scholarly journals Building effective models from sparse but precise data: Application to an alloy cluster expansion model

2010 ◽  
Vol 81 (1) ◽  
Author(s):  
Eric Cockayne ◽  
Axel van de Walle
Keyword(s):  
Cluster Expansion ◽  
Precise Data ◽  
Data Application ◽  
Alloy Cluster ◽  
Effective Models ◽  
Expansion Model

scholarly journals Quark Cluster Expansion Model for Interpreting Finite-T Lattice QCD Thermodynamics

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 514
Author(s):  
David Blaschke ◽  
Kirill A. Devyatyarov ◽  
Olaf Kaczmarek
Keyword(s):  
Lattice Qcd ◽  
Cluster Expansion ◽  
Quark Gluon Plasma ◽  
Degrees Of Freedom ◽  
Gluon Plasma ◽  
Polyakov Loop ◽  
Unified Approach ◽  
Narrow Temperature Interval ◽  
Levinson Theorem ◽  
Expansion Model

In this work, we present a unified approach to the thermodynamics of hadron–quark–gluon matter at finite temperatures on the basis of a quark cluster expansion in the form of a generalized Beth–Uhlenbeck approach with a generic ansatz for the hadronic phase shifts that fulfills the Levinson theorem. The change in the composition of the system from a hadron resonance gas to a quark–gluon plasma takes place in the narrow temperature interval of 150–190 MeV, where the Mott dissociation of hadrons is triggered by the dropping quark mass as a result of the restoration of chiral symmetry. The deconfinement of quark and gluon degrees of freedom is regulated by the Polyakov loop variable that signals the breaking of the Z(3) center symmetry of the color SU(3) group of QCD. We suggest a Polyakov-loop quark–gluon plasma model with O(αs) virial correction and solve the stationarity condition of the thermodynamic potential (gap equation) for the Polyakov loop. The resulting pressure is in excellent agreement with lattice QCD simulations up to high temperatures.

scholarly journals Lattice-based QCD equation of state at finite baryon density: Cluster Expansion Model

2019 ◽  
Vol 982 ◽  
pp. 859-862 ◽  
Author(s):  
V. Vovchenko ◽  
J. Steinheimer ◽  
O. Philipsen ◽  
A. Pásztor ◽  
Z. Fodor ◽  
...  
Keyword(s):  
Equation Of State ◽  
Cluster Expansion ◽  
Baryon Density ◽  
Expansion Model

Magnetic cluster expansion model for bcc-fcc transitions in Fe and Fe-Cr alloys

2010 ◽  
Vol 81 (18) ◽  
Author(s):  
M. Yu. Lavrentiev ◽  
D. Nguyen-Manh ◽  
S. L. Dudarev
Keyword(s):  
Cluster Expansion ◽  
Magnetic Cluster ◽  
Expansion Model

scholarly journals Magnetic cluster expansion model for random and ordered magnetic face-centered cubic Fe-Ni-Cr alloys

2016 ◽  
Vol 120 (4) ◽  
pp. 043902 ◽  
Author(s):  
M. Yu. Lavrentiev ◽  
J. S. Wróbel ◽  
D. Nguyen-Manh ◽  
S. L. Dudarev ◽  
M. G. Ganchenkova
Keyword(s):  
Cluster Expansion ◽  
Face Centered Cubic ◽  
Magnetic Cluster ◽  
Face Centered ◽  
Expansion Model

scholarly journals Cluster expansion model for QCD baryon number fluctuations: No phase transition at μB/T<π

2018 ◽  
Vol 97 (11) ◽  
Author(s):  
Volodymyr Vovchenko ◽  
Jan Steinheimer ◽  
Owe Philipsen ◽  
Horst Stoecker
Keyword(s):  
Phase Transition ◽  
Cluster Expansion ◽  
Baryon Number ◽  
Expansion Model

scholarly journals Quark Cluster Expansion Model for Interpreting Finite-T Lattice Qcd Thermodynamics

2021 ◽  
Author(s):  
David Blaschke ◽  
Kirill Devyatyarov ◽  
Olaf Kaczmarek
Keyword(s):  
Lattice Qcd ◽  
Cluster Expansion ◽  
Quark Gluon Plasma ◽  
Degrees Of Freedom ◽  
Gluon Plasma ◽  
Polyakov Loop ◽  
Unified Approach ◽  
Narrow Temperature Interval ◽  
Levinson Theorem ◽  
Expansion Model

We present a unified approach to the thermodynamics of hadron-quark-gluon matter at finite temperatures on the basis of a quark cluster expansion in the form of a generalized Beth-Uhlenbeck approach with a generic ansatz for the hadronic phase shifts that fulfills the Levinson theorem. The change in the composition of the system from a hadron resonance gas to a quark-gluon plasma takes place in the narrow temperature interval of 150&minus;185 MeV where the Mott dissociation of hadrons is triggered by the dropping quark mass as a result of the restoration of chiral symmetry. The deconfinement of quark and gluon degrees of freedom is regulated by the Polyakov loop variable that signals the breaking of the Z(3) center symmetry of the color SU(3) group of QCD. We suggest a Polyakov-loop quark-gluon plasma model with O(&alpha;s) virial correction and solve the stationarity condition of the thermodynamic potential (gap equation) for the Polyakov loop. The resulting pressure is in excellent agreement with lattice QCD simulations up to high temperatures.

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