Thermal Transport in Low Dimensions

Understanding
non-equilibrium properties of classical and quantum many-particle systems is one
of the goals of contemporary statistical mechanics. Besides its own interest
for the theoretical foundations of irreversible thermodynamics(e.g. of the
 Fourier's law of heat conduction), this topic is also relevant to develop
innovative ideas for nanoscale thermal management with possible future applications
to nanotechnologies and effective energetic resources.

The first part of the
volume (Chapters 1-6) describes the basic models, the phenomenology and the
various theoretical approaches to understand heat transport in low-dimensional
lattices (1D e 2D). The methods described will include equilibrium and nonequilibrium
molecular dynamics simulations, hydrodynamic and kinetic approaches and the
solution of stochastic models.

The second part
(Chapters 7-10) deals with applications to nano and microscale heat transfer,
as for instance phononic transport in carbon-based nanomaterials, including the
prominent case of nanotubes and graphene. Possible future developments  on
heat flow control and thermoelectric energy conversion will be outlined.

This volume aims at
being the first step for graduate students and researchers entering the field
as well as a reference for the community of scientists that, from different
backgrounds (theoretical physics, mathematics, material sciences and
engineering), has grown in the recent years around those themes.