Inertial effects on reactive particles advected by turbulence

We study the problem of the advection of passive particles with inertia in a two-dimensional, synthetic, and stationary turbulent flow. The asymptotic analytical result and numerical simulations show the importance of inertial bias in collecting the particles preferentially in certain regions of the flow, depending on their density relative to that of the flow. We also study how these aggregates are affected when a simple chemical reaction mechanism is introduced through a Eulerian scheme. We find that inertia can be responsible for maintaining a stationary concentration pattern even under nonfavorable reactive conditions or destroying it under favorable ones.

Inertial effects on reactive particles advected by turbulence

We study the problem of the advection of passive particles with inertia in a two-dimensional, synthetic, and stationary turbulent flow. The asymptotic analytical result and numerical simulations show the importance of inertial bias in collecting the particles preferentially in certain regions of the flow, depending on their density relative to that of the flow. We also study how these aggregates are affected when a simple chemical reaction mechanism is introduced through a Eulerian scheme. We find that inertia can be responsible for maintaining a stationary concentration pattern even under nonfavorable reactive conditions or destroying it under favorable ones.

Cultural Diffusion Was the Main Driving Mechanism of the Neolithic Transition in Southern Africa

It is well known that the Neolithic transition spread across Europe at a speed of about 1 km/yr. This result has been previously interpreted as a range expansion of the Neolithic driven mainly by demic diffusion (whereas cultural diffusion played a secondary role). However, a long-standing problem is whether this value (1 km/yr) and its interpretation (mainly demic diffusion) are characteristic only of Europe or universal (i.e. intrinsic features of Neolithic transitions all over the world). So far Neolithic spread rates outside Europe have been barely measured, and Neolithic spread rates substantially faster than 1 km/yr have not been previously reported. Here we show that the transition from hunting and gathering into herding in southern Africa spread at a rate of about 2.4 km/yr, i.e. about twice faster than the European Neolithic transition. Thus the value 1 km/yr is not a universal feature of Neolithic transitions in the world. Resorting to a recent demic-cultural wave-of-advance model, we also find that the main mechanism at work in the southern African Neolithic spread was cultural diffusion (whereas demic diffusion played a secondary role). This is in sharp contrast to the European Neolithic. Our results further suggest that Neolithic spread rates could be mainly driven by cultural diffusion in cases where the final state of this transition is herding/pastoralism (such as in southern Africa) rather than farming and stockbreeding (as in Europe)

Experimental evidence on the multibidding mechanism

Pérez-Castrillo and Wettstein (2002) and Veszteg (2004) propose the use of a multibidding mechanism for situations where agents have to choose a common project. Examples are decisions involving public goods (or public "bads"). We report experimental results to test the practical tractability and effectiveness of the multibidding mechanisms in environments where agents hold private information concerning their valuation of the projects. The mechanism performed quite well in the laboratory: it provided the ex post efficient outcome in roughly three quarters of the cases across the treatments; moreover, the largest part of the subject pool formed their bids according to the theoretical bidding behavior.

A foundation model for marxian breakdown theories based on a new falling rate of profit mechanism (Long version)

The paper presents a foundation model for Marxian theories of the breakdown of capitalism based on a new falling rate of profit mechanism. All of these theories are based on one or more of "the historical tendencies": a rising capital-wage bill ratio, a rising capitalist share and a falling rate of profit. The model is a foundation in the sense that it generates these tendencies in the context of a model with a constant subsistence wage. The newly discovered generating mechanism is based on neo-classical reasoning for a model with land. It is non-Ricardian in that land augmenting technical progress can be unboundedly rapid. Finally, since the model has no steady state, it is necessary to use a new technique, Chaplygin's method, to prove the result.

A foundation model for marxian breakdown theories based on a new falling rate of profit mechanism.

The paper presents a foundation model for Marxian theories of the breakdown of capitalism based on a new falling rate of profit mechanism. All of these theories are based on one or more of ?the historical tendencies?: a rising capital-wage bill ratio, a rising capitalist share and a falling rate of profit. The model is a foundation in the sense that it generates these tendencies in the context of a model with a constant subsistence wage. The newly discovered generating mechanism is based on neo-classical reasoning for a model with land. It is non-Ricardian in that land augmenting technical progress can be unboundedly rapid. Finally, since the model has no steady state, it is necessary to use a new technique, Chaplygin?s method, to prove the result.

