Ising critical behavior of a non-Halmiltonian lattice system

We study steady states in d-dimensional lattice systems that evolve in time by a probabilistic majority rule, which corresponds to the zero-temperature limit of a system with conflicting dynamics. The rule satisfies detailed balance for d=1 but not for d>1. We find numerically nonequilibrium critical points of the Ising class for d=2 and 3.

Measuring oscillating walking paths with a LIDAR

This work describes the analysis of different walking paths registered using a Light Detection And Ranging (LIDAR) laser range sensor in order to measure oscillating trajectories during unsupervised walking. The estimate of the gait and trajectory parameters were obtained with a terrestrial LIDAR placed 100 mm above the ground with the scanning plane parallel to the floor to measure the trajectory of the legs without attaching any markers or modifying the floor. Three different large walking experiments were performed to test the proposed measurement system with straight and oscillating trajectories. The main advantages of the proposed system are the possibility to measure several steps and obtain average gait parameters and the minimum infrastructure required. This measurement system enables the development of new ambulatory applications based on the analysis of the gait and the trajectory during a walk.

Local thermodynamics and the generalized Gibbs-Duhem equation in systems with long-range interactions

The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the interparticle distance. We compute the local entropy, Helmholtz free energy, and grand potential per particle in the microcanonical, canonical, and grand canonical ensembles, respectively. From the local entropy per particle we obtain the local equation of state of the system by using the condition of local thermodynamic equilibrium. This local equation of state has the form of the ideal gas equation of state, but with the density depending on the potential characterizing long-range interactions. By volume integration of the relation between the different thermodynamic potentials at the local level, we find the corresponding equation satisfied by the potentials at the global level. It is shown that the potential energy enters as a thermodynamic variable that modifies the global thermodynamic potentials. As a result, we find a generalized Gibbs-Duhem equation that relates the potential energy to the temperature, pressure, and chemical potential. For the marginal case where the power of the decaying interaction potential is equal to the dimension of the space, the usual Gibbs-Duhem equation is recovered. As examples of the application of this equation, we consider spatially uniform interaction potentials and the self-gravitating gas. We also point out a close relationship with the thermodynamics of small systems.

Anàlisi de la incidència del sistema de joc en la creació de situacions de superioritat numèrica en el futbol amb el juvenil “A” del Futbol Club Barcelona

El present treball es centra en l’estudi de les situacions de superioritat numèrica generades al llarg de la temporada 2013-2014 de l’equip Juvenil A del Futbol Club Barcelona. L’objectiu principal d’aquest treball és esbrinar quina incidència té el sistema de joc 1-4-3-3 en la creació d’aquestes situacions ofensives en el joc de l’equip. Per tal d’enregistrar múltiples situacions de joc i diferenciar la seva complexitat, s’han establert tres variables d’estudi: la zona del camp on es crea la superioritat numèrica (dividint el camp en 12 zones), el tipus de superioritat produïda (2 contra 1, 3 contra 1, 3 contra 2, 4 contra 2 i 4 contra 3), i la freqüència d’interacció dels jugadors en les situacions de superioritat en relació al networking (jugadors que intervenen en les situacions de superioritat per tal de poder establir relacions entre posicions del sistema de joc 1-4-3-3). El mètode utilitzat és notacional (ja que s’enregistra la freqüència en què succeeix un fenomen a partir d’unes taules creades especialment per l’enregistrament de dades), on fent ús de la proposta de Gréhaigne (2001) s’analitzen 8 partits al llarg de la temporada 2013-2014. Els resultats obtinguts mostren que es produeixen més superioritats a les zones 4 i 6 (20,37% respectivament), seguides de les zones 7 (14,81%) i 5 (13,89%). El major tipus de superioritat ha estat el 2 contra 1 (48,15%) seguit del 3 contra 2 (39,81%). La interacció més freqüent entre jugadors en les situacions de 2 contra 1 ha estat: lateral dret i central dret (26,92%) i lateral esquerre i central esquerre (21,15%). En les situacions de tres jugadors (3 contra 1) ha estat: entre el central dret, central esquerre i el pivot (28,57%) i entre el central dret, el lateral dret i el pivot (28,75%). En les situacions de 3 contra 2: lateral dret, l’interior dret i l’extrem dret (18,60%) i entre el central esquerre, el lateral esquerre i l’interior esquerre (18,60%). Pel que fa a les situacions de 4 contra 2 no se n’ha produït cap, i les de 4 contra 3 hi ha una igualtat entre diverses posicions(16,67%), però no s’observen dades molt significatives en quan a la intervenció, excepte la posició del pivot que intervé en gairebé totes. Aquestes dades, s’assimilen al que diuen Sans i Frattarola (2009) sobre el fet que en la zona d’inici es creen més situacions de superioritat que en la zona de progressió i finalització. També Castelo (1999) aporta un estudi sobre els percentatges d’aportacions ofensives dels jugadors en funció de l’espai i la demarcació, però tot i que en aquest cas no ho compara amb situacions de superioritat numèrica, les dades extretes son interessants per la comparativa amb l’estudi que es presenta.

The role of surface vertical mixing in phytoplankton distribution in a stratified reservoir

We investigated convection caused by surface cooling and mixing attributable to wind shear stress and their roles as agents for the transport of phytoplankton cells in the water column by carrying out two daily surveys during the stratified period of the Sau reservoir. Green algae, diatoms, and cryptophyceae were the dominant phytoplankton communities during the surveys carried out in the middle (July) and end (September) of the stratified period. We show that a system with a linear stratification and that is subject to weak surface forcing, with weak winds , < 4 m S (-1) and low energy dissipation rate values of the order of 1028 m2 s23 or lower, enables the formation of thin phytoplankton layers. These layers quickly disappear when water parcels mix because there is a medium external forcing (convection) induced by the night surface cooling, which is characterized by energy dissipation rates on the order of , 5x10(-8)m2s(-3). During both surveys the wind generated internal waves during the entire diurnal cycle. During the day, and because of the weak winds, phytoplankton layers rise in the water column up to a depth determined by both solar heating and internal waves. In contrast, during the night phytoplankton mixes down to a depth determined by both convection and internal waves. These internal waves, together with the wind-driven current generated at the surface, seem to be the agents responsible for the horizontal transport of phytoplankton across the reservoir.