Thermal Physics of Nanosystems

Теплофизика наносистем

Year 2025-2026
Semester Spring
Time Thursdays, 15:50–17:25
Location Department of Thermophysics

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
Basic Definitions

Introduction to nanothermophysics.

2
Crystal Structure Fundamentals

Bravais lattices, primitive and conventional cells, Wigner-Seitz cells, reciprocal lattice and Brillouin zone.

3
Theory of Elasticity

Kinematics of deformation, stress, Hooke's Law. Wave equations, dispersion, reflection of elastic waves, and Kapitza conductance.

4
Lattice Dynamics and Density of States

Harmonic approximation basics.

5
Heat Capacity of Crystals

Classical theory, Einstein model (1907), Debye model (1912), and modern refinements.