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Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar
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- 1 DATE: Mon, 20 December 2021, 15:30 to
- 2 Connections between microscopic and macroscopic laws
- 3 Outline
- 4 MICROSCOPIC LAWS
- 5 MACROSCOPIC LAWS - Thermodynamics
- 6 Microscopic to Macroscopic - Equilibrium Statistical Physics
- 7 Macroscopic laws to describe nonequilibrium phenomena
- 8 Part I - Heat CONDUCTION and Fourier's law
- 9 Fourier's law and the heat diffusion equation
- 10 Proving Fourier's law
- 11 Simplest theory of heat conduction: Kinetic theory
- 12 Kinetic theory for phonon gas
- 13 Other approaches
- 14 Direct computation of from nonequilibrium measurements.
- 15 Heat current and heat conductivity
- 16 Results so far
- 17 Experiments
- 18 Experiments: graphene
- 19 The simplest microscopic model: a harmonic crystal
- 20 Possible scattering mechanisms
- 21 Heat conduction in disordered harmonic crystals
- 22 Landauer formula for heat current
- 23 Disordered Harmonic systems: Anderson localization
- 24 Character of normal modes of a disordered crystal
- 25 ID disordered harmonic chain
- 26 Disordered harmonic crystal
- 27 One-dimensional systems with non-integrable interactions
- 28 Signatures of anomalous transport: OPEN SYSTEM STUDIES
- 29 Other signatures of anomalous energy transport
- 30 Propagation of pulses OR bEx, t SE0, 0
- 31 A phenomenological description: Levy walkers model
- 32 Levv walk
- 33 Steady state current
- 34 An exactly solvable stochastic model of anomalous transport
- 35 An analytic understanding
- 36 Predictions of fluctuating hydrodynamics
- 37 Equilibrium simulations of FPU
- 38 Hydrodynamic theory for other one-dimensional interacting systems
- 39 Fluctuating hydrodynamics for a one-dimensional fluid
- 40 Conclusions
- 41 Q&A
