Dynamic scaling of order parameter fluctuations in model B

Journal Article · Thu Oct 05 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.108.074004· OSTI ID:2202383

Chattopadhyay, Chandrodoy ^[1]; Ott, Josh ^[2]; Schäfer, Thomas ^[2]; Skokov, Vladimir ^[3]

---

1. North Carolina State University, Raleigh, NC (United States); North Carolina State University
2. North Carolina State University, Raleigh, NC (United States)
3. North Carolina State University, Raleigh, NC (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)

Brookhaven National Laboratory has performed a dedicated set of experiments, called the Beam Energy Scan (BES), with the goal of location a possible critical point in the phase diagram of nuclear matter, This point is analogous to the endpoint of the liquid-gas phase transition in water, where the liquid phase corresponds to a phase of hadrons, and the gas phase to a plasma of quarks and gluons. In order to describe the data generated by these experiments we have studied numerical simulations of the stochastic diffusion equation with a conserved charge. Here, we focus on the dynamics in the vicinity of a critical point in the Ising universality class. The model we consider is expected to describe the critical dynamics near a possible QCD critical point if the coupling of the order parameter to the momentum density of the fluid can be neglected. The simulations are performed on a spatial lattice, and the time evolution is performed using a Metropolis algorithm. We determine the dynamical critical exponent z ≃ 3.972(2), which agrees with predictions of the epsilon expansion. We also study non-equilibrium sweeps of the reduced temperature and observe approximate Kibble-Zurek scaling.

• 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: 2202383
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 108; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Heavy ion physics
QCD phase transitions
Relativistic heavy-ion collisions