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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 Marco Zannetti - U Salerno in collaboration with Federico Corberi - U Salerno Giuseppe Gonnella - U Bari Antonio Piscitelli - U Napoli
temperature quench • study offluctuations • duringrelaxation • energy • heat
temperature quench • BrownianOscillator • Gaussian Model : collection • of independentoscillators • condensation of fluctuations
temperature quench • BrownianOscillator • Gaussian Model • Large – N Model: mean • field of interactingsystem no equilibration!
effective temperature J.R.Gomez-Solano, A.Petrosyan, S.Ciliberto – PRL 106, 200602 (2011)
effective temperature
Heatfluctuations • q < 0 heatreleased • q > 0 heatabsorbed
collection of brownianoscillators GAUSSIAN MODEL
Temperature Quench spectrum of effectivetemperatures
Fluctuations of extensivequantities: Energy partitionfunction in the biased ensemble
Fluctuations of extensivequantities: Energy biasedfree energy
Fluctuations of extensivequantities: Energy large V saddlepointẑ
fluctuations in the gaussian model • condensation • spherical model • BEC averageproperties in the biased ensemble
condensation hottest mode
condensation finite contribution from the zero mode
phasediagram condensed normal
phasediagram condensed normal
saddlepointẑ most releasing mode
phasediagram normal condensed
Large N limit self-average
Large N limit self-average
Large N limit self-average
Temperature Quench unstablemodes
«apparent» equilibrium systempermanently out of equilibrium