An integral fluctuation theorem for systems with unidirectional transitions

The fluctuations of a Markovian jump process with one or more unidirectional transitions, where R-ij > 0 but R-ji = 0, are studied. We find that such systems satisfy an integral fluctuation theorem. The fluctuating quantity satisfying the theorem is a sum of the entropy produced in the bidirectional transitions and a dynamical contribution, which depends on the residence times in the states connected by the unidirectional transitions. The convergence of the integral fluctuation theorem is studied numerically and found to show the same qualitative features as systems exhibiting microreversibility.

A nodal domain theorem for integrable billiards in two dimensions

Eigenfunctions of integrable planar billiards are studied - in particular, the number of nodal domains, nu of the eigenfunctions with Dirichlet boundary conditions are considered. The billiards for which the time-independent Schrodinger equation (Helmholtz equation) is separable admit trivial expressions for the number of domains. Here, we discover that for all separable and nonseparable integrable billiards, nu satisfies certain difference equations. This has been possible because the eigenfunctions can be classified in families labelled by the same value of m mod kn, given a particular k, for a set of quantum numbers, m, n. Further, we observe that the patterns in a family are similar and the algebraic representation of the geometrical nodal patterns is found. Instances of this representation are explained in detail to understand the beauty of the patterns. This paper therefore presents a mathematical connection between integrable systems and difference equations. (C) 2014 Elsevier Inc. All rights reserved.

A gap theorem for Ricci-flat 4-manifolds

Let (M, g) be a compact Ricci-fiat 4-manifold. For p is an element of M let K-max(P) (respectively K-min(p)) denote the maximum (respectively the minimum) of sectional curvatures at p. We prove that if K-max(p) <= -cK(min)(P) for all p is an element of M, for some constant c with 0 <= c < 2+root 6/4 then (M, g) is fiat. We prove a similar result for compact Ricci-flat Kahler surfaces. Let (M, g) be such a surface and for p is an element of M let H-max(p) (respectively H-min(P)) denote the maximum (respectively the minimum) of holomorphic sectional curvatures at p. If H-max(P) <= -cH(min)(P) for all p is an element of M, for some constant c with 0 <= c < 1+root 3/2, then (M, g) is flat. (C) 2015 Elsevier B.V. All rights reserved.

An estimate of the number of tropical tree species

The high species richness of tropical forests has long been recognized, yet there remains substantial uncertainty regarding the actual number of tropical tree species. Using a pantropical tree inventory database from closed canopy forests, consisting of 657,630 trees belonging to 11,371 species, we use a fitted value of Fisher's alpha and an approximate pantropical stem total to estimate the minimum number of tropical forest tree species to fall between similar to 40,000 and similar to 53,000, i.e., at the high end of previous estimates. Contrary to common assumption, the Indo-Pacific region was found to be as species-rich as the Neotropics, with both regions having a minimum of similar to 19,000-25,000 tree species. Continental Africa is relatively depauperate with a minimum of similar to 4,500-6,000 tree species. Very few species are shared among the African, American, and the Indo-Pacific regions. We provide a methodological framework for estimating species richness in trees that may help refine species richness estimates of tree-dependent taxa.

Modification of Bertrand's theorem and extended Runge-Lenz vector

It is shown that for a particle with suitable angular moments in the screened Coulomb potential or isotropic harmonic potential, there still exist closed orbits rather than ellipse, characterized by the conserved aphelion and perihelion vectors, i.e. extended Runge-Lenz vector, which implies a higher dynamical symmetry than the geometrical symmetry O-3. The closeness of a planar orbit implies the radial and angular motional frequencies are commensurable.

The Complete Proof of the Virial Theorem in the Refined TFD Theory for all Electrons of an Atom in a Solid

The complete proof of the virial theorem in refined Thomas-Fermi-Dirac theory for all electrons of an atom in a solid is given.

Evaluacion del cultivo de sandia (Citrullus lanatus L) variedad Mickey Lee utilizando sustratos mejorados y determinacion de los coeficientes "kc" y ky", bajo riego. Finca Las Mercedes, Managua, 2009

