AUTHOR=Benenti Giuliano , Lepri Stefano , Livi Roberto 

TITLE=Anomalous Heat Transport in Classical Many-Body Systems: Overview and Perspectives

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00292

DOI=10.3389/fphy.2020.00292

ISSN=2296-424X

ABSTRACT=In this review paper we aim at illustrating recent achievements in  anomalous heat diffusion, while highlighting  open
problems and  research perspectives. We briefly recall the main features of the 
phenomenon for low-dimensional classical anharmonic chains 
and outline some recent developments on perturbed integrable systems,
and on the effect of long-range forces and magnetic fields. 
Some selected applications to heat transfer in material 
science at the nanoscale are described. In the second part, we discuss of the role of 
anomalous conduction on coupled transport and describe how systems 
with anomalous (thermal) diffusion allow a much better power-efficiency
trade-off for the conversion of thermal to particle current. A brief
overview of research perspective in quantum systems is given.