Thermal Physics of Nanosystems

Теплофизика наносистем

Course Overview

This course offers a systematic exploration of thermal physics at the nanoscale. It integrates classical continuum theories with cutting-edge atomistic simulations to explain heat transport mechanisms in solids.

Students will master the theoretical framework of Lattice Dynamics and Phonon Transport, while developing practical skills in First-Principles Calculations. By the end of the course, students will be proficient in calculating phonon spectra, density of states, and thermal conductivity for bulk and low-dimensional materials using industry-standard computational tools.

Schedule

1
Introduction to Nanothermophysics

Basic definitions and an introduction to nanothermophysics.

2
Fundamentals of Crystal Structure

Bravais lattices, primitive and conventional cells, Wigner–Seitz cells, reciprocal lattices, and the Brillouin zone.

3
Theory of Elastic Waves

Deformation, stress, Hooke's law, wave equations, reflection of elastic waves, and Kapitza conductance.

4
Lattice Vibration Theory

Lattice dynamics, the harmonic approximation, and phonon density of states.

5
Thermophysical properties

Classical heat capacity, the Einstein and Debye models, and modern refinements.

HW
Homework 1

Course assignment.