Diffusive dynamics of critical fluctuations near the QCD critical point
- Univ. de Nantes (France); GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)
- Univ. of Wroclaw (Poland)
- North Carolina State Univ., Raleigh, NC (United States)
- Duke Univ., Durham, NC (United States)
A quantitatively reliable theoretical description of the dynamics of fluctuations in nonequilibrium is indispensable in the experimental search for the QCD critical point by means of ultrarelativistic heavy-ion collisions. Herein we consider the fluctuations of the net-baryon density which becomes the slow, critical mode near the critical point. Due to net-baryon number conservation the dynamics is described by the fluid dynamical diffusion equation, which we extend to contain a white noise stochastic current. Including nonlinear couplings from the 3d Ising model universality class in the free energy functional, we solve the fully interacting theory in a finite size system. We observe that purely Gaussian white noise generates non-Gaussian fluctuations, but finite size effects and exact net-baryon number conservation lead to significant deviations from the expected behavior in equilibrated systems. In particular the skewness shows a qualitative deviation from infinite volume expectations.With this benchmark established we study the real-time dynamics of the fluctuations. We recover the expected dynamical scaling behavior and observe retardation effects and the impact of critical slowing down near the pseudocritical temperature.
- Research Organization:
- North Carolina State University, Raleigh, NC (United States); Duke Univ., Durham, NC (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); European Union's Horizon 2020; National Science Centre of Poland (NCN); DoE Beam Energy Scan Theory (BEST) Topical Collaboration; ExtreMe Matter Institute (EMMI)
- Grant/Contract Number:
- FG02-03ER41260; FG02-05ER41367; 665778; UMO-2016/21/P/ST2/ 04035
- OSTI ID:
- 1609460
- Alternate ID(s):
- OSTI ID: 1546258
- Journal Information:
- Physical Review. D., Vol. 99, Issue 11; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Temperatures and chemical potentials at kinetic freeze-out in relativistic heavy ion collisions from coarse grained transport simulations
|
journal | January 2020 |
Critical behavior of the bulk viscosity in QCD
|
journal | October 2019 |
Critical fluctuations in a dynamically expanding heavy-ion collision | text | January 2020 |
A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions | text | January 2020 |
Similar Records
Fluctuations and correlations of baryonic chiral partners
Baryon number diffusion with critical fluctuations