Generalized susceptibilities along the phase boundary of the three-dimensional, three-state Potts model
arXiv:1407.7957 · doi:10.1088/0954-3899/42/1/015104
Abstract
Through the Monte Carlo simulation of the three-dimensional, three-state Potts model, which is a paradigm of finite-temperature pure gauge QCD, we study the fluctuations of generalized susceptibilities near the temperatures of external fields of first-, second-order phase transitions and crossover. Similar peak-like fluctuation appears in the second order susceptibility at three given external fields. Oscillation-like fluctuation appears in the third and fourth order susceptibilities. We find that these non-monotonic fluctuations are not only associated with the second-order phase transition, but also the first-order one and crossover in a system of finite-size. We further present the finite-size scaling analysis of the second and fourth order susceptibilities, respectively. The exponent of the scaling characterizes the order of the transitions, or the crossover.
arXiv comment9 pages, 5 figures
References in corpus (22)
- The order of the quantum chromodynamics transition predicted by the standard model of particle physics
- The chiral and deconfinement aspects of the QCD transition
- Signatures of the Tricritical Point in QCD
- The QCD phase diagram for small densities from imaginary chemical potential
- On the Phase Diagram of QCD
- Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
- On the sign of kurtosis near the QCD critical point
- Ising Universality in Three Dimensions: A Monte Carlo Study
- Baryon Number, Strangeness and Electric Charge Fluctuations in QCD at High Temperature
- Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
- Canonical partition function and finite density phase transition in lattice QCD
- Third moments of conserved charges as probes of QCD phase structure
- Critical Points in the Linear Sigma Model with Quarks
- Dynamic Phase Transition, Universality, and Finite-size Scaling in the Two-dimensional Kinetic Ising Model in an Oscillating Field
- Vacuum fluctuations and the thermodynamics of chiral models
- The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
- Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
- The Chiral Critical Point in 3-Flavour QCD
- Three-Dimensional 3-State Potts Model Revisited With New Techniques
- The three-dimensional, three-state Potts Model in an External Field
- Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
- The Functional Renormalization Group and O(4) scaling