Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar

Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar

International Centre for Theoretical Sciences via YouTube Direct link

DATE: Mon, 20 December 2021, 15:30 to

1 of 41

1 of 41

DATE: Mon, 20 December 2021, 15:30 to

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Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar

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

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