El presente trabajo de investigación se estableció entre los meses de Marzo– Junio 2009, bajo sistema de riego por aspersión en la finca las Mercedes, ubicada en Managua km 11 carretera norte, 2 km entrada al Carnic en las coordenadas 12°10’14” a 12°08’05” de latitud Norte y 86°10’22” a 86°09’44” longitud Oeste, a una altura de 56 msnm. Con el objetivo de evaluar el cultivo de la sandía (Citrullus lanatus L) bajo tres tipos de fertilizantes orgánicos y un sintético, y obtención de los coeficientes del cultivo “Kc” y de rendimiento “Ky”. Se estableció un bloque completo al azar, con cuatro tratamientos y cuatro repeticiones. Los tratamientos orgánicos evaluados son: compost a razón de 25 595 kg ha-1 , bocashi 15 087 kg ha-1 y biofertilizante con aplicaciones de 20 000 lt ha-1 y un tratamiento sintético (testigo): fertilizante completo (NPK) formula 12-30-10, a razón de 350 kg ha-1 más urea 46% a razón de 219 kg ha-1 , todos los abonos orgánicos fueron elaborados como parte de la investigación haciendo uso de los distintos materiales que se tienen en la finca para su elaboración. Los resultados de campos se sometió a un análisis de varianza (ANDEVA) y separación de medias mediante el uso de la prueba de Diferencias Mínimas Significativas (LSD α=0.05). Utilizando el Software estadístico Infostat versión 2008. Con base a los datos obtenidos se puede afirmar, que no hubo diferencia significativa para las variables de crecimiento, tomadas en momentos diferentes, sin embargo para la variable de rendimiento y sus componentes se encontró diferencia significativas en número de frutos por planta (5.13), diámetro del fruto (15.90 cm), peso del fruto (5.96 lb) y rendimiento (70 020 kg ha-1 ) logrando obtener el mejor resultado cuando el cultivo se fertilizó con sintético, Con respecto a las variables de riego con un volumen de agua de 526.5 mm ha-1 en todo el ciclo del cultivo y tomando en cuenta las etapas fenológicas se le aplicó mayor volumen de agua en la etapa de floración y fructificación que es donde el cultivo requiere mayor cantidad de agua, logrando para todos los tratamientos un coeficiente de cultivo uniforme y curva de Kc siguió el mismo patrón de cualquier cultivo comercial, presentando una fase inicial, de desarrollo, de madurez y senescencia; En el caso de la reducción del coeficiente de rendimiento de la sandía en los tratamientos orgánicos no se debe a un estrés hídrico o limitación de agua durante los periodos de floración y fructificación que son los períodos más sensibles a la sequía, mas bien corresponde al factor de fertilidad ya que el abono orgánico no va dirigido a liberar grandes cantidades de nutrientes para el cultivo de una sola vez.

A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid

A numerical model for shallow-water equations has been built and tested on the Yin-Yang overset spherical grid. A high-order multimoment finite-volume method is used for the spatial discretization in which two kinds of so-called moments of the physical field [i.e., the volume integrated average ( VIA) and the point value (PV)] are treated as the model variables and updated separately in time. In the present model, the PV is computed by the semi-implicit semi-Lagrangian formulation, whereas the VIA is predicted in time via a flux-based finite-volume method and is numerically conserved on each component grid. The concept of including an extra moment (i.e., the volume-integrated value) to enforce the numerical conservativeness provides a general methodology and applies to the existing semi-implicit semi-Lagrangian formulations. Based on both VIA and PV, the high-order interpolation reconstruction can only be done over a single grid cell, which then minimizes the overlapping zone between the Yin and Yang components and effectively reduces the numerical errors introduced in the interpolation required to communicate the data between the two components. The present model completely gets around the singularity and grid convergence in the polar regions of the conventional longitude-latitude grid. Being an issue demanding further investigation, the high-order interpolation across the overlapping region of the Yin-Yang grid in the current model does not rigorously guarantee the numerical conservativeness. Nevertheless, these numerical tests show that the global conservation error in the present model is negligibly small. The model has competitive accuracy and efficiency.

En las raíces ideológicas de Montoneros : John William Cooke lee a Gramsci en Cuba

Desde 1945 la izquierda argentina no pudo resolver el enigma planteado por el hecho de que la clase obrera era peronista. Varios intentos teóricos fracasaron antes de que John William Cooke hiciera el suyo a mediados de los años sesenta. Influenciado por Gramsci, consideró que la clase obrera es una categoría histórica, por lo que el peronismo era la experiencia histórica de la clase obrera argentina y, como tal, revolucionario. Neutralizó el papel político de Perón convirtiéndolo en el símbolo de la identidad peronista. Por esto, la teoría de Cooke fue clave para que guerrilleros de izquierda se declararan peronistas sin que les importaran las opiniones e intenciones políticas de Perón. Las limitaciones de esa teoría quedaron expuestas cuando el general regresó a la Argentina y fue electo presidente por tercera vez.

Saline water intrusion from deep artesian sources in McGregor Isles area of Lee County, Florida

Upward leakage of saline water from an artesian aquifer below 1,500 feet has caused an increase in chloride concentration in the lower Hawthorn aquifer from less than 1,000 mg/1 (milligrams per liter) to values ranging from about 1,300 to 15,000 mg/1. Similarly the higher temperatures of the intruding water has caused an increase in water temperatures in the aquifer from 82"F to values ranging from 83 to 93"F. The intruding water moves upward either through the open bore hole of deep wells or test holes, or along a fault or fracture system, which has been identified in the area. From these points of entry into the lower Hawthorn aquifer, the saline water spreads laterally toward the south and southeast, but is generally confined to components of the fault system. The saline water moves upward from the lower Hawthorn aquifer into the upper Hawthorn aquifer through the open bore hole of wells, which connect the aquifers. This movement has resulted in an increase in chloride from less than 200 mg/1 in the unaffected parts of the upper Hawthorn aquifer to values commonly ranging from about 300 to more than 3,000 mg/1 in parts of the aquifer affected by upward leakage. The upper Hawthorn aquifer is the principal source of ground-water supply for public water-supply systems in western Lee County. Similar effects have been noted in the water-table aquifer, where chloride increased from less than 100 to concentrations ranging from about 500 to more than 5,000 mg/1. This was caused by the downward infiltration of water discharged at land surface from wells tapping the lower Hawthorn aquifer. The spread of saline water throughout most of the McGregor Isles area is continuing as of 1971. (40 page document)