General no-go condition for stochastic pumping

The control of chemical dynamics requires understanding the effect of time-dependent transition rates between states of chemo-mechanical molecular configurations. Pumping refers to generating a net current, e.g. per period in the time-dependence, through a cycle of consecutive states. The working of artificial machines or synthesized molecular motors depends on it. In this paper we give short and simple proofs of no-go theorems, some of which appeared before but here with essential extensions to non-Markovian dynamics, including the study of the diffusion limit. It allows to exclude certain protocols in the working of chemical motors where only the depth of the energy well is changed in time and not the barrier height between pairs of states. We also show how pre-existing steady state currents are in general modified with a multiplicative factor when this time-dependence is turned on.Comment: 8 pages; v2: minor changes, 1 reference adde

A geometric approach to Mathon maximal arcs

In 1969 Denniston gave a construction of maximal arcs of degree d in Desarguesian projective planes of even order q, for all d dividing q. In 2002 Mathon gave a construction method generalizing the one of Denniston. We will give a new geometric approach to these maximal arcs. This will allow us to count the number of isomorphism classes of Mathon maximal arcs of degree 8 in PG(2,2^h), h prime.Comment: 20 page

Educating Professionals Leveraging Diversity in Globalizing Education

This chapter is based on the premise that globalization will lead to increased cultural diversity in educational settings that can be leveraged into enhanced learning capabilities for all those involved. It also posits that leveraging diversity can and will be used by universities while competing and cooperating globally. Much of the literature on globalization warns against market values increasingly dominating academic values and basic human needs, and against ‘Americanization’ or cultural homogenization. By distinguishing five categories of globalization effects on higher education, we argue that globalization is a much broader issue that leaves ample room for individual universities, faculties, business schools, and sections to construct their own responses to globalization and, in that way, help shape its future course. The second part of the chapter illustrates how one section of one university is responding to globalizing education. It discusses the learning by sharing concept and shows how this concept was used in three recent education initiatives to leverage diversity in the classroom. These initiatives indicate how the five globalization effects on higher education can be exploited in concrete educational settings. They also demonstrate that leveraging diversity is a learning process in itself. The lesson learned from these initiatives are therefore discussed in the final section

Partial flocks of the quadratic cone yielding Mathon maximal arcs

N. Hamilton and J. A. Thas describe a link between maximal arcs of Mathon type and partial flocks of the quadratic cone. This link is of a rather algebraic nature. In this paper we establish a geometric connection between these two structures. We also define a composition on the flock planes and use this to work out an analogue of the synthetic version of Mathon's Theorem. Finally, we show how it is possible to construct a maximal arc of Mathon type of degree 2d, containing a Denniston arc of degree d provided that there is a solution to a certain given system of trace conditions

Archimedes' law and its corrections for an active particle in a granular sea

We study the origin of buoyancy forces acting on a larger particle moving in a granular medium subject to horizontal shaking and its corrections before fluidization. In the fluid limit Archimedes' law is verified; before the limit memory effects counteract buoyancy, as also found experimentally. The origin of the friction is an excluded volume effect between active particles, which we study more exactly for a random walker in a random environment. The same excluded volume effect is also responsible for the mutual attraction between bodies moving in the granular medium. Our theoretical modeling proceeds via an asymmetric exclusion process, i.e., via a dissipative lattice gas dynamics simulating the position degrees of freedom of a low density granular sea.Comment: 22 pages,5 figure

Molding Molecular and Material Properties by Strong Light-Matter Coupling

When atoms come together and bond, we call these new states molecules, and their properties determine many aspects of our daily life. Strangely enough, it is conceivable for light and molecules to bond, creating new hybrid light-matter states with far-reaching consequences for these strongly coupled materials. Even stranger, there is no `real' light needed to obtain the effects, it simply appears from the vacuum, creating `something from nothing'. Surprisingly, the setup required to create these materials has become moderately straightforward. In its simplest form, one only needs to put a strongly absorbing material at the appropriate place between two mirrors, and quantum magic can appear. Only recently has it been discovered that strong coupling can affect a host of significant effects at a material and molecular level, which were thought to be independent of the `light' environment: phase transitions, conductivity, chemical reactions, etc. This review addresses the fundamentals of this opportunity: the quantum mechanical foundations, the relevant plasmonic and photonic structures, and a description of the various applications, connecting materials chemistry with quantum information, nonlinear optics and chemical reactivity. Ultimately, revealing the interplay between light and matter in this new regime opens attractive avenues for many applications in the material, chemical, quantum mechanical and biological realms

A rapid-screening approach to detect and quantify microplastics based on fluorescent tagging with Nile Red

A new approach is presented for analysis of microplastics in environmental samples, based on selective fluorescent staining using Nile Red (NR), followed by density-based extraction and filtration. The dye adsorbs onto plastic surfaces and renders them fluorescent when irradiated with blue light. Fluorescence emission is detected using simple photography through an orange filter. Image-analysis allows fluorescent particles to be identified and counted. Magnified images can be recorded and tiled to cover the whole filter area, allowing particles down to a few micrometres to be detected. The solvatochromic nature of Nile Red also offers the possibility of plastic categorisation based on surface polarity characteristics of identified particles. This article details the development of this staining method and its initial cross-validation by comparison with infrared (IR) microscopy. Microplastics of different sizes could be detected and counted in marine sediment samples. The fluorescence staining identified the same particles as those found by scanning a filter area with IR-microscopy