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Title: Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions

Abstract

Here, we study the propagation and diffusion of electric charge fluctuations in the Bjorken hydrodynamic model with both white and Catteneo noise using purely numerical methods. We show that a lattice of noise fluctuations is required to fully calculate the two-point correlators of charge. We introduce a numerical procedure to solve the stochastic differential equations that arise from the charge conservation equation on the lattice event by event. We explicitly identify the self-correlation term in the case of Catteneo noise and provide a physical interpretation. We provide a numerical recipe to remove this contribution from the full two-point correlators. Finally, we calculate the balance functions for charged hadrons. By limiting the speed of signal propagation, we observe the expected narrowing of the balance functions after removing the self-correlations.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. Lund Univ. (Sweden)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1800661
Grant/Contract Number:  
FG02-87ER40328
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 102; Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics

Citation Formats

De, Aritra, Plumberg, Christopher, and Kapusta, Joseph I. Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions. United States: N. p., 2020. Web. doi:10.1103/physrevc.102.024905.
De, Aritra, Plumberg, Christopher, & Kapusta, Joseph I. Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions. United States. https://doi.org/10.1103/physrevc.102.024905
De, Aritra, Plumberg, Christopher, and Kapusta, Joseph I. Fri . "Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions". United States. https://doi.org/10.1103/physrevc.102.024905. https://www.osti.gov/servlets/purl/1800661.
@article{osti_1800661,
title = {Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions},
author = {De, Aritra and Plumberg, Christopher and Kapusta, Joseph I.},
abstractNote = {Here, we study the propagation and diffusion of electric charge fluctuations in the Bjorken hydrodynamic model with both white and Catteneo noise using purely numerical methods. We show that a lattice of noise fluctuations is required to fully calculate the two-point correlators of charge. We introduce a numerical procedure to solve the stochastic differential equations that arise from the charge conservation equation on the lattice event by event. We explicitly identify the self-correlation term in the case of Catteneo noise and provide a physical interpretation. We provide a numerical recipe to remove this contribution from the full two-point correlators. Finally, we calculate the balance functions for charged hadrons. By limiting the speed of signal propagation, we observe the expected narrowing of the balance functions after removing the self-correlations.},
doi = {10.1103/physrevc.102.024905},
journal = {Physical Review C},
number = 2,
volume = 102,
place = {United States},
year = {Fri Aug 07 00:00:00 EDT 2020},
month = {Fri Aug 07 00:00:00 EDT 2020}
}

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