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We extend the dynamic van der Waals model introduced by A. Onuki [Phys. Rev. Lett. 94, 054501 (2005)] to the description of cohesive granular flows under a plane shear to study their hydrodynamic instabilities. Numerically solving the…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Satoshi Takada , Hisao Hayakawa

The flow of amorphous solids results from a combination of elastic deformation and local structural rearrangements, which induce non-local elastic deformations. These elements are incorporated into a mechanically-consistent mesoscopic model…

Soft Condensed Matter · Physics 2015-06-12 Alexandre Nicolas , Jean-Louis Barrat

We present experimental evidence of global viscoelastic flow transitions in 2:1, 8:1 and 32:1 planar contractions under inertia-less conditions. Light sheet visualization and laser Doppler velocimetry techniques are used to probe spatial…

Soft Condensed Matter · Physics 2011-02-10 Lars Geneiser , Arvind Gopinath , Robert Armstrong , Robert Brown

Viscoelastic flows transition from steady to time-dependent, chaotic dynamics under critical flow conditions, but the implications of geometric disorder for flow stability in these systems are unknown. Utilizing microfluidics, we flow a…

Fluid Dynamics · Physics 2020-04-29 Derek M. Walkama , Nicolas Waisbord , Jeffrey S. Guasto

We study a mesoscopic elasto-plastic model of amorphous matter with varying dimensionless compression modulus, $K/\mu$, where $K$ and $\mu$ are the compression and shear moduli. We study both cyclic shear with amplitude $\Gamma$ and forward…

Soft Condensed Matter · Physics 2026-03-25 A. Elgailani , D. Vandembroucq , C. E. Maloney

Suspensions, which exhibit complex behaviors such as shear thickening, thinning, and jamming, are prevalent in nature and industry. However, predicting the mechanical properties of concentrated suspensions, in both steady state and the…

Soft Condensed Matter · Physics 2025-06-06 Pappu Acharya , Romain Mari

We review the dynamical behavior of giant fluid vesicles in various types of external hydrodynamic flow. The interplay between stresses arising from membrane elasticity, hydrodynamic flows, and the ever present thermal fluctuations leads to…

Soft Condensed Matter · Physics 2014-05-12 David Abreu , Michael Levant , Victor Steinberg , Udo Seifert

We study a complex Ginzburg-Landau (GL) type model related to fluid instabilities in the boundary of magnetized toroidal plasmas (called edge-localized modes) with a prescribed shear flow on the Neumann boundary condition. We obtain the…

Plasma Physics · Physics 2017-06-27 Youngmin Oh , Gunsu S. Yun , Hyung Ju Hwang

We develop a multiscale approach to describe the behavior of a suspension of solid magnetizable particles in a viscous non-conducting fluid in the presence of an externally applied magnetic field. By upscaling the quasi-static Maxwell…

Analysis of PDEs · Mathematics 2020-12-02 Grigor Nika , Bogdan Vernescu

We study the dynamics of the Taylor-Couette flow of shear banding wormlike micelles. We focus on the high shear rate branch of the flow curve and show that for sufficiently high Weissenberg numbers, this branch becomes unstable. This…

Soft Condensed Matter · Physics 2015-05-18 M. A. Fardin , D. Lopez , J. Croso , G. Grégoire , O. Cardoso , G. H. McKinley , S. Lerouge

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

Soft Condensed Matter · Physics 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

We show that the space charge dynamics of high intensity beams in the plane perpendicular to the magnetic field in cyclotrons is described by the two-dimensional Euler equations for an incompressible fluid. This analogy with fluid dynamics…

Accelerator Physics · Physics 2016-05-25 Antoine J. Cerfon

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

Inhomogeneous flows and shear banding are of interest for a range of applications but have been eluding a comprehensive theoretical understanding, mostly due to the lack of a framework comparable to equilibrium statistical mechanics. Here…

Statistical Mechanics · Physics 2025-05-15 Thomas Speck

We use the Metropolis algorithm to study the stability of superfluid flow in a model system, namely the two-dimensional planar XY model. Flow properties are examined by studying the behaviour of the system in meta-stable ``twisted'' states.…

Statistical Mechanics · Physics 2009-11-10 G. G. Batrouni

Understanding the flow behaviors of supercooled liquids presents a major challenge in liquid-state physics due to the strong nonlinearity and rich phenomena. To unravel this complexity, we introduce the concept of local configurational…

Soft Condensed Matter · Physics 2025-11-25 Dong-Xu Yu , Ke-Qi Zeng , Zhe Wang

Using complementary numerical approaches at high resolution, we study the late-time behaviour of an inviscid, incompressible two-dimensional flow on the surface of a sphere. Starting from a random initial vorticity field comprised of a…

Fluid Dynamics · Physics 2015-12-08 David G. Dritschel , Wanming Qi , J. B. Marston

In this paper we consider a fluid dynamic model which describes the atmospheric flow and we perform an asymptotic analysis for different time and length scales. In particular we will focus on the two following cases: when the Mach number…

Analysis of PDEs · Mathematics 2018-11-27 Donatella Donatelli

We study the stationary and transient behaviors of the microemulsion phase subjected to a shear flow. The system is described by a diffusion-convective equation which generalizes the usual Cahn-Hilliard equation. Non-linear terms are…

Soft Condensed Matter · Physics 2009-11-07 Giuseppe Gonnella , Marco Ruggieri

We consider the yielding behavior of amorphous solids under cyclic shear deformation and show that it can be mapped into a random walk in a confining potential with an absorbing boundary. The resulting dynamics is governed by the first…

Soft Condensed Matter · Physics 2021-12-14 Muhittin Mungan , Srikanth Sastry