A classical particle in heat bath under the influence of external noise

A very simple model of a classical particle in a heat bath under the influence of external noise is studied. By means of a suitable hypothesis, the heat bath is reduced to an internal colored noise (OrnsteinUhlenbeck noise). In a second step, an external noise is coupled to the bath. The steady state probability distributions are obtained.

On the many-time formulation of classical particle dynamics

Starting from the standard one-time dynamics of n nonrelativistic particles, the n-time equations of motion are inferred, and a variational principle is formulated. A suitable generalization of the classical LieKnig theorem is demonstrated, which allows the determination of all the associated presymplectic structures. The conditions under which the action of an invariance group is canonical are studied, and a corresponding Noether theorem is deduced. A formulation of the theory in terms of n first-class constraints is recovered by means of coisotropic imbeddings. The proposed approach also provides for a better understanding of the relativistic particle dynamics, since it shows that the different roles of the physical positions and the canonical variables is not peculiar to special relativity, but rather to any n-time approach: indeed a nonrelativistic no-interaction theorem is deduced.

Was the Classical Tradition Betrayed by J. Ivory's adaptation of E. M. Forster's "Maurice"?

According to Literature and Film studies and from the point of view of the influence of Classical Tradition on Western Culture -Classical Greek Tradition, in this case-, this article is an accurate analysis of the inevitable -to a certain degree- screenwriters betrayals regarding the literary texts that they adapt. However, in spite of being practically inevitable, Dr. Pau Gilabert Barberà indicates which are in his opinion the limits beyond which Ivory/Hesketh-Harvey should have not gone in order not to dilute the Hellenic temper of E. M. Forster's Maurice.

Poison without antidote for the historical Socrates and french classical tragedy in El verí del teatre (The Poison of the Theatre) by Rodolf Sirera. (An extreme dose of sadism to put a stop to the excesses of theatrical fiction).

Socrates' serene attitude before his death -although this is questioned-, as described by Xenophon in his Apologia Socratis becomes for the playwright Rodolf Sirera a useful reference in an effort to reflect boldly on the limits of theatrical fiction in another clear example of the Classical Tradition, including that derived from Baroque Tragedy. However, in this case, it is judged severely to make us more conscious of the risk of turning life into a mere theatrical performance and human beings into actors and actresses in a play they did not write.

Classical parameters of Shadowlands by Richard Attenborough (On C. S. Lewis's Life and Work)

The aim of this article is to show the classical parameters of Shadowlands by R. Attenborough, with a screenplay by W. Nicholson, on C. S. Lewis's life and work. Based upon an accurate reading of Lewis's works, the author of this article proposes to interpret the opposition Lewis / Gresham as the translation into the real life of the opposition between the Platonic or idealistic and the Aristotelian or materialistic temperaments which was already maintained by Coleridge. In any case, there are many classical references which must be taken into account in order to understand to what extent C. S. Lewis's Christianity is also a classic Christianity, that is, a Greek and Latin one.

Fuzzy logic applied to the modeling of water dynamics in an Oxisol in northeastern Brazil

Modeling of water movement in non-saturated soil usually requires a large number of parameters and variables, such as initial soil water content, saturated water content and saturated hydraulic conductivity, which can be assessed relatively easily. Dimensional flow of water in the soil is usually modeled by a nonlinear partial differential equation, known as the Richards equation. Since this equation cannot be solved analytically in certain cases, one way to approach its solution is by numerical algorithms. The success of numerical models in describing the dynamics of water in the soil is closely related to the accuracy with which the water-physical parameters are determined. That has been a big challenge in the use of numerical models because these parameters are generally difficult to determine since they present great spatial variability in the soil. Therefore, it is necessary to develop and use methods that properly incorporate the uncertainties inherent to water displacement in soils. In this paper, a model based on fuzzy logic is used as an alternative to describe water flow in the vadose zone. This fuzzy model was developed to simulate the displacement of water in a non-vegetated crop soil during the period called the emergency phase. The principle of this model consists of a Mamdani fuzzy rule-based system in which the rules are based on the moisture content of adjacent soil layers. The performances of the results modeled by the fuzzy system were evaluated by the evolution of moisture profiles over time as compared to those obtained in the field. The results obtained through use of the fuzzy model provided satisfactory reproduction of soil moisture profiles.

Perturbation theory for classical thermodynamic Green's functions

A systematic time-dependent perturbation scheme for classical canonical systems is developed based on a Wick's theorem for thermal averages of time-ordered products. The occurrence of the derivatives with respect to the canonical variables noted by Martin, Siggia, and Rose implies that two types of Green's functions have to be considered, the propagator and the response function. The diagrams resulting from Wick's theorem are "double graphs" analogous to those introduced by Dyson and also by Kawasaki, in which the response-function lines form a "tree structure" completed by propagator lines. The implication of a fluctuation-dissipation theorem on the self-energies is analyzed and compared with recent results by Deker and Haake.

Classical anisotropies in models of open inflation

In the simplest model of open inflation there are two inflaton fields decoupled from each other. One of them, the tunneling field, produces a first stage of inflation which prepares the ground for the nucleation of a highly symmetric bubble. The other, a free field, drives a second period of slow-roll inflation inside the bubble. However, the second field also evolves during the first stage of inflation, which to some extent breaks the needed symmetry. We show that this generates large supercurvature anisotropies which, together with the results of Tanaka and Sasaki, rule out this class of simple models (unless, of course, Omega0 is sufficiently close to 1). The problem does not arise in modified models where the second field does not evolve in the first stage of inflation.

