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Title: Universality regained: Kibble-Zurek dynamics, off-equilibrium scaling and the search for the QCD critical point

Abstract

We generalize and apply the key elements of the Kibble-Zurek framework of non-equilibrium phase transitions to study the non-equilibrium critical cumulants near the QCD critical point. We demonstrate that the off-equilibrium critical cumulants are expressible as universal scaling functions. Moreover, we discuss how to use off-equilibrium scaling to provide powerful model-independent guidance in searches for the QCD critical point.

Authors:
 [1];  [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1501429
Grant/Contract Number:  
[SC0011090]
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
[ Journal Volume: 967; Journal Issue: C]; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD critical point; critical fluctuations; non-Gaussian cumulants; critical slowing down

Citation Formats

Mukherjee, Swagato, Venugopalan, Raju, and Yin, Yi. Universality regained: Kibble-Zurek dynamics, off-equilibrium scaling and the search for the QCD critical point. United States: N. p., 2017. Web. doi:10.1016/j.nuclphysa.2017.06.049.
Mukherjee, Swagato, Venugopalan, Raju, & Yin, Yi. Universality regained: Kibble-Zurek dynamics, off-equilibrium scaling and the search for the QCD critical point. United States. doi:10.1016/j.nuclphysa.2017.06.049.
Mukherjee, Swagato, Venugopalan, Raju, and Yin, Yi. Wed . "Universality regained: Kibble-Zurek dynamics, off-equilibrium scaling and the search for the QCD critical point". United States. doi:10.1016/j.nuclphysa.2017.06.049. https://www.osti.gov/servlets/purl/1501429.
@article{osti_1501429,
title = {Universality regained: Kibble-Zurek dynamics, off-equilibrium scaling and the search for the QCD critical point},
author = {Mukherjee, Swagato and Venugopalan, Raju and Yin, Yi},
abstractNote = {We generalize and apply the key elements of the Kibble-Zurek framework of non-equilibrium phase transitions to study the non-equilibrium critical cumulants near the QCD critical point. We demonstrate that the off-equilibrium critical cumulants are expressible as universal scaling functions. Moreover, we discuss how to use off-equilibrium scaling to provide powerful model-independent guidance in searches for the QCD critical point.},
doi = {10.1016/j.nuclphysa.2017.06.049},
journal = {Nuclear Physics. A},
number = [C],
volume = [967],
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
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Figures / Tables:

Fig. 1. Fig. 1. : (color online) (left): the representative temporal evolution of the relaxation timemore » $τ$eff (blue and green dashed curve) and quench time $τ$quench (red solid curve) near the critical point. $τ$ is the proper time parametrizing the trajectory and is chosen to be 0 when system is at the critical point. (middle): The off-equilibrium evolution of Gaussian cumulants κ2 determined by solving rate equation proposed in Ref. [4]. Results with different non-universal inputs are shown in red, dashed blue, dotted green and dot-dashed orange curves respectively. The dashed black curve plots the equilibrium value. (right): the rescaled Gaussian cumulants κ2/$l$$^{2}_{KZ}$ vs the rescaled time $τ$/$τ$KZ.« less

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