Clean Development Mechanism and Sustainable Development: a discussion on the link between the CDM and Sustainable Development, an analysis of the current status of the CDM portfolio, and an multicriteria evaluation of the effects of additional incentives in order to foster broad local Sustainable Development dividends from the CDM projects

vegeu resum en el fitxer adjunt a l'inici del treball de recerca

Limited liability and mechanism design in procurement

In the presence of cost uncertainty, limited liability introduces the possibility of default in procurement with its associated bank-ruptcy costs. When financial soundness is not perfectly observable, we show that incentive compatibility implies that financially less sound contractors are selected with higher probability in any feasible mechanism. Informational rents are associated with unsound financial situations. By selecting the financially weakest contractor, stronger price competition (auctions) may not only increase the probability of default but also expected rents. Thus, weak conditions are suffcient for auctions to be suboptimal. In particular, we show that pooling firms with higher assets may reduce the cost of procurement even when default is costless for the sponsor.

Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion

Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann-Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. Moreover, this mass is the solution of a nonlinear diffusion equation whose nonlinearity depends on the (size-dependent) diffusion coefficient. Initial data are assumed to have integrable zero order moment and square integrable first order moment in size, and finite entropy. In contrast to our previous result [CDF2], we are able to show the convergence without assuming uniform bounds from above and below on the number density of clusters.

Stabilized Petrov-Galerkin methods for the convection-diffusion-reaction and the Helmholtz equations

We present two new stabilized high-resolution numerical methods for the convection–diffusion–reaction (CDR) and the Helmholtz equations respectively. The work embarks upon a priori analysis of some consistency recovery procedures for some stabilization methods belonging to the Petrov–Galerkin framework. It was found that the use of some standard practices (e.g. M-Matrices theory) for the design of essentially non-oscillatory numerical methods is not feasible when consistency recovery methods are employed. Hence, with respect to convective stabilization, such recovery methods are not preferred. Next, we present the design of a high-resolution Petrov–Galerkin (HRPG) method for the 1D CDR problem. The problem is studied from a fresh point of view, including practical implications on the formulation of the maximum principle, M-Matrices theory, monotonicity and total variation diminishing (TVD) finite volume schemes. The current method is next in line to earlier methods that may be viewed as an upwinding plus a discontinuity-capturing operator. Finally, some remarks are made on the extension of the HRPG method to multidimensions. Next, we present a new numerical scheme for the Helmholtz equation resulting in quasi-exact solutions. The focus is on the approximation of the solution to the Helmholtz equation in the interior of the domain using compact stencils. Piecewise linear/bilinear polynomial interpolation are considered on a structured mesh/grid. The only a priori requirement is to provide a mesh/grid resolution of at least eight elements per wavelength. No stabilization parameters are involved in the definition of the scheme. The scheme consists of taking the average of the equation stencils obtained by the standard Galerkin finite element method and the classical finite difference method. Dispersion analysis in 1D and 2D illustrate the quasi-exact properties of this scheme. Finally, some remarks are made on the extension of the scheme to unstructured meshes by designing a method within the Petrov–Galerkin framework.

Visualització dinàmica d'un procés metabòlic amb finalitats docents

La incorporació del Moodle com a eina de docència, i l’augment de hores no presencials a les diverses assignatures fa que calgui incorporar les noves tecnologies perquè els alumnes disposin de més material docent al seu abast. Però l’acumulació de material fa que només sigui útil aquell material que es guanyi a l’alumne. En aquest sentit, creiem que les animacions i les eines interactives poden ser materials atractius pels alumnes. En aquest projecte hem creat una eina d’animació interactiva perquè l’estudiant de Bioquímica practiqui i aprengui una de les rutes metabòliques principals: la glucòlisi. Aquesta eina consta d’una pantalla separada en 3 zones: 1) una zona lateral que inclou la ruta metabòlica completa, i en la que l’alumne pot prémer sobre cada un dels passos que estructuren la ruta (finestra del metabolisme); 2) una zona inferior que presenta la reacció individual de la ruta metabòlica, en la que s’observa l’estructura química de les molècules i informació de l’enzim implicat en la reacció (finestra de l’enzim); i 3) una zona central en la que a través d’una animació amb Macromedia Flash MX, l’alumne observa el mecanisme químic de la reacció (finestra del mecanisme químic). Les tres zones són interactives i en prémer sobre elles donen informació, respectivament sobre la ruta completa, l’enzim de cada pas en particular i el mecanisme d’acció. A més, la finestra del mecanisme químic permet aturar en qualsevol moment la animació, tornar enrere i veure els intermediaris. Durant el segon semestre del curs 2006-2007 hem avaluat l’eina amb alumnes de Bioquímica de la Llicenciatura de Química, incorporant-la als dossier electrònics. Creiem que hem assolit els objectius que es proposaven: aprendre una ruta metabòlica, de manera divertida; aprendre el mecanisme de cada un dels passos de la ruta i aprendre l’estructura química dels metabòlits intermediaris de la ruta.

