Effective eigenvalue for the intensity correlations of single-mode and two-mode lasers

Exact formulas for the effective eigenvalue characterizing the initial decay of intensity correlation functions are given in terms of stationary moments of the intensity. Spontaneous emission noise and nonwhite pump noise are considered. Our results are discussed in connection with earlier calculations, simulations, and experimental results for single-mode dye lasers, two-mode inhomogeneously broadened lasers, and two-mode dye ring lasers. The effective eigenvalue is seen to depend sensitively on noise characteristics and symmetry properties of the system. In particular, the effective eigenvalue associated with cross correlations of two-mode lasers is seen to vanish in the absence of pump noise as a consequence of detailed balance. In the presence of pump noise, the vanishing of this eigenvalue requires equal pump parameters for the two modes and statistical independence of spontaneous emission noise acting on each mode.

Absence of epidemic threshold in scale free networks with degree correlations

Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing. Degree correlations result therefore irrelevant for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbors degree, enforced by the degree detailed balance condition.

Phenomenological approach to nonlinear Langevin equations

In this paper we address the problem of consistently constructing Langevin equations to describe fluctuations in nonlinear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property, together with the macroscopic knowledge of the system, is not enough to determine all the properties of the random force. If the cause of the fluctuations is weakly coupled to the fluctuating variable, then the statistical properties of the random force can be completely specified. For variables odd under time reversal, microscopic reversibility and weak coupling impose symmetry relations on the variable-dependent Onsager coefficients. We then analyze the fluctuations in two cases: Brownian motion in position space and an asymmetric diode, for which the analysis based in the master equation approach is known. We find that, to the order of validity of the Langevin equation proposed here, the phenomenological theory is in agreement with the results predicted by more microscopic models

Damage spreading transition in glasses: A probe for the ruggedness of the configurational landscape

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially large number of metastable states. For systems evolving under identical but arbitrarily correlated noises, we demonstrate that there exists a critical temperature T0 which separates two different dynamical regimes depending on whether damage spreads or not in the asymptotic long-time limit. This transition exists for generic noise correlations such that the zero damage solution is stable at high temperatures, being minimal for maximal noise correlations. Although this dynamical transition depends on the type of noise correlations, we show that the asymptotic damage has the good properties of a dynamical order parameter, such as (i) independence of the initial damage; (ii) independence of the class of initial condition; and (iii) stability of the transition in the presence of asymmetric interactions which violate detailed balance. For maximally correlated noises we suggest that damage spreading occurs due to the presence of a divergent number of saddle points (as well as metastable states) in the thermodynamic limit consequence of the ruggedness of the free-energy landscape which characterizes the glassy state. These results are then compared to extensive numerical simulations of a mean-field glass model (the Bernasconi model) with Monte Carlo heat-bath dynamics. The freedom of choosing arbitrary noise correlations for Langevin dynamics makes damage spreading an interesting tool to probe the ruggedness of the configurational landscape.

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.

La Industrialización en Cataluña: un balance historiográfico

Este trabajo constituye una breve presentación del caso de la industrialización de Cataluña en los siglos XIX y XX y, asimismo, una primera valoración crítica de las aportaciones de las dos últimas décadas al estudio histórico de la industria catalana, a partir de un anterior balance historiográfico realizado por el autor veinte años atrás. Esta revisión no se plantea desde una perspectiva pluridisciplinar, sino a partir de un enfoque especializado de Historia Económica. El hecho industrial ha mantenido una gran influencia durante los dos últimos siglos en todos esos ángulos de la vida social de Cataluña y en muchos más, desde el arte a la literatura o al deporte. La historia contemporánea catalana ha sido modelada en gran parte por la fuerte presencia de la industria. Pero en las secciones que siguen se ensaya, exclusivamente, una medida aproximada de la obra realizada, y de algunas tareas por hacer, con la caja de instrumentos propia de la ciencia económica desde una perspectiva histórica.

Optimal exponent heat balance and refined integral methods applied to Stefan problems

When using a polynomial approximating function the most contentious aspect of the Heat Balance Integral Method is the choice of power of the highest order term. In this paper we employ a method recently developed for thermal problems, where the exponent is determined during the solution process, to analyse Stefan problems. This is achieved by minimising an error function. The solution requires no knowledge of an exact solution and generally produces significantly better results than all previous HBI models. The method is illustrated by first applying it to standard thermal problems. A Stefan problem with an analytical solution is then discussed and results compared to the approximate solution. An ablation problem is also analysed and results compared against a numerical solution. In both examples the agreement is excellent. A Stefan problem where the boundary temperature increases exponentially is analysed. This highlights the difficulties that can be encountered with a time dependent boundary condition. Finally, melting with a time-dependent flux is briefly analysed without applying analytical or numerical results to assess the accuracy.

