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We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's…

High Energy Physics - Theory · Physics 2020-02-14 Maximilian Attems , Yago Bea , Jorge Casalderrey-Solana , David Mateos , Miguel Zilhao

A smoking gun signature for a first-order phase transition with negative speed of sound squared $c_s^2$ is the occurrence of a spinodal instability. In the gauge/gravity duality it corresponds to a Gregory-Laflamme type instability, which…

High Energy Physics - Theory · Physics 2021-09-15 Maximilian Attems

The dynamics of first-order phase transitions in strongly coupled systems are relevant in a variety of systems, from heavy ion collisions to the early universe. Holographic theories can be used to model these systems, with fluctuations…

High Energy Physics - Theory · Physics 2024-06-24 Alessio Caddeo , Oscar Henriksson , Carlos Hoyos , Mikel Sanchez-Garitaonandia

We study dynamical properties of strongly coupled chiral matter by using holographic method. We demonstrate, at both linear and nonlinear levels, that perturbations on thermodynamically unstable backgrounds within the spinodal region of…

High Energy Physics - Phenomenology · Physics 2025-07-29 Pei Zheng , Yidian Chen , Danning Li , Mei Huang , Yu-xin Liu

We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, where the non-linearity cannot be negected anymore, and before…

Statistical Mechanics · Physics 2007-05-23 Simon Villain-Guillot , Christophe Josserand

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang

We study the fully nonlinear time evolution of a holographic system possessing a first order phase transition. The initial state is chosen in the spinodal region of the phase diagram, and includes an inhomogeneous perturbation in one of the…

High Energy Physics - Theory · Physics 2018-01-16 Romuald A. Janik , Jakub Jankowski , Hesam Soltanpanahi

We study the critical phenomena of the dynamical transition from a metastable state to a stable state in the model of first-order phase transition via two different triggering mechanisms. Three universal stages during the fully nonlinear…

High Energy Physics - Theory · Physics 2023-02-01 Qian Chen , Yuxuan Liu , Yu Tian , Bin Wang , Cheng-Yong Zhang , Hongbao Zhang

We study spinodal decomposition and coarsening when initiated by localized disturbances in the Cahn-Hilliard equation. Spatio-temporal dynamics are governed by multi-stage invasion fronts. The first front invades a spinodal unstable…

Dynamical Systems · Mathematics 2012-10-17 Arnd Scheel

The phase separation between two immiscible liquids advected by a bidimensional velocity field is investigated numerically by solving the corresponding Cahn-Hilliard equation. We study how the spinodal decomposition process depends on the…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Jean-Louis Barrat , Jorge Kurchan

The evolution of the microstructure due to spinodal decomposition in phase separated mixtures has a strong impact on the final material properties. In the late stage of coarsening, the system is characterized by the growth of a single…

Soft Condensed Matter · Physics 2021-12-09 Björn König , Olivier J. J. Ronsin , Jens Harting

We investigate numerically the influence of an homogeneous shear flow on the spinodal decomposition of a binary mixture by solving the Cahn-Hilliard equation in a two-dimensional geometry. Several aspects of this much studied problem are…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier

We study the linear stability of holographic homogeneous solids (HHS) at finite temperature and in presence of a background shear strain by means of a large scale quasi-normal mode analysis which extends beyond the hydrodynamic limit. We…

High Energy Physics - Theory · Physics 2024-05-22 Matteo Baggioli , Li Li , Wei-Jia Li , Hao-Tian Sun

We examine the effects of hydrodynamics on the late stage kinetics in spinodal decomposition. From computer simulations of a lattice Boltzmann scheme we observe, for critical quenches, that single phase domains grow asymptotically like…

comp-gas · Physics 2009-10-22 F. J. Alexander , S. Chen , D. W. Grunau

The non-modal kinetic theory of the kinetic drift instability of plasma shear flows [Phys.Plasmas, 18, 062103 (2011)] is extended to the investigation of the long-time evolution of the hydrodynamic ion temperature gradient and resistive…

Plasma Physics · Physics 2012-08-31 V. V. Mikhailenko , V. S. Mikhailenko , Hae June Lee

We investigate the dynamical evolution of a thermodynamically unstable crystal surface into a hill-and-valley structure. We demonstrate that, for quasi one-dimensional ordering, the equation of motion maps exactly to the modified…

Condensed Matter · Physics 2009-10-22 Fong Liu , H. Metiu

The stability of organic solar cells is strongly affected by the morphology of the photoactive layers, whose separated crystalline and/or amorphous phases are kinetically quenched far from their thermodynamic equilibrium during the…

Materials Science · Physics 2020-03-31 Olivier J. J. Ronsin , Jens Harting

In the present work fournontrivial stages of electrokinetic instability are identified by direct numerical simulation (DNS) of the full Nernst-Planck-Poisson-Stokes (NPPS) system: i) The stage of the influence of the initial conditions…

Fluid Dynamics · Physics 2015-03-19 E. A. Demekhin , V. S. Shelistov , S. V. Polyanskikh

If a binary liquid mixture, composed of two alternative species with equal amounts, is quenched from a high temperature to a low temperature, below the critical point of demixing, then the mixture will phase separate through a process known…

Statistical Mechanics · Physics 2022-02-04 Thomas J. Longo , Mikhail A. Anisimov

We use a modified Shan-Chen, noiseless lattice-BGK model for binary immiscible, incompressible, athermal fluids in three dimensions to simulate the coarsening of domains following a deep quench below the spinodal point from a symmetric and…

Soft Condensed Matter · Physics 2009-11-10 Nélido González-Segredo , Maziar Nekovee , Peter V. Coveney
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