Entropy production of cyclic population dynamics

Entropy serves as a central observable in equilibrium thermodynamics. However, many biological and ecological systems operate far from thermal equilibrium. Here we show that entropy production can characterize the behavior of such nonequilibrium systems. To this end we calculate the entropy production for a population model that displays nonequilibrium behavior resulting from cyclic competition. At a critical point the dynamics exhibits a transition from large, limit-cycle like oscillations to small, erratic oscillations. We show that the entropy production peaks very close to the critical point and tends to zero upon deviating from it. We further provide analytical methods for computing the entropy production which agree excellently with numerical simulations.Comment: 4 pages, 3 figures and Supplementary Material. To appear in Phys. Rev. Lett.

The Vela Pulsar Progenitor Was Most Likely a Binary Merger

Stellar evolution theory restricted to single stars predicts a minimum mass for core-collapse supernovae (CCSNe) of around eight solar masses; this minimum mass corresponds to a maximum age of around 45 million years for the progenitor and the coeval population of stars. Binary evolution complicates this prediction. For example, an older stellar population around 100 million years could contain stellar mergers that reach the minimum mass for core collapse. Despite this clear prediction by binary evolution, there are few, if any CCSNe associated with a distinctly older stellar population...until now. The stellar population within 150 pc of the Vela Pulsar is inconsistent with single-star evolution only; instead, the most likely solution is that the stellar population is $\ge$80 Myr old, and the brightest stars are mass gainers and/or mergers, the result of binary evolution. The evidence is as follows. Even though the main sequence is clearly dominated by a $\ge$80-Myr-old population, a large fraction of the corresponding red giants is missing. The best-fitting single-star model expects 51.5 red giants, yet there are only 22; the Poisson probability of this is $1.7 \times 10^{-6}$. In addition, there is an overabundance of bright, young-looking stars (25-30 Myrs old), yet there is not a corresponding young main sequence (MS). Upon closer inspection, the vast majority of the young-looking stars show either past or current signs of binary evolution. These new results are possible due to exquisite Gaia parallaxes and a new age-dating software called {\it Stellar Ages}.Comment: 13 pages, 7 figures, 1 table. submitted to Ap

Probing the structural and electronic response of Magnus green salt compounds [Pt(NH2R)4][PtCl4] (R = H, CH3) to pressure

Despite possessing the desirable crystal packing and short Pt⋯Pt stacking distances required for a large piezoresistive response, the conductivity-pressure response of the Magnus green salt [Pt(NH3)4][PtCl4] is extremely sluggish. Through a combination of high-pressure X-ray diffraction and hybrid-DFT solid state calculations this study demonstrates that the poor conductivity-pressure response is due to a low volumetric compression anisotropy, a relatively large ambient pressure band gap and a lack of dispersion in the conduction band. Ligand modification (from NH3 to NH2CH3) does not enhance the piezoresistive response, causing even lower anisotropy of the volumetric compression and an unexpected phase transition at above 2 GPa. This study demonstrates that consideration of frontier band dispersion is a key design criterion, alongside crystal packing and Pt⋯Pt stacking distances, for piezoresistive materials

Metaphysics or Modernity? Contributions to the Bamberg Summer School 2012

This collection of essays originated in the Summer School ‘Metaphysics or Modernity?’, which was held at the University of Bamberg in August 2012. Designed as a forum for graduate students in philosophy, the Summer School brought together a highly diverse group of young academics who – more often than not – came from utterly different schools and traditions of thought. This pluralism is reflected in the pages of this book. While the volume is roughly divided into two halves – one with a more historical focus, the other with a more systematic focus – the reader will find an unusually wide array of topics and questions treated here. Since the aforementioned pluralism was one of the main strengths of our Summer School, this is something in which we take much prid