Stochastic hydrodynamics and hydro-kinetics: Similarities and differences
Abstract
The hydro-kinetic formalism has been used as a complementary approach to solving the Stochastic Differential Equations (SDE) corresponding to noisy hydrodynamics. The hydro-kinetic formalism consists of a deterministic set of relaxation type equations that tracks the evolution of 2-point correlation functions of stochastic hydrodynamic quantities. Hence they are comparatively easier to solve than the SDEs, which are computationally intensive and need to deal with arbitrarily large gradients. This work compares the two approaches for the propagation and diffusion of conserved charge fluctuations in the Bjorken hydrodynamic model. For white noise, the two approaches agree. For colored Catteneo noise, which is causal, the two approaches diverge. This is because white noise only induces two-point correlations, while Catteneo noise also induces higher-order correlations. Furthermore, this difference is quantified from the effects of causal evolution and influence from higher-order correlations induced by the Catteneo noise.
- Authors:
-
[1];
[2];
[1]
- Univ. of Minnesota, Minneapolis, MN (United States)
- Wayne State Univ., Detroit, MI (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Wayne State Univ., Detroit, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1903163
- Alternate Identifier(s):
- OSTI ID: 1991222
- Grant/Contract Number:
- SC0021969; FG02-87ER40328
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 106; Journal Issue: 5; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Collective flow; Nuclear matter; Particle correlations & fluctuations; Quark-gluon plasma; Relativistic heavy-ion collisions; Relativistic hydrodynamics
Citation Formats
De, Aritra, Shen, Chun, and Kapusta, Joseph I. Stochastic hydrodynamics and hydro-kinetics: Similarities and differences. United States: N. p., 2022.
Web. doi:10.1103/physrevc.106.054903.
De, Aritra, Shen, Chun, & Kapusta, Joseph I. Stochastic hydrodynamics and hydro-kinetics: Similarities and differences. United States. https://doi.org/10.1103/physrevc.106.054903
De, Aritra, Shen, Chun, and Kapusta, Joseph I. Wed .
"Stochastic hydrodynamics and hydro-kinetics: Similarities and differences". United States. https://doi.org/10.1103/physrevc.106.054903. https://www.osti.gov/servlets/purl/1903163.
@article{osti_1903163,
title = {Stochastic hydrodynamics and hydro-kinetics: Similarities and differences},
author = {De, Aritra and Shen, Chun and Kapusta, Joseph I.},
abstractNote = {The hydro-kinetic formalism has been used as a complementary approach to solving the Stochastic Differential Equations (SDE) corresponding to noisy hydrodynamics. The hydro-kinetic formalism consists of a deterministic set of relaxation type equations that tracks the evolution of 2-point correlation functions of stochastic hydrodynamic quantities. Hence they are comparatively easier to solve than the SDEs, which are computationally intensive and need to deal with arbitrarily large gradients. This work compares the two approaches for the propagation and diffusion of conserved charge fluctuations in the Bjorken hydrodynamic model. For white noise, the two approaches agree. For colored Catteneo noise, which is causal, the two approaches diverge. This is because white noise only induces two-point correlations, while Catteneo noise also induces higher-order correlations. Furthermore, this difference is quantified from the effects of causal evolution and influence from higher-order correlations induced by the Catteneo noise.},
doi = {10.1103/physrevc.106.054903},
journal = {Physical Review. C},
number = 5,
volume = 106,
place = {United States},
year = {Wed Nov 09 00:00:00 EST 2022},
month = {Wed Nov 09 00:00:00 EST 2022}
}
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