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CONDENSATION OF FLUCTUATIONS IN A TEMPERATURE QUENCH

CONDENSATION OF FLUCTUATIONS IN A TEMPERATURE QUENCH. Marco Zannetti - U Salerno in collaboration with Federico Corberi - U Salerno Giuseppe Gonnella - U Bari Antonio Piscitelli - U Napoli. t emperature quench. s tudy of fluctuations during relaxation

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CONDENSATION OF FLUCTUATIONS IN A TEMPERATURE QUENCH

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  1. CONDENSATION OF FLUCTUATIONS IN A TEMPERATURE QUENCH Marco Zannetti - U Salerno in collaboration with Federico Corberi - U Salerno Giuseppe Gonnella - U Bari Antonio Piscitelli - U Napoli

  2. temperature quench • study offluctuations • duringrelaxation • energy • heat

  3. temperature quench • BrownianOscillator • Gaussian Model : collection • of independentoscillators • condensation of fluctuations

  4. temperature quench • BrownianOscillator • Gaussian Model • Large – N Model: mean • field of interactingsystem no equilibration!

  5. Oscillator

  6. effective temperature J.R.Gomez-Solano, A.Petrosyan, S.Ciliberto – PRL 106, 200602 (2011)

  7. effective temperature

  8. Energy fluctuations 0 t

  9. Heatfluctuations • q < 0 heatreleased • q > 0 heatabsorbed

  10. fluctuation relation

  11. fluctuation relation

  12. collection of brownianoscillators GAUSSIAN MODEL

  13. Temperature Quench

  14. Temperature Quench spectrum of effectivetemperatures

  15. Fluctuations of extensivequantities: Energy

  16. Fluctuations of extensivequantities: Energy

  17. Fluctuations of extensivequantities: Energy partitionfunction in the biased ensemble

  18. Fluctuations of extensivequantities: Energy biasedfree energy

  19. Fluctuations of extensivequantities: Energy large V saddlepointẑ

  20. fluctuations in the gaussian model • condensation • spherical model • BEC averageproperties in the biased ensemble

  21. condensation

  22. condensation

  23. condensation hottest mode

  24. condensation

  25. condensation

  26. condensation finite contribution from the zero mode

  27. phasediagram condensed normal

  28. phasediagram condensed normal

  29. Fluctuations of extensivequantities: Heat

  30. Fluctuations of extensivequantities: Heat

  31. saddlepointẑ most releasing mode

  32. phasediagram normal condensed

  33. N-VECTOR MODEL

  34. Large N limit self-average

  35. Large N limit self-average

  36. Large N limit self-average

  37. Temperature Quench

  38. Temperature Quench

  39. Temperature Quench unstablemodes

  40. effectivetemperatures

  41. effectivetemperatures

  42. effectivetemperatures

  43. «apparent» equilibrium systempermanently out of equilibrium

  44. energyfluctuations

  45. normalfluctuations

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