Mapping out the thermodynamic stability of a QCD equation of state with a critical point using active learning

D. Mroczek, M. Hjorth-Jensen, J. Noronha-Hostler, P. Parotto, C. Ratti, and R. Vilalta
Phys. Rev. C 107, 054911 – Published 18 May 2023

Abstract

The Beam Energy Scan Theory (BEST) collaboration's equation of state (EoS) incorporates a three-dimensional Ising model critical point into the quantum chromodynamics (QCD) equation of state from lattice simulations. However, it contains four free parameters related to the size and location of the critical region in the QCD phase diagram. Certain combinations of the free parameters lead to acausal or unstable realizations of the EoS that should not be considered. In this work, we use an active learning framework to rule out pathological EoS efficiently. We find that checking stability and causality for a small portion of the parameters' range is sufficient to construct algorithms that perform with >96% accuracy across the entire parameter space. Though in this work we focus on a specific case, our approach can be generalized to any EoS containing a parameter space-class correspondence.

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  • Received 30 March 2022
  • Accepted 4 April 2023

DOI:https://doi.org/10.1103/PhysRevC.107.054911

©2023 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsInterdisciplinary Physics

Authors & Affiliations

D. Mroczek1, M. Hjorth-Jensen2, J. Noronha-Hostler1, P. Parotto3, C. Ratti4, and R. Vilalta5

  • 1Illinois Center for Advanced Studies of the Universe, Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 2Department of Physics and Astronomy and Facility for Rare Ion Beams, Michigan State University, Michigan 48824, USA, Department of Physics and Center for Computing in Science Education, University of Oslo, N-0316 Oslo, Norway
  • 3Pennsylvania State University, Department of Physics, University Park, Pennsylvania 16802, USA
  • 4Department of Physics, University of Houston, Houston, Texas 77204, USA
  • 5Department of Computer Science, University of Houston, Houston, Texas 77204, USA

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Vol. 107, Iss. 5 — May 2023

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