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SUMMARY:Fluctuation-dissipation relation and fluctuation theorem for causa
l hydrodynamic fluctuations
DTSTART;VALUE=DATE-TIME:20191104T094000Z
DTEND;VALUE=DATE-TIME:20191104T100000Z
DTSTAMP;VALUE=DATE-TIME:20200221T212204Z
UID:indico-contribution-3549017@indico.cern.ch
DESCRIPTION:Speakers: Koichi Murase (Sophia University)\nRecently physics
of thermal fluctuations of hydrodynamic fields\, namely the hydrodynamic f
luctuations\, in high-energy nuclear collisions are actively discussed. In
this talk I will discuss new modification terms [1] in fluctuation-dissip
ation relation (FDR)\, which determines the power of hydrodynamic noise fi
elds\, and also discuss its importance in the point of view the fluctuatio
n theorem [2]\, which is a relation of the entropy production probability
known in non-equilibrium statistical mechanics.\n\nThe effects of hydrodyn
amic fluctuations on heavy-ion observables such as flow coefficients and l
ongitudinal decorrelation $r_n(\\eta_a\, \\eta_b)$ are recently analyzed i
n event-by-event simulations by dynamical models [3-6]. Also the thermal f
luctuations near the critical point also play an important role in the cri
tical dynamics. In this sense the hydrodynamic fluctuations in dynamical m
odels are becoming more and more important. The FDR used in dynamical mode
ls is normally obtained in the global equilibrium. However\, in expanding
systems such as matter created in the nuclear collisions\, the FDR is non-
trivial. I obtain new modification terms to the FDR in the second-order ca
usal dissipative hydrodynamics by considering the linear-response in non-s
tatic and inhomogeneous backgrounds. I discuss its relation to the steady-
state fluctuation theorem. Also\, by performing the numerical simulations
of non-linear relativistic fluctuating hydrodynamics assuming the Bjorken
flow\, I investigate the non-linear fluctuation effects to the fluctuation
theorem.\n\n - [1] K. Murase\, arXiv:1904.11217 [nucl-th] (2019).\n - [2]
T. Hirano\, R. Kurita\, K. Murase\, Nucl. Phys. A **984**\, 44-67 (2019).
\n - [3] K. Murase\, T. Hirano\, Nucl. Phys. A **956**\, 276-279 (2016).\n
- [4] A. Sakai\, K. Murase\, T. Hirano\, Nucl. Phys. A **967**\, 445-448
(2017).\n - [5] M. Singh\, C. Shen\, S. McDonald\, S. Jeon\, C. Gale\, Nuc
l. Phys. A **982**\, 319-322 (2019)\n - [6] A. Sakai\, K. Murase\, T. Hira
no\, Nucl. Phys. A **982**\, 339-342 (2019).\n\nhttps://indico.cern.ch/eve
nt/792436/contributions/3549017/
LOCATION:Wanda Han Show Theatre & Wanda Reign Wuhan Hotel
URL:https://indico.cern.ch/event/792436/contributions/3549017/
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