The physics of activated escape of objects out of a metastable state plays a key role in
diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in …

We present an efficient multi-modal method to describe the acoustic propagation in
waveguides with varying curvature and cross section. A key feature is the use of a flexible …

We present the expanded boundary integral method for solving the planar Helmholtz
problem, which combines the ideas of the boundary integral method and the scaling method …

We introduce a class of billiards with chaotic unidirectional flows (or non-chaotic
unidirectional flows with'vortices') which go around a chaotic or non-chaotic'core', where …

With the pioneering fabrication of graphene the field of relativistic quantum chaos emerged.
We will focus on the spectral properties of massless spin-1/2 particles confined in a bounded …

We study a class of planar billiards having the remarkable property that their phase space
consists up to a set of zero measure of two invariant sets formed by orbits moving in opposite …

A detailed analysis of the wave-mode structure in a bend and its incorporation into a stable
algorithm for calculation of the scattering matrix of the bend is presented. The calculations …

In generic Hamiltonian systems with a mixed phase-space, chaotic transport may be
directed and ballistic rather than diffusive. We investigate one particular model showing this …

Diffusion in waveguides with spatially modulated profiles is an important topic in modern
electromagnetics and optics. Wave dynamics in the high-frequency asymptotics are …

Directed ratchet transport is generally observed in nonautonomous systems as a result of
the interplay of nonlinearity, symmetry breaking, and nonequilibrium fluctuations. Here we …