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Related papers: Dynamics of Phase Separation from Holography

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In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of…

Dynamical Systems · Mathematics 2020-06-24 James MacLaurin

This work investigates phase separation of a monodisperse gas of inelastically colliding hard disks confined in a two-dimensional annulus, the inner circle of which represents a "thermal wall". When described by granular hydrodynamic…

Soft Condensed Matter · Physics 2015-06-25 Manuel Diez-Minguito , Baruch Meerson

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 stability of an expanding parton plasma is analyzed within quasi-particle models. The effective mass of the parton is calculated self-consistently from a gap equation which is either obtained from the Nambu Jona-Lasinio Lagrangian or…

Nuclear Theory · Physics 2007-05-23 P. Bozek , Y. B. He , J. Huefner

We study the poles of the retarded Green's functions of strongly coupled field theories exhibiting a variety of phase structures from a crossover up to a first order phase transition. These theories are modeled by a dual gravitational…

High Energy Physics - Theory · Physics 2016-08-31 Romuald A. Janik , Jakub Jankowski , Hesam Soltanpanahi

We establish metastability of the one-dimensional Cahn-Hilliard equation for initial data that is order-one in energy and order-one in $\dot{H}^{-1}$ away from a point on the so-called slow manifold with $N$ well-separated layers.…

Analysis of PDEs · Mathematics 2017-06-01 Sebastian Scholtes , Maria G. Westdickenberg

We investigate aspects of non-equilibrium dynamics of strongly coupled field theories within holography. We establish a hydrodynamic description for anomalous quantum field theories subject to a strong external field for the first time in…

High Energy Physics - Theory · Physics 2020-12-21 Sebastian Grieninger

Phase transition kinetics of aqueous hydroxypropyl cellulose solution was studied by using turbidimetric monitoring and mathematical modelling techniques. Based on the nonlinear Cahn-Hilliard equation with a mobility depending on the…

Soft Condensed Matter · Physics 2021-12-21 V. I. Kovalchuk

Granular hydrodynamics predicts symmetry-breaking instability in a two-dimensional (2D) ensemble of nearly elastically colliding smooth hard spheres driven, at zero gravity, by a rapidly vibrating sidewall. Super- and subcritical…

Soft Condensed Matter · Physics 2009-11-07 Eli Livne , Baruch Meerson , Pavel V. Sasorov

We use holography to study collisions of phase domains formed in a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We find three qualitatively different dynamical regimes depending on the…

First-order phase transitions occur through the nucleation of critical bubbles of the stable phase within the metastable phase. Using holography, we present a fully microscopic description of these bubbles in a strongly coupled,…

High Energy Physics - Theory · Physics 2026-04-02 Carlos Hoyos , David Mateos , Wilke van der Schee , Javier G. Subils

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

We use holography to analyse relativistic collisions in a one-parameter family of strongly coupled gauge theories with thermal phase transitions. For a critical value of the parameter the transition is second order, for subcritical values…

High Energy Physics - Theory · Physics 2019-01-30 Maximilian Attems , Yago Bea , Jorge Casalderrey-Solana , David Mateos , Miquel Triana , Miguel Zilhao

We study a scenario for the very early universe in which there is a fast phase transition from a non-geometric, high temperature phase to a low temperature, geometric phase described by a classical solution to the Einstein equations. In…

Astrophysics · Physics 2008-11-26 Joao Magueijo , Lee Smolin , Carlo R. Contaldi

Tuning a very simple two-component holographic superfluid model, we can have a first order phase transition between two superfluid phases in the probe limit. Inspired by the potential landscape discussion, an intuitive physical picture for…

High Energy Physics - Theory · Physics 2020-09-21 Xin Li , Zhang-Yu Nie , Yu Tian

We discovered an oscillatory instability in a system of inelastically colliding hard spheres, driven by two opposite "thermal" walls at zero gravity. The instability, predicted by a linear stability analysis of the equations of granular…

Soft Condensed Matter · Physics 2009-11-10 Evgeniy Khain , Baruch Meerson

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

Consider at a finite temperature $T$ a superfluid moving with a velocity $v$ relative to the thermal bath or its normal component. From Landau's argument there exists a critical $v_c (T)$ beyond which excitations can be spontaneously…

High Energy Physics - Theory · Physics 2025-07-17 Shanquan Lan , Hong Liu , Yu Tian , Hongbao Zhang

We use holography to study the dynamics of a strongly-coupled gauge theory in four-dimensional de Sitter space with Hubble rate $H$. The gauge theory is non-conformal with a characteristic mass scale $M$. We solve Einstein's equations…

High Energy Physics - Theory · Physics 2021-04-07 Jorge Casalderrey-Solana , Christian Ecker , David Mateos , Wilke van der Schee

Holographic screens are the generalization of the event horizon of a black hole in entropic force scheme, which are defined by setting Newton potential $\phi$ constant, \textit{i. e.} $e^{2\phi}=c=$const. By demonstrating that the…

High Energy Physics - Theory · Physics 2012-06-26 Wei-Jian Jiang , Yi-Xin Chen , Jian-Long Li