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In the current work an equation of state model with a first-order phase transition for astrophysical applications is presented. The model is based on a two-phase approach for quark-hadron phase transitions, which leads by construction to a…

Nuclear Theory · Physics 2021-01-26 Niels-Uwe F. Bastian

We construct general models for holographic superconductivity parametrized by three couplings which are functions of a real scalar field and show that under general assumptions they describe superconducting phase transitions. While some…

High Energy Physics - Theory · Physics 2014-11-20 Francesco Aprile , Jorge G. Russo

We study the scalar condensation of a general holographic superconductor model in AdS black hole background away from the probe limit. We find the model parameters together with the scalar mass and backreaction can determine the order of…

High Energy Physics - Theory · Physics 2015-03-04 Yan Peng , Yunqi Liu

Using the holographic correspondence as a tool, we study the dynamics of first-order phase transitions in strongly coupled gauge theories at finite temperature. Considering an evolution from the large to the small temperature phase, we…

High Energy Physics - Theory · Physics 2021-02-03 Francesco Bigazzi , Alessio Caddeo , Aldo L. Cotrone , Angel Paredes

Topological phases of matter are often understood and predicted with the help of crystal symmetries, although they don't rely on them to exist. In this chapter we review how topological phases have been recently shown to emerge in amorphous…

Disordered Systems and Neural Networks · Physics 2022-08-23 Adolfo G. Grushin

Using extensive molecular dynamics simulations we explore the fine-grained phase space structure of systems with long-range interactions. We find that if the initial phase space particle distribution has no holes, the final stationary…

Statistical Mechanics · Physics 2013-04-22 Renato Pakter , Yan Levin

We study numerically the time evolution of two-dimensional (2D) domain patterns in proper tetragonal-orthorhombic (T-O) ferroelastics. Our results, found by solving equations of motion derived from classical elasticity theory, disagree with…

Condensed Matter · Physics 2009-10-31 S. H. Curnoe , A. E. Jacobs

We study the breaking of an Abelian symmetry close to the horizon of a black string as well as close to the tip of a solitonic, cigar-shaped solution in (3+1)-dimensional Anti-de Sitter space-time. We use these solutions to describe…

High Energy Physics - Theory · Physics 2015-03-18 Yves Brihaye , Betti Hartmann

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

A model of phase transitions with coupling between the order parameter and its gradient is proposed. It is shown, that this nonlinear model is suitable for the description of phase transitions accompanied by the formation of spatially…

Statistical Mechanics · Physics 2013-03-19 B. I. Lev , A. G. Zagorodny

We introduce and analyze a general one-dimensional model for the description of transient patterns which occur in the evolution between two spatially homogeneous states. This phenomenon occurs, for example, during the Freedericksz…

Condensed Matter · Physics 2009-10-22 A. Amengual , E. Hernandez-Garcia , M. San Miguel

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro

We consider a strongly nonlinear PDE system describing solid-solid phase transitions in shape memory alloys. The system accounts for the evolution of an order parameter (related to different symmetries of the crystal lattice in the phase…

Analysis of PDEs · Mathematics 2013-07-08 Elena Bonetti , Pierluigi Colli , Mauro Fabrizio , Gianni Gilardi

The dynamics of a system of particles subject to a 4th order potential field modeling the space-time evolution of wedge disclinations is studied, focusing on finite systems of disclinations within a circular domain. Existence theorems for…

Dynamical Systems · Mathematics 2024-08-29 Pierluigi Cesana , Alfio Grillo , Marco Morandotti , Andrea Pastore

We study the nature of the dynamics in a first-order quantum phase transition between spherical and prolate-deformed nuclear shapes. Classical and quantum analyses reveal a change in the system from a chaotic H\'enon-Heiles behavior on the…

Nuclear Theory · Physics 2013-04-19 A. Leviatan , M. Macek

Binary mixtures prepared in an homogeneous phase and quenched into a two-phase region phase-separate via a coarsening process whereby domains of the two phases grow in time. With a numerical study of a spin-exchange model we show that this…

Statistical Mechanics · Physics 2016-11-28 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

We develop a resonance theory to describe the evolution of open systems with time-dependent dynamics. Our approach is based on piecewise constant Hamiltonians: we represent the evolution on each constant bit using a recently developed…

Mathematical Physics · Physics 2011-08-25 Marco Merkli , Shannon Starr

We present new results on the equation of state and transition line of hot and dense strongly interacting QCD matter, obtained from a bottom-up Einstein-Maxwell-Dilaton holographic model. We considerably expand the previous coverage in…

Various phase transitions could have taken place in the early Universe, and may occur in the course of heavy-ion collisions and supernova explosions, in proto-neutron stars, cold compact stars, and in the condensed matter at terrestrial…

Nuclear Theory · Physics 2020-01-30 D. N. Voskresensky

Non-linear maps can possess various dynamical behaviors varying from stable steady states and cycles to chaotic oscillations. Most models assume that individuals within a given population are identical ignoring the fundamental role of…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev