Defect Formation and Kinetics of Atomic Terrace Merging

Pairs of atomic scale terraces on a single crystal metal surface can be made to merge controllably under suitable conditions to yield steps of double height and width. We study the effect of various physical parameters on the formation of defects in a kinetic model of step doubling. We treat this manifestly non- equilibrium problem by mapping the model onto a 1-D random sequential adsorption problem and solving this analytically. We also do simulations to check the validity of our treatment. We find that our treatment effectively captures the dynamic evolution and the final state of the surface morphology. We show that the number and nature of the defects formed is controlled by a single dimensionless parameter $q$. For $q$ close to one we show that the fraction of defects rises linearly with $\epsilon \equiv 1-q$ as $0.284 \times \epsilon$. We also show that one can arrive at the final state faster and with fewer defects by changing the parameter with time.Comment: 17 pages, 8 figures. To be submitted to Phys. Rev.

Invasion threshold in heterogeneous metapopulation networks

We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity pattern. In SIR-like processes, along with the standard local epidemic threshold, the system exhibits a global invasion threshold. We provide an explicit expression of the threshold that sets a critical value of the diffusion/mobility rate below which the epidemic is not able to spread to a macroscopic fraction of subpopulations. The invasion threshold is found to be affected by the topological fluctuations of the metapopulation network. The presented results provide a general framework for the understanding of the effect of travel restrictions in epidemic containment.Comment: 4 pages, 2 figure

Solution of an infection model near threshold

We study the Susceptible-Infected-Recovered model of epidemics in the vicinity of the threshold infectivity. We derive the distribution of total outbreak size in the limit of large population size $N$. This is accomplished by mapping the problem to the first passage time of a random walker subject to a drift that increases linearly with time. We recover the scaling results of Ben-Naim and Krapivsky that the effective maximal size of the outbreak scales as $N^{2/3}$, with the average scaling as $N^{1/3}$, with an explicit form for the scaling function

The history and characteristics of troodos and olympus rose clover

ROSE CLOVER is being produced and used in increasing quantities in south-western Australia. The first line named was designated Kondinin and five lines have now been given cultivar (variety) names. One of the first samples of rose clover, C.P.I. 13949, introduced into Western Australia proved to be a mixture of two very similar types, differing visibly only in leaf markings. The mixed sample was named Troodos,* and the selection from it, Olympus. This paper describes the origin of the two varieties, their history and characteristics

The history, characteristics and potential of Kondinin rose clover

Experimental and field performances of rose clover over fen years suggest that it will be increasingly used as a pasture legume in south-western Australia. A number of lines differing in maturity and leaf markings have been selected locally and given cultivar (variety) names The first of these lines to be selected was designated Kondinin. This paper describes its origin, history, characteristics and performance

Dynamics and Steady States in excitable mobile agent systems

We study the spreading of excitations in 2D systems of mobile agents where the excitation is transmitted when a quiescent agent keeps contact with an excited one during a non-vanishing time. We show that the steady states strongly depend on the spatial agent dynamics. Moreover, the coupling between exposition time ($\omega$) and agent-agent contact rate (CR) becomes crucial to understand the excitation dynamics, which exhibits three regimes with CR: no excitation for low CR, an excited regime in which the number of quiescent agents (S) is inversely proportional to CR, and for high CR, a novel third regime, model dependent, here S scales with an exponent $\xi -1$, with $\xi$ being the scaling exponent of $\omega$ with CR

A Mesolithic settlement site at Howick, Northumberland: a preliminary report

Excavations at a coastal site at Howick during 2000 and 2002 have revealed evidence for a substantial Mesolithic settlement and a Bronze Age cist cemetery. Twenty one radiocarbon determinations of the earlier eighth millennium BP (Cal.) indicate that the Mesolithic site is one of the earliest known in northern Britain. An 8m core of sediment was recovered from stream deposits adjacent to the archaeological site which provides information on local environmental conditions. Howick offers a unique opportunity to understand aspects of hunter-gatherer colonisation and settlement during a period of rapid palaeogeographical change around the margins of the North Sea basin, at a time when it was being progressively inundated by the final stages of the postglacial marine transgression. The cist cemetery will add to the picture of Bronze Age occupation of the coastal strip and again reveals a correlation between the location of Bronze Age and Mesolithic sites which has been observed elsewhere in the region

Slow epidemic extinction in populations with heterogeneous infection rates

We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals $i$ and $j$ is endowed with an infection rate $\beta_{ij} = \lambda w_{ij}$ proportional to the intensity of their contact $w_{ij}$, with a distribution $P(w_{ij})$ taken from face-to-face experiments analyzed in Cattuto $et\;al.$ (PLoS ONE 5, e11596, 2010). We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter $\lambda$. Using a distribution of width $a$ we identify two large regions in the $a-\lambda$ space with anomalous behaviors, which are reminiscent of rare region effects (Griffiths phases) found in models with quenched disorder. We show that the slow approach to extinction is caused by isolated small groups of highly interacting individuals, which keep epidemic alive for very long times. A mean-field approximation and a percolation approach capture with very good accuracy the absorbing-active transition line for weak (small $a$) and strong (large $a$) disorder, respectively

Generalized Integer Partitions, Tilings of Zonotopes and Lattices

In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of two dimensional zonotopes, using dynamical systems and order theory. We show that the sets of partitions ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of zonotopes, ordered with a simple and classical dynamics, is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical systems exist. These results give a better understanding of the behaviour of tilings of zonotopes with flips and dynamical systems involving partitions.Comment: See http://www.liafa.jussieu.fr/~latapy

Insulin glargine 300 units/mL for the treatment of individuals with type 2 diabetes in the real world: A review of the DELIVER programme

Evidence from randomized controlled trials (RCTs) has shown that second-generation basal insulin (BI) analogues, insulin glargine 300 U/mL (Gla-300) and insulin degludec (IDeg), provide similar glycaemic control, with a lower risk of hypoglycaemia compared with the first-generation BI analogue insulin glargine 100 U/mL (Gla-100) in people with type 2 diabetes (T2D). However, the highly selected participants and frequent follow-up of RCTs may not be truly representative of real-life clinical practice. It is important to assess the safety and effectiveness of these second-generation BI analogues in real-life clinical practice settings. The DELIVER programme utilized electronic healthcare records from the United States to compare clinical outcomes in people with T2D who received either Gla-300 or other BI analogues in real-world clinical practice. This review provides a concise overview of the results of the DELIVER studies. Overall, Gla-300 provided similar antihyperglycaemic effectiveness and a lower risk of hypoglycaemia versus the first-generation BI analogues Gla-100 and insulin detemir in people with T2D who had switched BIs. In those who were insulin-naïve, initiation with Gla-300 versus Gla-100 was associated with significantly better antihyperglycaemic effectiveness and similar or lower hypoglycaemic risk. Both glycaemic control and hypoglycaemia risk were also shown to be similar with Gla-300 and IDeg, in people who had switched BIs and in those who were insulin-naïve. In addition, the DELIVER 2 study reported that people with T2D who switched to Gla-300 had reduced healthcare resource utilization, with an overall saving of US$1439 per person per year compared with those who switched to another BI analogue. Overall, the real-world DELIVER programme showed that the glycaemic control with a low risk of hypoglycaemia observed with Gla-300 in RCTs was also seen in standard clinical practice