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arXiv · 1811.09466

Universal scaling of the sigma field and net-protons from Langevin dynamics of model A

Shanjin Wu·Zeming Wu·Huichao Song
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Abstract

In this paper, we investigate the Kibble-Zurek scaling of the sigma field and net-protons within the framework of Langevin dynamics of model A. After determining the characteristic scales $\tau_{kz},l_{kz}$ and $\theta_{kz}$ and properly rescaling the traditional cumulants, we construct universal functions for the sigma field and approximate universal functions for net-protons in the critical regime, which are insensitive to the relaxation time and the chosen evolving trajectory. Besides, the oscillating behavior for the higher order cumulants of net-protons near the critical point is also drastically suppressed, which converge into approximate universal curves with these constructed Kibble-Zurek functions.

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Shanjin Wu, Zeming Wu, Huichao Song. 2018-11-23. Universal scaling of the sigma field and net-protons from Langevin dynamics of model A. https://doi.org/10.1103/physrevc.99.064902

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