Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD

We present results of computing the p6 order low energy constants in the normal part of chiral Lagrangian both for two and three flavor pseudo-scalar mesons. This is a generalization of our previous work on calculating the p4 order coefficients of the chiral Lagrangian in terms of the quark self energy Sigma(p2) approximately from QCD. We show that most of our results are consistent with those we can find in the literature.Comment: 51 pages,2 figure

Spectral coarse graining for random walk in bipartite networks

Many real-world networks display a natural bipartite structure, while analyzing or visualizing large bipartite networks is one of the most challenges. As a result, it is necessary to reduce the complexity of large bipartite systems and preserve the functionality at the same time. We observe, however, the existing coarse graining methods for binary networks fail to work in the bipartite networks. In this paper, we use the spectral analysis to design a coarse graining scheme specifically for bipartite networks and keep their random walk properties unchanged. Numerical analysis on artificial and real-world bipartite networks indicates that our coarse graining scheme could obtain much smaller networks from large ones, keeping most of the relevant spectral properties. Finally, we further validate the coarse graining method by directly comparing the mean first passage time between the original network and the reduced one.Comment: 7 pages, 3 figure

Short-time critical dynamics and universality on a two-dimensional Triangular Lattice

Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates to show that universal scaling exists already in the short-time regime in form of power-law behavior of the magnetization and Binder cumulant. The results measured for the dynamic and static critical exponents, $\theta$, $z$, $\beta$ and $\nu$, confirm explicitly that the Potts models on the triangular lattice and square lattice belong to the same universality class. Our critical scaling analysis strongly suggests that the simulation for the dynamic relaxation can be used to determine numerically the universality.Comment: LaTex, 11 pages and 10 figures, to be published in Physica

Dynamic Geomorphology of the Drumlin Coast of Southeast Cape Breton Island

The southeastern coast of Cape Breton Island from Gabarus Bay to Framboise Cove has been investigated as a typical example of a drumlin coast. Landforms have been mapped from ground observations and air photographs. Time series of coastal profiles of both beaches and eroding drumlin cliffs have been measured. Nearshore sediment distribution has been mapped. An analysis has been made of wind and wave frequency and direction data. Four coastal segments are distinguished: (1) the south coast of Gabarus Bay has rock-cored drum-11ns separated by small barrier beaches; (2) the coast around Winging Point has a relatively stable depositional tombolo coast; (3) Fourchu Bay and Framboise Cove are developed in an area of thick till drumlins, and consist of barrier bars backed by lagoons and drumlins; and (4) the Fourchu Head and Red Cape are rocky coastlines from which all till has been removed by marine erosion, The geomorphologlcal evolution is a consequence of the initial drumlin landscape, the availability of a wide range of sediment sizes, and the type and intensity of marine erosion processes including the effects of transgression. Two types of coast are developed: a) in irregular hilly areas, where the till is thin and occurs in rock-cored drumlins; and b) in valley areas, where thick till drumlins are found. In each of these types, three stages of coastal development are distinguished. These represent the effect of differing rate of maturation, dependent on the configuration of drumlins and varying type and intensity of marine erosion. RÉSUMÉ Depuis la baie de Gabarua jusqu'à l'anse Framboise, la côte sud-est de l'ile du Cap-Breton a été étudiée en tant qu'exemple type d'une côte à drumlins. Les formes de relief ont été cartographies à partlr d'observations sur le terrain et de photographies aériennes. On a mesure à différents intervalles de temps, des séries de proflis côtiers comprenant des plages ainsi que des falaises de drumlins soumises à l’érosion. La distribution des sédiments littoraux a été cartographiée. On distingue quatre environnements côtiers. Le littoral sud de la baie de Gabarus est caractérise par des drumlins à noyau rocheux separes par des plages barrières de faibles dimensions. La côte à tombolos qui entoure la pointe Winging est un environnement de déposition relativement plus stable. Dans les régions de la baie Fourchu et de l'anse Framboise, des drumlins constitues d'un till epais sont 2 l'origine d'une côte barrière appuyée par des langunes et des drumlins. Les côtes rocheuses du cap Fourchu et de Red Cape ont été denudfies de leur till par l’action érosive de la mer. L'évolution géomorphologique de la côte ressort du paysage à drumlins original, de la disponibilité d'une vaste gamme de sédiments, ainsi que du type et de l'intensité des processus d’érosion marine, y compris les effets de la transgression. On reconnect deux types de côtes: l'une caractérisée par un paysage semé de collines oul'on retrouve un till mince associé à des drumlins à noyau rocheux; l’autre, que l'on retrouve dans les vallées, se distingue par d'épais drumlins constitues de till. Chacun de ces types de côtes se développé en trois étapes correspondent à des régimes de maturation différents qui dépendent de la configuration des drumlins ainsi que de l’intenuité et du caractére particuller de l’érosion marine. [Traduit par le journal

Fully gapped superconducting state in Au2Pb: a natural candidate for topological superconductor

We measured the ultra-low-temperature specific heat and thermal conductivity of Au$_2$Pb single crystal, a possible three-dimensional Dirac semimetal with a superconducting transition temperature $T_c \approx$ 1.05 K. The electronic specific heat can be fitted by a two-band s-wave model, which gives the gap amplitudes $\Delta_1$(0)/$k_BT_c$ = 1.38 and $\Delta_2$(0)/$k_BT_c$ = 5.25. From the thermal conductivity measurements, a negligible residual linear term $\kappa_0/T$ in zero field and a slow field dependence of $\kappa_0/T$ at low field are obtained. These results suggest that Au$_2$Pb has a fully gapped superconducting state in the bulk, which is a necessary condition for topological superconductor if Au$_2$Pb is indeed one.Comment: 6 pages, 4 figure

Transit times and mean ages for nonautonomous and autonomous compartmental systems

We develop a theory for transit times and mean ages for nonautonomous compartmental systems. Using the McKendrick-von F\"orster equation, we show that the mean ages of mass in a compartmental system satisfy a linear nonautonomous ordinary differential equation that is exponentially stable. We then define a nonautonomous version of transit time as the mean age of mass leaving the compartmental system at a particular time and show that our nonautonomous theory generalises the autonomous case. We apply these results to study a nine-dimensional nonautonomous compartmental system modeling the terrestrial carbon cycle, which is a modification of the Carnegie-Ames-Stanford approach (CASA) model, and we demonstrate that the nonautonomous versions of transit time and mean age differ significantly from the autonomous quantities when calculated for that model