scholarly journals Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model

2017 ◽  
Vol 118 (11) ◽  
Author(s):  
Takahiro Nemoto ◽  
Robert L. Jack ◽  
Vivien Lecomte
Keyword(s):  
Phase Transition ◽  
Population Dynamics ◽  
Finite Size ◽  
Effective Model ◽  
Finite Size Scaling ◽  
Dynamical Phase Transition ◽  
First Order ◽  
Dynamical Phase ◽  
Size Scaling

Thermal QCD deconfining phase transition in a finite volume within color-singletness and excluded volume effects: a finite size scaling analysis using cumulants

2013 ◽  
Vol 91 (10) ◽  
pp. 793-800 ◽  
Author(s):  
Amel Ait El Djoudi
Keyword(s):  
Phase Transition ◽  
Finite Volume ◽  
Finite Size ◽  
Scaling Exponent ◽  
Finite Size Scaling ◽  
Scaling Exponents ◽  
First Order ◽  
Excluded Volume Effects ◽  
Size Scaling ◽  
Theoretical Approaches

We study the properties of the deconfining phase transition for a finite-volume system in which the hadronic and quark–gluon plasma phases coexist and the finite extensions of the hadrons are taken into account. Finite-size effects are examined by probing the behavior of some useful response functions near the transition, and scaling exponents are determined using a finite-size scaling (FSS) analysis. For the shift scaling exponent, the finite-size transition point is determined from several definitions, and we propose new ways of defining this quantity, using cumulants of the probability distribution. Our study shows that the deconfining phase transition stays first-order, the scaling exponents being equal to unity. This result is consistent with the predictions of the standard FSS theoretical approaches to a first-order phase transition, and with results using Monte Carlo methods in lattice QCD and other models in statistical physics.

scholarly journals Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 150 ◽  
Author(s):  
A. Vukics ◽  
A. Dombi ◽  
J. M. Fink ◽  
P. Domokos
Keyword(s):  
Phase Transition ◽  
Thermodynamic Limit ◽  
Quantum Phase Transition ◽  
Finite Size ◽  
Quantum Phase ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
First Order Phase Transition ◽  
Photon Blockade

We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.

scholarly journals Transmuted Finite-size Scaling at First-order Phase Transitions

2014 ◽  
Vol 57 ◽  
pp. 68-72 ◽  
Author(s):  
Marco Mueller ◽  
Wolfhard Janke ◽  
Desmond A. Johnston
Keyword(s):  
Phase Transitions ◽  
Finite Size ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
First Order Phase
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