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Here, we investigate the linear spatial stability of a parallel two-dimensional compressible boundary layer on an adiabatic plate by considering 2D and 3D disturbances. We employ the Compound Matrix Method for the first time for…

Fluid Dynamics · Physics 2024-01-31 Neha Chaturvedi , Swagata Bhaumik , Rituparn Somvanshi

We study metastability for Glauber spin-flip dynamics on the $N$-dimensional hierarchical lattice with $n$ hierarchical levels. Each vertex carries an Ising spin that can take the values $-1$ or $+1$. Spins interact with an external…

Probability · Mathematics 2017-08-02 Frank den Hollander , Oliver Jovanovski

We study the structure of an interface in a three dimensional Ising system created by an external non-uniform field $H({\bf r},t)$. $H$ changes sign over a two dimensional plane of arbitrary orientation. When the field is pulled with…

Statistical Mechanics · Physics 2009-11-13 Manish K. Sahai , Surajit Sengupta

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

Statistical Mechanics · Physics 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

Optimization and Control · Mathematics 2023-08-01 Sebastien Court

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

Soft Condensed Matter · Physics 2014-08-07 Francesco Turci , Tanja Schilling

We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson…

Information Theory · Computer Science 2020-10-15 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

The sticking of a soft polystyrene colloidal particle to a planar glass plate was studied by a microrheological technique using an optical tweezer to trap the particle and a piezoelectric-stage to position the plate and to sinusoidally…

Soft Condensed Matter · Physics 2009-08-27 Prerna Sharma , Shankar Ghosh , S. Bhattacharya

Transition waves in mechanical metamaterials manifest themselves as propagating interfaces between different stable states in lattices composed of arrays of coupled, intrinsically bistable elements. Here, we show experimentally and…

Applied Physics · Physics 2026-03-11 Eleonore Duval , Giada Risso , Alex Zhang , Vincent Tournat , Katia Bertoldi

The structure of liquid water in the proximity of an interface can deviate significantly from that of bulk water, with surface-induced structural perturbations typically converging to bulk values at about ~1 nm from the interface. While…

Soft Condensed Matter · Physics 2022-03-01 Piero Gasparotto , Martin Fitzner , Stephen J. Cox , Gabriele Cesare Sosso , Angelos Michaelides

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan

We demonstrate experimentally dynamic interface binding in a system consisting of two coupled ferromagnetic layers. While domain walls in each layer have different velocity-field responses, for two broad ranges of the driving field, H,…

Materials Science · Physics 2010-06-15 P. J. Metaxas , R. L. Stamps , J. P. Jamet , J. Ferré , V. Baltz , B. Rodmacq , P. Politi

We predict the conditions under which two oppositely charged membranes show a dynamic, attractive instability. Two layers with unequal charges of opposite sign can repel or be stable when in close proximity. However, dynamic charge density…

Soft Condensed Matter · Physics 2009-11-10 Guy Hed , S. A. Safran

Mechanical metamaterials made of flexible building blocks can exhibit a plethora of extreme mechanical responses, such as negative elastic constants, shape-changes, programmability and memory. To date, dissipation has largely remained…

Soft Condensed Matter · Physics 2024-06-12 David M. J. Dykstra , Shahram Janbaz , Corentin Coulais

We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We consider large but finite volume, small fixed magnetic field…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Enzo Olivieri

The interface separating a liquid from its vapor phase is diffuse: the composition varies continuously from one phase to the other over a finite length. Recent experiments on dynamic jamming fronts in two dimensions [Waitukaitis et al.,…

Soft Condensed Matter · Physics 2025-11-18 Jikai Wang , J. M. Schwarz , Joseph D. Paulsen

Elastic interaction of pressurized spherical cavities embedded in a three-dimensional hyperelastic medium is computationally analyzed. Using finite element analysis across several positive and negative pressure scenarios, we calculate the…

Soft Condensed Matter · Physics 2025-08-08 Ali Saeedi , Mrityunjay Kothari

We study dynamics of a phase boundary in a one-dimensional lattice gas, which is initially put into a non-equilibrium configuration and then is let to evolve in time by particles performing nearest-neighbor random walks constrained by…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , J. De Coninck , M. Moreau , S. F. Burlatsky

Elastic interfaces display scale-invariant geometrical fluctuations at sufficiently large lengthscales. Their asymptotic static roughness then follows a power-law behavior, whose associated exponent provides a robust signature of the…

Disordered Systems and Neural Networks · Physics 2022-05-30 Nirvana Caballero , Thierry Giamarchi , Vivien Lecomte , Elisabeth Agoritsas

Cross-stream migration of a deformable bubble is investigated computationally in a pressure-driven channel flow of a viscoelastic fluid via interface-resolved simulations. The flow equations are solved fully coupled with the Giesekus model…

Fluid Dynamics · Physics 2025-03-07 Hafiz Usman Naseer , Daulet Izbassarov , Zaheer Ahmed , Metin Muradoglu