Animació de les rutes glucolítica i gluconeogènica : una eina no presencial per a aprendre de manera amena

La incorporació del Moodle com a eina de docència, i l’augment de hores no presencials a les diverses assignatures fa que calgui incorporar les noves tecnologies perquè els alumnes disposin de més material docent al seu abast. Però l’acumulació de material fa que només sigui útil aquell material que es guanyi a l’alumne. En aquest sentit, creiem que les animacions i les eines interactives poden ser materials atractius pels alumnes. En aquest projecte hem creat una eina d’animació interactiva perquè l’estudiant de Bioquímica practiqui i aprengui dues rutes principals del metabolisme de hidrats de carboni: la glucòlisi i la gluconeogènesi. Aquesta eina consta d’una pantalla separada en 3 zones: 1) una zona lateral que inclou la ruta metabòlica completa, i en la que l’alumne pot prémer sobre cada un dels passos que estructuren la ruta (finestra del metabolisme); 2) una zona inferior que presenta la reacció individual de la ruta metabòlica, en la que s’observa l’estructura química de les molècules i informació de l’enzim implicat en la reacció (finestra de l’enzim); i 3) una zona central en la que a través d’una animació amb Macromedia Flash MX, l’alumne observa el mecanisme químic de la reacció (finestra del mecanisme químic). Les tres zones són interactives i en prémer sobre elles donen informació, respectivament sobre la ruta completa, l’enzim de cada pas en particular i el mecanisme d’acció. A més, la finestra del mecanisme químic permet aturar en qualsevol moment la animació, tornar enrere i veure els intermediaris. Durant el segon semestre del curs 2007-2008 hem avaluat l’eina amb alumnes de Bioquímica de la Llicenciatura de Química, incorporant-la als dossier electrònics i al Moodle. Creiem que hem assolit els objectius que es proposaven: que l’alumne aprengui les dues rutes metabòliques, de manera divertida; el mecanisme de cada un dels passos de les rutes i l’estructura química dels metabòlits intermediaris de les rutes.

A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems

In this paper we consider a representative a priori unstable Hamiltonian system with 2+1/2 degrees of freedom, to which we apply the geometric mechanism for diffusion introduced in the paper Delshams et al., Mem.Amer.Math. Soc. 2006, and generalized in Delshams and Huguet, Nonlinearity 2009, and provide explicit, concrete and easily verifiable conditions for the existence of diffusing orbits. The simplification of the hypotheses allows us to perform explicitly the computations along the proof, which contribute to present in an easily understandable way the geometric mechanism of diffusion. In particular, we fully describe the construction of the scattering map and the combination of two types of dynamics on a normally hyperbolic invariant manifold.

On the analysis of travelling waves to a nonlinear flux limited reaction-diffusion equation

In this paper we study the existence and qualitative properties of travelling waves associated to a nonlinear flux limited partial differential equation coupled to a Fisher-Kolmogorov-Petrovskii-Piskunov type reaction term. We prove the existence and uniqueness of finite speed moving fronts of C2 classical regularity, but also the existence of discontinuous entropy travelling wave solutions.

Context switching accounting mechanism

How many times a given process p preempts, either voluntarily or involuntarily, is an important threat to computer's processes throughput. Whenever running cpu-bound processes on a multi-core system without an actual system grid engine as commonly found on Grid Clusters, their performance and stability are directly related to their accurate implementation and the system reliability which is, to an extend, an important caveat most of the times so difficult to detect. Context Switching is time-consuming. Thus, if we could develop a tool capable of detecting it and gather data from every single performed Context Switch, we would beable to study this data and present some results that should pin-point at whatever their main cause could be.