OBJECTIVES The agar diffusion assay is one method for quantifying the ability of antibiotics to inhibit bacterial growth. Interpretation of results from this assay relies on model-dependent analysis, which is based on the assumption that antibiotics diffuse freely in the solid nutrient medium. In many cases, this assumption may be incorrect, which leads to significant deviations of the predicte...

Outdoor sound propagation modeling can be performed through various numerical models. Nowadays, time-domain methods are widely used and enable accurate simulations for most of the physical phenomena involved in environmental acoustics. However, transmission line matrix (TLM) method remains relatively poorly documented. In this paper, a thorough review stability analysis provided. The model lead...

We demonstrate the behavior of soliton which, while moving in non-dissipative and dispersion-constant medium encounters a finite-width barrier with varying dissipation and/or dispersion; beyond layer dispersion is constant (but not necessarily same value) null. The transmitted wave either retains form (though different parameters) or scatters into number them. And reflection may be negligible a...

Quantum information scrambling and chaotic behaviour in quantum systems are characterised by fourpoint out-of-time-order correlators (OTOCs) of the form , where A, B, C and D are local Hermitian operators. Such quantities are also expected to distinguish between many-bodylocalised and many-body-delocalised phases of disordered interacting systems. This talk is devoted to OTOCs...

In this work, a finite element approach is presented for modelling sound propagation in perforated dissipative mufflers with non-homogeneous properties. The spatial variations of the acoustic properties can arise, for example, from uneven filling processes during manufacture and degradation associated with the flow of soot particles within the absorbent material. First, the finite element metho...

We propose a set of postulates to describe the mechanical interaction between a plane-wave electromagnetic pulse and a dispersive, dissipative slab having a refractive index of arbitrary sign. The postulates include the Abraham electromagnetic momentum density, a generalized Lorentz force law, and a model for absorption-driven mass transfer from the pulse to the medium. These opto-mechanical me...

Abstract The interaction of a short pulse with three types wave profiles in nonlinear dissipative medium are described: stationary shock front finite width, nonstationary forming front, and “stationary” the profile which contains singularity. Exact solutions to Burgers equation used, describe these interactions, as well symmetry properties this equation.

Localized States in Driven Dissipative Systems

This article contains the outline of a 3-hour course that will be given by the authors at the ECC 2003. The course consists of 4 parts: 1. The basic concepts, 2. Linear differential systems, 3. Control in a behavioral setting, and 4. The synthesis of dissipative systems.