Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions
(2020) In Physical Review C 102(2).- Abstract
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... (More)
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.
(Less)
- author
- De, Aritra ; Plumberg, Christopher LU and Kapusta, Joseph I.
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review C
- volume
- 102
- issue
- 2
- article number
- 024905
- publisher
- American Physical Society
- external identifiers
-
- scopus:85093123071
- ISSN
- 2469-9985
- DOI
- 10.1103/PhysRevC.102.024905
- language
- English
- LU publication?
- yes
- id
- 81e7092d-9d7a-4258-b0a2-7648841d2162
- date added to LUP
- 2020-11-10 12:17:40
- date last changed
- 2024-03-20 19:26:09
@article{81e7092d-9d7a-4258-b0a2-7648841d2162,
abstract = {{<p>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.</p>}},
author = {{De, Aritra and Plumberg, Christopher and Kapusta, Joseph I.}},
issn = {{2469-9985}},
language = {{eng}},
number = {{2}},
publisher = {{American Physical Society}},
series = {{Physical Review C}},
title = {{Calculating fluctuations and self-correlations numerically for causal charge diffusion in relativistic heavy-ion collisions}},
url = {{http://dx.doi.org/10.1103/PhysRevC.102.024905}},
doi = {{10.1103/PhysRevC.102.024905}},
volume = {{102}},
year = {{2020}},
}