Motion of a classical charged particle

The Lorentz-Dirac equation is not an unavoidable consequence of solely linear and angular momenta conservation for a point charge. It also requires an additional assumption concerning the elementary character of the charge. We here use a less restrictive elementarity assumption for a spinless charge and derive a system of conservation equations that are not properly the equation of motion because, as it contains an extra scalar variable, the future evolution of the charge is not determined. We show that a supplementary constitutive relation can be added so that the motion is determined and free from the troubles that are customary in the Lorentz-Dirac equation, i.e., preacceleration and runaways.

Classical cross sections for relativistic spinning particles

We propose a definition of classical differential cross sections for particles with essentially nonplanar orbits, such as spinning ones. We give also a method for its computation. The calculations are carried out explicitly for electromagnetic, gravitational, and short-range scalar interactions up to the linear terms in the slow-motion approximation. The contribution of the spin-spin terms is found to be at best 10-6 times the post-Newtonian ones for the gravitational interaction.

Classical predictive electrodynamics of two charges with radiation: General framework. I.

Outgoing radiation is introduced in the framework of the classical predictive electrodynamics using LorentzDiracs equation as a subsidiary condition. In a perturbative scheme in the charges the first radiative self-terms of the accelerations, momentum and angular momentum of a two charge system without external field are calculated.

Classical predictive electrodynamics of two charges with radiation: Energy and 3. momentum balance and scattering crossections-II

We deal with a classical predictive mechanical system of two spinless charges where radiation is considered and there are no external fields. The terms (2,2)Paa of the expansion in the charges of the HamiltonJacobi momenta are calculated. Using these, together with known previous results, we can obtain the paa up to the fourth order. Then we have calculated the radiated energy and the 3-momentum in a scattering process as functions of the impact parameter and the incident energy for the former and 3-momentum for the latter. Scattering cross-sections are also calculated. Good agreement with well known results, including those of quantum electrodynamics, has been found.

La politique régionale : entre compétitivité et respect de l'environnement

Aujourd'hui plus que jamais, le développement économique ne peut se faire au détriment de notre environnement naturel. Dès lors se pose la question de savoir comment parvenir à maintenir la compétitivité d'une économie, tout en tenant compte de l'impact qu'elle a sur révolution du cadre naturel. La présente recherche propose d'investiguer sur la question en se penchant sur les politiques publiques de promotion économique, et plus spécifiquement sur la politique régionale. Faut-il maintenir la confiance dans les courants néoclassiques, comme le laisse supposer la situation actuelle, renforcer la position d'une économie s'inscrivant au sein d'un cadre socio-environnemental ou encore repenser notre mode de fonctionnement économique quant à son développement ? Dans le cas présent, la politique régionale suisse est évaluée à la lumière de trois stratégies de développement économique. D'une part, il y a l'économie fondée sur la connaissance. Cette dernière est à la base de la philosophie actuelle en matière de politique régionale. Ensuite, il y a l'écologie industrielle, qui pour sa part fait la promesse d'un développement économique éco-compatible. Enfin, la troisième stratégie est celle de l'économie de fonctionnalité, qui propose de maximiser l'efficience d'une unité de matière première en limitant notamment la notion de propriété. Au travers d'une grille d'analyse construite sur le modèle des géographies de la grandeur, les trois stratégies sont confrontées aux objectifs de la nouvelle politique régionale suisse (NPR) ainsi qu'à ses modalités de mise en oeuvre. Il en ressort qu'en l'état actuel, la stratégie misant sur l'économie de la connaissance est la plus à même de relever le défi d'un développement économique durable. Toutefois, moyennant adaptations, les autres stratégies pourraient également se révéler être pertinentes. On constate notamment que les éléments clés sont ici l'innovation, ainsi que les dimensions spatiale et temporelle des stratégies. Nous recommandons dès lors d'adopter une approche territorialisée du développement économique, selon une logique de projet au sens de Boltanski & Chiapello. A notre sens, seules les propositions à même de fédérer les acteurs et disposant d'une vision intégrée du développement ont une chance de permettre un développement économique en harmonie avec notre cadre environnemental. - Today more than ever, economic development can't go ahead without consideration for our natural environment. This lays us with the question of how to maintain the competitiveness of an economy, and at the same time to manage the impact of it on the natural frame. This research aims to investigate this question through public policies fostering economy, more specifically through the regional policy. Must one trust the neo-classical way, as the actual situation let's think about it, reinforce the position of an economy within a socio- environmental frame or moreover reinvent our economical modus regarding development? In this case, an assessment of the Swiss regional policy is lead through three strategies of economic development. First, there is the knowledge economy. It is the core concept of the actual philosophy regarding regional policy. Second, there is the industrial ecology which aims to promote an eco-compatible economic development. Last, there is the functional economy, which proposes to maximize the efficiency of every used unit of natural resources by limiting in particular the notion of propriety. Through an analytic frame built on the model of geographies of greatness (géographies de la grandeuή, the three strategies are confronted to the objectives of the Swiss new regional policy (NRP) as well as its implementation. It turns out that actually, the strategy laying on the knowledge economy happens to be the best solution in order to promote a sustainable economic development. Nevertheless, with few adaptations, the other strategies could be pregnant as well. What we can see is that key- elements are here the innovation, as well as the spatial and temporal dimensions of these strategies. We recommend therefore to adopt a territorialised approach of economic development, with a project-based logic as meant by Boltanski & Chiapello. We are convinced that only propositions which are able to unit actors, and with an integrated point of view, have a chance to promote economic development in harmony with our environmental frame.