“…cause the temperature derivative of the chiral condensate has simply one peak, we can not tell when and where the crossover phase transition would convert to a first-order one at the critical endpoint (CEP) with a second order phase transition [46,50]. In order to locate the CEP in the phase diagram, the quark number susceptibility is to be introduced, and it is believed to be divergent at the CEP [4,5].…”
Section: T Cmentioning
confidence: 99%
“…1. Notably, the location of the CEP from the theory calculations is scattered over the region of MeV and MeV [4,5]. QCD-based model calculations like the NJL model [56,57], QM model [58,59], PNJ [10], and PQM [12−14] produce a relative larger critical chemical potential around MeV.…”
Section: T Cmentioning
confidence: 99%
“…These experiments allow us to inspect and reveal the fundamental properties of the strong interaction. Moreover, to explore a wider range of the QCD phase diagram up to several times the normal nuclear-matter density, the new Facility for Antiproton and Ion Research at Darmstadt, the Nuclotron-based Ion Collider Facility at the Joint Institute for Nuclear Research in Dubna, and the Japan Proton Accelerator Research Complex at Japan Atomic Energy Research Institute and Japan's National Laboratory for High Energy Physics have been scheduled and planned, and the CEP can be explored in phase II of Beam Energy Scan program at RHIC and in upcoming experiments [4,5].…”
We investigate the dynamics of a first-order quark-hadron transition via homogeneous thermal nucleation in the two-flavor quark-meson model. The contribution of the fermionic vacuum loop in the effective thermodynamics potential and phase diagram together with the location of critical end point (CEP) have been obtained in the temperature and chemical potential plane. For a weak and strong first-order phase transition, by taking the temperature as a variable, the critical bubble profiles, the evolutions of the surface tension and the saddle-point action in the presence of a nucleation bubble are numerically calculated in detail when fixing the chemical potentials at $\mu=306 \mathrm{MeV}$ and $\mu=309 \mathrm{MeV}$. Our results show that the system could be trapped in the metastable state for a long time as long as the temperature is between the metastable region characterized by the up and low spinodal lines. Moreover, the surface tension at criticality will rise up to about $4 \mathrm{MeV/fm^2}$ when the chemical potential is very high. Such a small value of the surface tension would favor a mixed phase in the cores of compact stars and may have an important implication in astrophysics. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
“…cause the temperature derivative of the chiral condensate has simply one peak, we can not tell when and where the crossover phase transition would convert to a first-order one at the critical endpoint (CEP) with a second order phase transition [46,50]. In order to locate the CEP in the phase diagram, the quark number susceptibility is to be introduced, and it is believed to be divergent at the CEP [4,5].…”
Section: T Cmentioning
confidence: 99%
“…1. Notably, the location of the CEP from the theory calculations is scattered over the region of MeV and MeV [4,5]. QCD-based model calculations like the NJL model [56,57], QM model [58,59], PNJ [10], and PQM [12−14] produce a relative larger critical chemical potential around MeV.…”
Section: T Cmentioning
confidence: 99%
“…These experiments allow us to inspect and reveal the fundamental properties of the strong interaction. Moreover, to explore a wider range of the QCD phase diagram up to several times the normal nuclear-matter density, the new Facility for Antiproton and Ion Research at Darmstadt, the Nuclotron-based Ion Collider Facility at the Joint Institute for Nuclear Research in Dubna, and the Japan Proton Accelerator Research Complex at Japan Atomic Energy Research Institute and Japan's National Laboratory for High Energy Physics have been scheduled and planned, and the CEP can be explored in phase II of Beam Energy Scan program at RHIC and in upcoming experiments [4,5].…”
We investigate the dynamics of a first-order quark-hadron transition via homogeneous thermal nucleation in the two-flavor quark-meson model. The contribution of the fermionic vacuum loop in the effective thermodynamics potential and phase diagram together with the location of critical end point (CEP) have been obtained in the temperature and chemical potential plane. For a weak and strong first-order phase transition, by taking the temperature as a variable, the critical bubble profiles, the evolutions of the surface tension and the saddle-point action in the presence of a nucleation bubble are numerically calculated in detail when fixing the chemical potentials at $\mu=306 \mathrm{MeV}$ and $\mu=309 \mathrm{MeV}$. Our results show that the system could be trapped in the metastable state for a long time as long as the temperature is between the metastable region characterized by the up and low spinodal lines. Moreover, the surface tension at criticality will rise up to about $4 \mathrm{MeV/fm^2}$ when the chemical potential is very high. Such a small value of the surface tension would favor a mixed phase in the cores of compact stars and may have an important implication in astrophysics. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
“…The properties of the QCD phase diagram in the temperature-baryon chemical potential plane are studied both experimentally and theoretically very intensively; see, e.g., [1][2][3][4].…”
We compute the canonical partition functions and the Lee–Yang zeros in Nf=2 lattice QCD at temperature T=1.20Tc lying above the Roberge–Weiss phase transition temperature TRW. The phase transition is characterized by the discontinuities in the baryon number density at specific values of imaginary baryon chemical potential. We further develop our method to compute the canonical partition functions using the asymptotic expression for respective integral. Then, we compute the Lee–Yang zeros and study their behavior in the limit of high baryon density.
“…Specifically, research of the phase transitions of nuclear matter governed by quantum chromodynamics (QCD) is crucial to our understanding of the nature of strong interactions and has burgeoned into a pivotal research area. [1,2] This includes explorations of, e.g., nuclear liquid-gas phase transition, [3][4][5][6][7][8][9][10] as well as the phase structure of hot and dense QCD matter. [11][12][13] However, the non-perturbative nature of QCD, especially at low energies, makes information about phase transitions particularly elusive, often surpassing the capabilities of traditional theoretical methods.…”
In recent years, machine learning (ML) techniques have emerged as powerful tools for studying many-body complex systems, and encompassing phase transitions in various domains of physics. This mini review provides a concise yet comprehensive examination of the advancements achieved in applying ML to investigate phase transitions, with a primary focus on those involved in nuclear matter studies.
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