Disseny d'un mètode de valoració d'itineraris d'educació ambiental i aplicació a l'àmbit Parc Natural de l'Alt Pirineu - Alt Urgell

El Parc Natural de l’Alt Pirineu (PNAP) està creant una xarxa d’itineraris d’educació ambiental amb l’objectiu de divulgar els valors del parc i conscienciar els seus visitants sobre la importància de conservar el medi ambient. El desenvolupament de mètodes de valoració de l’aptitud de potencials itineraris d’educació ambiental pot servir per crear eines de gestió molt útils a l’hora d’ampliar aquesta xarxa de senders. Per aquest motiu, un grup anterior de la llicenciatura de Ciències Ambientals va desenvolupar el preprotocol Neret, que permet obtenir una puntuació numèrica per a un itinerari, responent a una sèrie de preguntes senzilles. En el present projecte, s’ha aplicat el protocol anterior a tres itineraris de muntanya per tal d’estudiar-ne el funcionament en un tipus d’itinerari diferent dels de fons de vall, on va ser dissenyat. L’anàlisi del preprotocol s’ha efectuat mitjançant una matriu DAFO, a partir de la qual s’han proposat una sèrie d’estratègies de millora i, a partir d’aquestes, s’ha desenvolupat un nou mètode de valoració. Els principals aspectes negatius del preprotocol són la seva manca de flexibilitat, la sobrevaloració dels criteris relacionats amb la dificultat del recorregut, la manca de detall en l’anàlisi del potencial interpretatiu dels itineraris a més del poc pes que té aquest criteri en la puntuació global i, finalment, l’absència d’un criteri que valori els potencials impactes que es podrien derivar de l’ús de l’itinerari. Aquestes mancances s’han mirat de corregir al mètode de valoració dissenyat en el present projecte mitjançant les següents aportacions: una estructura transversal dividida en quatre factors avaluats per separat, sense criteris de valoració excloents i amb una ponderació final dels quatre principals criteris modificable segons els objectius dels gestors; una valoració més detallada dels continguts de l’itinerari, i finalment, la inclusió d’un nou criteri que considera la vulnerabilitat del medi a qualsevol tipus d’impacte.

Application of standard and refined heat balance integral methods to one-dimensional Stefan problems

The work in this paper concerns the study of conventional and refined heat balance integral methods for a number of phase change problems. These include standard test problems, both with one and two phase changes, which have exact solutions to enable us to test the accuracy of the approximate solutions. We also consider situations where no analytical solution is available and compare these to numerical solutions. It is popular to use a quadratic profile as an approximation of the temperature, but we show that a cubic profile, seldom considered in the literature, is far more accurate in most circumstances. In addition, the refined integral method can give greater improvement still and we develop a variation on this method which turns out to be optimal in some cases. We assess which integral method is better for various problems, showing that it is largely dependent on the specified boundary conditions.

Fiscal policy, foresight and the trade balance in the U.S.

This paper investigates the effects of fiscal policy on the trade balance using a structural factor model. A fiscal policy shock worsens the trade balance and produces an appreciation of the domestic currency but the effects are quantitatively small. The findings match the theoretical predictions of the standard Mundell-Fleming model, although fiscal policy should not be considered one of the main causes of the large US external deficit. My conclusions differ from those reached using VAR models since the fiscal shock, possibly due to fiscal foresight, is nonfundamental for the variables typically used in open economy VARs.

Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions

In this paper the two main drawbacks of the heat balance integral methods are examined. Firstly we investigate the choice of approximating function. For a standard polynomial form it is shown that combining the Heat Balance and Refined Integral methods to determine the power of the highest order term will either lead to the same, or more often, greatly improved accuracy on standard methods. Secondly we examine thermal problems with a time-dependent boundary condition. In doing so we develop a logarithmic approximating function. This new function allows us to model moving peaks in the temperature profile, a feature that previous heat balance methods cannot capture. If the boundary temperature varies so that at some time t & 0 it equals the far-field temperature, then standard methods predict that the temperature is everywhere at this constant value. The new method predicts the correct behaviour. It is also shown that this function provides even more accurate results, when coupled with the new CIM, than the polynomial profile. Analysis primarily focuses on a specified constant boundary temperature and is then extended to constant flux, Newton cooling and time dependent boundary conditions.

Institutional Balance in the EU. The Prodi Administration as a Reforming Commission

The essay looks at the Prodi Commission (1999-2004) in the context of the institutional balance in the European Union. Not only did Prodi come into office at a time of unprecedented weakness of the Executive, but the Commission operates within a changing institutional equilibrium, one made more precarious by the shifting political disposition of the Member States