Dynamics of non-Gaussian fluctuations in model A

Journal Article · 12 July 2022 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.106.014006 · OSTI ID:2326351

Schäfer, Thomas  ^[1]; Skokov, Vladimir  ^[2]

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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

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 T_c. 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
• 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