Nonequilibrium Response Theory - Lecture 1

Nonequilibrium Response Theory - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Q&A

32 of 32

32 of 32

Q&A

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Nonequilibrium Response Theory - Lecture 1

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  1. 1 Nonequilibrium response theory - 1
  2. 2 Fluctuations and Response In nonequilibrium
  3. 3 Plan of the course
  4. 4 What is response?
  5. 5 Systems in contact with environment energy/particle exchange
  6. 6 Response theory: unifying formalism
  7. 7 General question
  8. 8 Linear response around Equilibrium
  9. 9 Equilibrium Response Static
  10. 10 After an initial relaxation phase system reaches new equilibrium assuming normalizable
  11. 11 Example I
  12. 12 Example II
  13. 13 Equilibrium response Dynamic
  14. 14 Onsager's Regression Hypothesis
  15. 15 Fluctuation dissipation theorem
  16. 16 Can be expressed in other forms:
  17. 17 To apply to specific systems - dynamics needed
  18. 18 1. Random walk continuous time
  19. 19 Observable : O=x
  20. 20 Il. Particle in a heat bath
  21. 21 Equilibrium distribution Pegx, v xx exp - B Ux +-
  22. 22 Special case: free particle
  23. 23 Einstein relation
  24. 24 Overdamped diffusion
  25. 25 Derivation of FDT
  26. 26 Formal solution px, t = ellipx,0 assuming time-independent
  27. 27 Perturbation Ux - Ux - Eh, Vx L = Lo + Eh,L do dx
  28. 28 Linear response
  29. 29 Thermodynamic interpretation
  30. 30 Entropy generated along a trajectory
  31. 31 Equilibrium linear response for state observables is entropic, ie, thermodynamic
  32. 32 Q&A

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