A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

We study anomalous heat conduction and anomalous diffusion in low-dimensional systems
ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels …

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

Investigating the impact of nanoscale heterogeneity on heat transport requires a
spatiotemporal probe of temperature on the length and time scales intrinsic to heat …

We examine the transport behaviour of non-interacting particles in a simple channel billiard,
at equilibrium and in the presence of an external field. We observe a range of sub-diffusive …

From extensive numerical simulations, we find that periodic polygonal billiard channels with
angles which are irrational multiples of π generically exhibit normal diffusion (linear growth …

We analyze the heat transport in an ion chain that is confined in a strongly anisotropic Paul
trap. To drive a heat current across the chain different pairs of counterpropagating laser …

We investigate the onset of diffusive behavior in polygonal channels for disks of finite size,
modeling simple microporous membranes. It is well established that the point-particle case …

Analytically tractable dynamical systems exhibiting a whole range of normal and anomalous
deterministic diffusion are rare. Here, we introduce a simple non-chaotic model in terms of …

Polygonal billiards are an example of pseudo-chaotic dynamics, a combination of integrable
evolution and sudden jumps due to conical singular points that arise from the corners of the …