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K Binder - One of the best experts on this subject based on the ideXlab platform.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional XXZ Heisenberg antiferromagnet
    Physical Review D, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite size behavior on a $L \times L \times L$ simple cubic lattice for the first order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\pi$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first order phase transitions.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional X X Z Heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological ``Degeneracy'' Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, $XXZ$ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}L$ simple cubic lattice for the first-order ``spin-flop'' transition between the Ising-like antiferromagnetic state and the canted, $XY$-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\ensuremath{\pi}$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

  • finite size scaling for a first order transition where a continuous symmetry is broken the spin flop transition in the three dimensional xxz heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    : Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a L×L×L simple cubic lattice for the first-order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension L the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor q that characterizes the relative Degeneracy of the ordered phases. Our theory yields q=π, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

Shanho Tsai - One of the best experts on this subject based on the ideXlab platform.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional XXZ Heisenberg antiferromagnet
    Physical Review D, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite size behavior on a $L \times L \times L$ simple cubic lattice for the first order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\pi$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first order phase transitions.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional X X Z Heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological ``Degeneracy'' Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, $XXZ$ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}L$ simple cubic lattice for the first-order ``spin-flop'' transition between the Ising-like antiferromagnetic state and the canted, $XY$-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\ensuremath{\pi}$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

  • finite size scaling for a first order transition where a continuous symmetry is broken the spin flop transition in the three dimensional xxz heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    : Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a L×L×L simple cubic lattice for the first-order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension L the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor q that characterizes the relative Degeneracy of the ordered phases. Our theory yields q=π, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

D P Landau - One of the best experts on this subject based on the ideXlab platform.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional XXZ Heisenberg antiferromagnet
    Physical Review D, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite size behavior on a $L \times L \times L$ simple cubic lattice for the first order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\pi$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first order phase transitions.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional X X Z Heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological ``Degeneracy'' Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, $XXZ$ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}L$ simple cubic lattice for the first-order ``spin-flop'' transition between the Ising-like antiferromagnetic state and the canted, $XY$-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\ensuremath{\pi}$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

  • finite size scaling for a first order transition where a continuous symmetry is broken the spin flop transition in the three dimensional xxz heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    : Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a L×L×L simple cubic lattice for the first-order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension L the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor q that characterizes the relative Degeneracy of the ordered phases. Our theory yields q=π, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

Jiahao Xu - One of the best experts on this subject based on the ideXlab platform.

  • Finite-size scaling for a first-order transition where a continuous symmetry is broken: The spin-flop transition in the three-dimensional XXZ Heisenberg antiferromagnet
    Physical Review D, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite size behavior on a $L \times L \times L$ simple cubic lattice for the first order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension $L$ the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor $q$ that characterizes the relative Degeneracy of the ordered phases. Our theory yields $q=\pi$, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first order phase transitions.

  • finite size scaling for a first order transition where a continuous symmetry is broken the spin flop transition in the three dimensional xxz heisenberg antiferromagnet
    Physical Review E, 2019
    Co-Authors: Jiahao Xu, Shanho Tsai, D P Landau, K Binder
    Abstract:

    : Finite-size scaling for a first-order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "Degeneracy" Factor included. Predictions are compared with data from Monte Carlo simulations of the three-dimensional, XXZ Heisenberg antiferromagnet in a field in order to study the finite-size behavior on a L×L×L simple cubic lattice for the first-order "spin-flop" transition between the Ising-like antiferromagnetic state and the canted, XY-like state. Our theory predicts that for large linear dimension L the field dependence of all moments of the order parameters as well as the fourth-order cumulants exhibit universal intersections. Corrections to leading order should scale as the inverse volume. The values of these intersections at the spin-flop transition point can be expressed in terms of a Factor q that characterizes the relative Degeneracy of the ordered phases. Our theory yields q=π, and we present numerical evidence that is compatible with this prediction. The agreement between the theory and simulation implies a heretofore unknown universality can be invoked for first-order phase transitions.

Sabyasachi Ghosh - One of the best experts on this subject based on the ideXlab platform.

  • Effect of magnetic field on jet transport coefficient $\hat{q}$
    arXiv: High Energy Physics - Phenomenology, 2021
    Co-Authors: Debjani Banerjee, Souvik Paul, Sabyasachi Ghosh, Prottoy Das, Abhi Modak, Ankita Budhraja, Sidharth Kumar Prasad
    Abstract:

    We report the effect of magnetic field on estimation of jet transport coefficient, $\hat{q}$ using a simplified quasi-particle model. Our adopted quasi-particle model introduces temperature and magnetic field dependent Degeneracy Factors of partons, which are tuned by fitting the magneto-thermodynamical data of lattice quantum chromodynamics. In absence of magnetic field, $\hat{q}$ is estimated by using the temperature dependent Degeneracy Factor. At finite magnetic field, ${\hat q}$ splits into parallel and perpendicular components, whose magnetic field dependent part has two sources. One is field dependent Degeneracy Factor and another is phase space part, guided from shear viscosity to entropy density ratio. Their collective role provides an enhanced jet transport coefficients, which should be considered in detailed jet quenching phenomenology in presence of magnetic field.

  • From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma
    Journal of Physics G: Nuclear and Particle Physics, 2020
    Co-Authors: Sarthak Satapathy, Souvik Paul, Ranjesh Kumar, Ankit Anand, Sabyasachi Ghosh
    Abstract:

    We have attempted to build first some simplified model to map the interaction of quarks and gluons, which can be contained by their thermodynamical quantity like entropy density, obtained from calculation of lattice quantum chromo dynamics (LQCD). With respect to entropy density of the standard non-interacting massless quark gluon plasma (QGP), its interacting values from LQCD simulation are reduced as we go from higher to lower temperature through the cross-over of quark-hadron phase transition. By parameterizing increasing Degeneracy Factor or increasing interaction-fugacity or decreasing thermal width of quarks and gluons with temperature, we have matched LQCD data.Using that interaction picture, shear viscosity and electrical conductivity are calculated. For getting nearly perfect fluid nature of QGP, interaction might have some role when we consider temperature dependent thermal width.

  • Mapping QGP interaction through its temperature dependent Degeneracy Factor
    arXiv: Nuclear Theory, 2020
    Co-Authors: Ranjesh Kumar, Sarthak Satapathy, Souvik Paul, Ankit Anand, Sabyasachi Ghosh
    Abstract:

    We have parameterized the Degeneracy Factor in terms of temperature and using this we have tried to compare and study the LQCD(Lattice Quantum Chromodynamics) data with our data.

  • from non interacting to interacting picture of quark gluon plasma in presence of magnetic field and its fluid property
    arXiv: High Energy Physics - Phenomenology, 2019
    Co-Authors: Jayanta Dey, Sarthak Satapathy, Ankita Mishra, Souvik Paul, Sabyasachi Ghosh
    Abstract:

    We have attempted to build first some simplified model to map the interaction of quarks and gluons in presence of magnetic field, which can be constrained by their thermodynamical quantity like entropy density, obtained from calculation of lattice quantum chromo dynamics. To fulfill that mapping, we have assumed a parametric temperature and magnetic field dependent Degeneracy Factor or fugacity of quarks and gluons. Implementing this QCD interaction in calculation of transport coefficient at finite magnetic field, we have noticed that magnetic field and interaction both are two dominating sources, for which the values of transport coefficients can be reduced. Interestingly, fluidity of quark gluon plasma remain unaffected by interaction, although magnetic field can have an impact on it.