Homogenization results for a linear dynamics in random Glauber type environment

We consider an energy conserving linear dynamics that we perturb by a Glauber dynamics with random site dependent intensity. We prove hydrodynamic limits for this non-reversible system in random media. The diffusion coefficient turns out to depend on the random field only by its statistics. The diffusion coefficient defined through the Green-Kubo formula is also studied and its convergence to some homogenized diffusion coefficient is proved

Diffusion of energy in chains of oscillators with bulk noise

These notes are based on a mini-course given during the conference Particle systems and PDE's - II which held at the Center of Mathematics of the University of Minho in December 2013. We discuss the problem of normal and anomalous diffusion of energy in systems of coupled oscillators perturbed by a stochastic noise conserving energy

Project knowledge into project practice: generational issues in the knowledge management process

This paper considers Learning and Knowledge Transfer within the project domain. Knowledge can be a tenuous and elusive concept, and is challenging to transfer within organizations and projects. This challenge is compounded when we consider generational differences in the project and the workplace. This paper looks at learning, and the transfer of that generated knowledge. A number of tools and frameworks have been considered, together with accumulated extant literature. These issues have been deliberated through the lens of different generational types, focusing on the issues and differences in knowledge engagement and absorption between Baby Boomers, Generation X, and Generation Y/Millennials. Generation Z/Centennials have also been included where appropriate. This is a significant issue in modern project and organizational structures. Some recommendations are offered to assist in effective knowledge transfer across generational types.Accepted manuscrip

Hydrodynamic limit for the velocity flip model

We study the diffusive scaling limit for a chain of $N$ coupled oscillators. In order to provide the system with good ergodic properties, we perturb the Hamiltonian dynamics with random flips of velocities, so that the energy is locally conserved. We derive the hydrodynamic equations by estimating the relative entropy with respect to the local equilibrium state modified by a correction term

A one-dimensional coagulation-fragmentation process with a dynamical phase transition

We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of $\{1,\ldots,L\}$ into disjoint intervals. Each interval can either split or merge with one of its two neighbors. The invariant measure can be seen as the Gibbs measure for a homogeneous pinning model \cite{cf:GBbook}. Depending on a parameter $\lambda$, the typical configuration can be either dominated by a single big interval (delocalized phase), or be composed of many intervals of order $1$ (localized phase), or the interval length can have a power law distribution (critical regime). In the three cases, the time required to approach equilibrium (in total variation) scales very differently with $L$. In the localized phase, when the initial condition is a single interval of size $L$, the equilibration mechanism is due to the propagation of two "fragmentation fronts" which start from the two boundaries and proceed by power-law jumps