage). Wir vergleichen insbesondere den Zusammenhang während des solaren Minimums (2007- 2009) und Maximums (2013-2015), wobei signifikante Unterschiede der Korrelation zwischen solaren und ionosphärischen Parametern auftreten. Es tritt eine Verzögerung der Maxima und Minima von GTEC gegenüber denjenigen der solaren Proxies von einem Tag sowohl im solaren Minimum als auch im solaren Maximum auf

The Iberian Peninsula in the First Global Trade. Geostrategy and Mercantile Network interests (XV to XVIII centuries)

Fundación Cultura de Paz, Brunei Gallery LondonPeer reviewe