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This paper presents a first-order convex splitting hybridizable/embedded discontinuous Galerkin method for the phase field crystal equation written in mixed form. Since the sixth-order phase field crystal equation is rewritten as a…

Numerical Analysis · Mathematics 2026-03-03 Giselle Saylor , Tamas L. Horvath , Natasha S. Sharma

We study the dynamics of the chiral phase transition expected during the expansion of the quark-gluon plasma produced in a high energy hadron or heavy ion collision, using the $O(4)$ linear sigma model in the mean field approximation.…

High Energy Physics - Phenomenology · Physics 2008-02-03 Yuval Kluger

In this paper, a fast synthetic iterative scheme is developed to accelerate convergence for the implicit DOM based on the stationary phonon BTE. The key innovative point of the present scheme is the introduction of the macroscopic synthetic…

Computational Physics · Physics 2018-12-18 Chuang Zhang , Songze Chen , Zhaoli Guo , Lei Wu

Dynamical transitions, such as a change from bound to unbound motion, often occur as post-adiabatic crossings of a time-dependent separatrix. Whether or not any given orbit will include such a crossing transition typically depends…

Classical Physics · Physics 2018-11-28 Timo Eichmann , Eike P. Thesing , James R. Anglin

How to develop efficient numerical schemes while preserving the energy stability at the discrete level is a challenging issue for the three component Cahn-Hilliard phase-field model. In this paper, we develop first and second order temporal…

Numerical Analysis · Mathematics 2017-02-01 Xiaofeng Yang , Jia Zhao , Qi Wang , Jie Shen

We give a short review of our recent works on the first-order quantum phase transitions in frustrated spin chains with orthogonal-dimer structure. When the ratio of the competing antiferromagnetic exchange couplings is varied, a first-order…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Akira Kawaguchi , Kouichi Okunishi , Norio Kawakami

The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will…

Condensed Matter · Physics 2015-06-25 A. J. Bray

We suggest baryon-baryon correlations as an experimentally accessible signature for a first-order phase transition between a baryon-rich phase, like quarkyonic, and a baryon-suppressed hadronic phase in the QCD phase diagram. We examine the…

Nuclear Theory · Physics 2015-03-13 Agnes Mocsy , Paul Sorensen

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

As an extended and more complete version of the primary QCD nucleation model presented in Ref. [1], the new model introduces explicitly the transition balance and formulates it in both macroscopic and microscopic descriptions. The…

High Energy Physics - Phenomenology · Physics 2025-01-14 Tianzhe Zhou , Qiuze Sun , Jin Hu , Carsten Greiner , Zhe Xu

In this conference proceeding, I discuss in detail the deconfinement to quark matter that takes place at large densities and/or temperatures. The first-order phase transition that is assumed to appear beyond a critical point gives rise to…

Nuclear Theory · Physics 2018-01-26 Veronica Dexheimer

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia

We study the transitional dynamics of the non-Brownian particulate Newtonian liquid jet for different particle volume fractions ($\phi$). We focus on the influence of particle volume fraction on the critical inflow velocity at which the…

Fluid Dynamics · Physics 2026-04-13 Kishorkumar Sarva

We present a class of high order finite volume schemes for the solution of non-conservative hyperbolic systems that combines the one-step ADER-WENO finite volume approach with space-time adaptive mesh refinement (AMR). The resulting…

Numerical Analysis · Mathematics 2015-06-15 Michael Dumbser , Arturo Hidalgo , Olindo Zanotti

We develop a framework of causal hydrodynamic fluctuations in one-dimensional expanding system performing linearisation of the hydrodynamic equations around the boost invariant solution. Through the description of space-time evolution of…

Nuclear Theory · Physics 2023-11-09 Shin-ei Fujii , Tetsufumi Hirano

The pattern of isentropes in the vicinity of a first-order phase transition is proposed as a key for a sub-classification. While the confinement--deconfinement transition, conjectured to set in beyond a critical end point in the QCD phase…

High Energy Physics - Phenomenology · Physics 2016-05-25 Falk Wunderlich , Roman Yaresko , Burkhard Kampfer

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

High Energy Physics - Phenomenology · Physics 2026-04-23 Alejandro Ayala , Bruno El-Bennich , Ricardo L. S. Farias , Luis A. Hernández , Bruno S. Lopes , Luis C. Parra L. , Renato Zamora

An implicit multiscale method with multiple macroscopic prediction for steady state solutions of gas flow in all flow regimes is presented. The method is based on the finite volume discrete velocity method (DVM) framework. At the cell…

Computational Physics · Physics 2020-02-19 Ruifeng Yuan , Chengwen Zhong

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

Unitary transformations can allow one to study open quantum systems in situations for which standard, weak-coupling type approximations are not valid. We develop here an extension of the variational (polaron) transformation approach to open…