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IPhO Thermodynamics & Statistical Physics

IPhO thermo/stat hub: first-law modelling, engines and cycles, and statistical intuition for distributions and scaling.

  • International Physics Olympiad preparation
  • 6 lessons
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Before you begin

IPhO thermodynamics problems reward clear bookkeeping: define the system, track energy transfers and stay disciplined about signs and assumptions. Statistical physics then turns distributions into estimates.

Be comfortable with: A-Level thermal physics, university thermodynamics, the Boltzmann distribution function and the IPhO problem-solving framework.

Learning goals
  • Apply thermodynamics & statistical physics models and problem-solving methods in competition settings.

Lessons

Work through them in order.

Build the bridge

  1. First Law Problem Patterns (IPhO)Choose the system, fix sign conventions and apply the first law to common process patterns.

Build the official core

  1. Entropy & Second Law Problem Patterns (IPhO Thermo)Calculate entropy changes along reversible paths and use the second law to rule out impossible processes.
  2. Kinetic Theory & Equipartition (IPhO Thermo/Stat)Derive pressure from molecular momentum transfer and estimate thermal speeds and heat capacities.

Transfer to unfamiliar problems

  1. Boltzmann Distribution Intuition (IPhO)Use Boltzmann factors to compare populations and make quick statistical estimates.
  2. Transport: Heat Conduction & Diffusion Scaling (IPhO Thermo/Stat)Apply Fourier's and Fick's laws and estimate conduction and diffusion times from L² scaling.

Optional: extend your toolkit

  1. Thermodynamic Potentials & Maxwell Relations (IPhO Thermo)Choose the right thermodynamic potential and use Maxwell relations to find useful derivatives.

Practise and check

Recommended nextThermodynamics & Statistical Physics topic check

Topic reference

What you should be able to do

  • Define the thermodynamic system, sign convention, constraints and process before applying the first law.
  • Use entropy production or a reversible comparison to test feasibility and bound performance.
  • Connect microscopic distributions and collisions to macroscopic pressure, heat capacity and transport scales.

Official scope: Stages official thermodynamics and kinetic/statistical-physics ideas; thermodynamic potentials are presented as an optional extension method.

Training habits

  • For any process, write the system, constraints and sign convention before any equations.
  • Do one limit check per solution: high or low temperature, large or small volume.