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Dynamics of non-Gaussian fluctuations in model A

Journal Article · · Physical Review. D.
 [1];  [2]
  1. North Carolina State University, Raleigh, NC (United States); North Carolina State University
  2. North Carolina State University, Raleigh, NC (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center
+ Show Author Affiliations
Motivated by the experimental search for the QCD critical point, we perform simulations of a stochastic field theory with purely relaxational dynamics (model A). We verify the expected dynamic scaling of correlation functions. Using a finite size scaling analysis, we obtain the dynamic critical exponent z = 2.026(56). We investigate time dependent correlation functions of higher moments Mn(t) of the order parameter M(t) for n = 1, 2, 3, 4. We obtain dynamic scaling with the same critical exponent z for all n, but the relaxation constant depends on n. We also study the relaxation of Mn(t) after a quench, where the simulation is initialized in the high temperature phase, and the dynamics is studied at the critical temperature Tc. Finally, we find that the evolution does not follow simple scaling with the dynamic exponent z, and that it involves an early time rise followed by late stage relaxation.
Research Organization:
North Carolina State University, Raleigh, NC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-03ER41260; SC0020081
OSTI ID:
2326351
Alternate ID(s):
OSTI ID: 1875956
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 106; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (32)

Critical dynamics as a field theory journal July 1984
Finite size scaling analysis of ising model block distribution functions journal June 1981
New universal short-time scaling behaviour of critical relaxation processes journal December 1989
Off-equilibrium non-Gaussian fluctuations near the QCD critical point: an effective field theory perspective journal March 2022
Conformal bootstrap with slightly broken higher spin symmetry journal June 2016
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents journal June 2014
Static and dynamic critical phenomena at a second order QCD phase transition journal July 1993
The sphaleron rate: Bödeker's leading log journal February 2000
Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions journal November 2020
The BEST framework for the search for the QCD critical point and the chiral magnetic effect journal January 2022
Spectral functions and dynamic critical behavior of relativistic Z2 theories journal November 2020
Hadronic fluctuations at the QCD phase transition journal February 2006
Mapping the phases of quantum chromodynamics with beam energy scan journal April 2020
Critical dynamics: a field-theoretical approach journal May 2006
Critical ageing of Ising ferromagnets relaxing from an ordered state journal June 2006
Transits of the QCD critical point journal October 2019
Real-time evolution of non-Gaussian cumulants in the QCD critical regime journal September 2015
Dynamics of the O ( 4 ) critical point in QCD journal March 2022
Slowing out of equilibrium near the QCD critical point journal April 2000
Dynamic universality class of the QCD critical point journal September 2004
Transport coefficients of O ( N ) scalar field theories close to the critical point journal May 2012
Hydrodynamics with parametric slowing down and fluctuations near the critical point journal August 2018
Diffusive dynamics of critical fluctuations near the QCD critical point journal June 2019
Dynamic critical exponent z of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model journal February 2020
Long-time traces of the initial condition in relaxation phenomena near criticality journal June 1995
Non-Gaussian Fluctuations near the QCD Critical Point journal January 2009
Third Moments of Conserved Charges as Probes of QCD Phase Structure journal December 2009
Sign of Kurtosis near the QCD Critical Point journal July 2011
Evolution of Non-Gaussian Hydrodynamic Fluctuations journal August 2021
Signatures of the Tricritical Point in QCD journal November 1998
Theory of dynamic critical phenomena journal July 1977
Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC journal July 2011

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