Thermal Transport in Low Dimensions

From Statistical Physics to Nanoscale Heat Transfer

  • Stefano Lepri

Part of the Lecture Notes in Physics book series (LNP, volume 921)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Stefano Lepri, Roberto Livi, Antonio Politi
    Pages 1-37
  3. Abhishek Dhar, Keiji Saito
    Pages 39-105
  4. Giada Basile, Cédric Bernardin, Milton Jara, Tomasz Komorowski, Stefano Olla
    Pages 215-237
  5. Lei Wang, Nianbei Li, Peter Hänggi
    Pages 239-274
  6. Denis L. Nika, Alexander A. Balandin
    Pages 339-363
  7. Giuliano Benenti, Giulio Casati, Carlos Mejía-Monasterio, Michel Peyrard
    Pages 365-407
  8. Back Matter
    Pages 409-411

About this book


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.


Anomalous Energy Transport Anomalous Heat Conduction in One-dimensional Models Control Energy Flows Heat Transport in Graphene Heat Transport in Low-Dimensional Systems Heat Transport in Nanotubes Phonon Transport Thermal Conduction on Small Scales Thermal Transfer in Microscale Systems Thermal Transfer in Nanoscale Systems anharmonic particle chains fluctuating hydrodynamics thermoelectric devices

Editors and affiliations

  • Stefano Lepri
    • 1
  1. 1.Istituto Sistemi ComplessiConsiglio Nazionale delle RicercheSesto Fiorentino (FI)Italy

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