Dissipation, noise and vacuum decay in quantum field theory

We study the process of vacuum decay in quantum field theory focusing on the stochastic aspects of the interaction between long- and short-wavelength modes. This interaction results in a diffusive behavior of the reduced Wigner function describing the state of long-wavelength modes, and thereby to a finite activation rate even at zero temperature. This effect can make a substantial contribution to the total decay rate.

Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state

We derive a simple closed analytical expression for the total entropy production along a single stochastic trajectory of a Brownian particle diffusing on a periodic potential under an external constant force. By numerical simulations we compute the probability distribution functions of the entropy and satisfactorily test many of the predictions based on Seiferts integral fluctuation theorem. The results presented for this simple model clearly illustrate the practical features and implications derived from such a result of nonequilibrium statistical mechanics.

L'essence relationnelle. Fonctionnement neurobiologique et relations humaines

Dans une perspective phénoménologique, le corps, les fonctions vitales, le mouvement déterminent un échange constant entre le sujet et le monde, entre soi et l'autre. La neurobiologie, de son côté, s'intéresse aux transformations biologiques liées à ces expériences, mais sa méthode est fort différente. Les auteurs proposent une réflexion sur la manière dont les découvertes de la neurobiologie interviennent pour mieux "comprendre" la dimension de la rencontre. La relation intersubjective est façonnée non seulement par les structures du fonctionnement mental, par le vécu du sujet, mais encore par la "danse" des postures et le mouvement des corps ; elle est enfin portée par le milieu culturel et social, par la nature de l'environnement. La construction des liens entre le patient et le thérapeute permet à chacun d'eux de cheminer vers un accomplissement de sa propre existence. In a phenomenological perspective, the body, the vital functions, the movements determine a constant exchange between the subject and the world, between self and the others. The neurobiology on its part, is interested in the biological transformations connected to these experiences but its method is quite different. The authors suggest to consider how the neurobiological discoveries help to get a better understanding of the dimension of the encounter. The intersubjective relationship is not only shaped by the structures of the mental functioning, by the subject's experiences, but also by the « dance » of the postures and movements of the body; it is nonetheless influenced by the cultural and social environment, as well as by the type of environment. The build-up of relationships between the therapist and the patient allows both of them to find a way to fulfillment of their own existence.

Report of recommendations to the Public Employment Relations Board for the year ending, June 30, 2011

Audit report of the Public Employment Relations Board for the year ended June 30, 2011

Enhanced pulse propagation in non-linear arrays of oscillators

The propagation of a pulse in a nonlinear array of oscillators is influenced by the nature of the array and by its coupling to a thermal environment. For example, in some arrays a pulse can be speeded up while in others a pulse can be slowed down by raising the temperature. We begin by showing that an energy pulse (one dimension) or energy front (two dimensions) travels more rapidly and remains more localized over greater distances in an isolated array (microcanonical) of hard springs than in a harmonic array or in a soft-springed array. Increasing the pulse amplitude causes it to speed up in a hard chain, leaves the pulse speed unchanged in a harmonic system, and slows down the pulse in a soft chain. Connection of each site to a thermal environment (canonical) affects these results very differently in each type of array. In a hard chain the dissipative forces slow down the pulse while raising the temperature speeds it up. In a soft chain the opposite occurs: the dissipative forces actually speed up the pulse, while raising the temperature slows it down. In a harmonic chain neither dissipation nor temperature changes affect the pulse speed. These and other results are explained on the basis of the frequency vs energy relations in the various arrays

Report of recommendations to the Public Employment Relations Board for the year ending, June 30, 2012

Audit report of the Public Employment Relations Board for the year ended June 30, 2012