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Second-order phase transitions are characterized by a divergence of the spatial correlation length of the order parameter fluctuations. For confined systems, this is known to lead to remarkable equilibrium physical phenomena, including…

Statistical Mechanics · Physics 2017-05-15 Christian M. Rohwer , Andrea Gambassi , Matthias Krüger

We introduce and study the flow of metrics on a foliated Riemannian manifold $(M,g)$, whose velocity along the orthogonal distribution is proportional to the mixed scalar curvature, $\Sc_{\,\rm mix}$. The flow is used to examine the…

Differential Geometry · Mathematics 2014-02-11 Vladimir Rovenski , Leonid Zelenko

The phase behavior of binary fluid mixtures of hard hyperspheres in four and five dimensions is investigated. Spinodal instability is found by using a recent and accurate prescription for the equation of state of the mixture that requires…

Statistical Mechanics · Physics 2016-08-15 S. B. Yuste , A. Santos , M. López de Haro

We study the early stages of the shear banding instability in semidilute wormlike micelles using the non-local Johnson-Segalman model with a two-fluid coupling of the concentration (phi) to the shear rate (gamma_dot) and micellar strain…

Soft Condensed Matter · Physics 2007-05-23 Suzanne M. Fielding , Peter D. Olmsted

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest…

Soft Condensed Matter · Physics 2009-11-13 Evgeniy Khain

In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements, rotational dynamics, and deformation (flattening), under the assumption that one body remains…

Earth and Planetary Astrophysics · Physics 2024-02-19 Clodoaldo Ragazzo , Lucas Ruiz dos Santos

We describe experiments that probe the evolution of shear jammed states, occurring for packing fractions $\phi_S \leq \phi \leq \phi_J$, for frictional granular disks, where above $\phi_J$ there are no stress-free static states. We use a…

Soft Condensed Matter · Physics 2015-06-05 Jie Ren , Joshua A. Dijksman , Robert P. Behringer

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

The determination of the shear viscosity is a central topic in various areas of modern physics. In particular, it is often necessary to evaluate the shear viscosity $\eta$ of fluids made up of more than one species, all interacting with…

High Energy Physics - Phenomenology · Physics 2025-12-15 Gabriele Parisi , Vincenzo Nugara , Salvatore Plumari , Vincenzo Greco

Globally conserved phase ordering dynamics is investigated in systems with short range correlations in the initial condition. A Ginzburg-Landau equation with a global conservation law is employed as the phase field model. The conditions are…

Statistical Mechanics · Physics 2009-11-07 Massimo Conti , Baruch Meerson , Avner Peleg , Pavel V. Sasorov

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

Supercooled liquids exhibit complicated dynamical behaviors: At the microscopic level, the dynamics is heterogeneous spatially, known as dynamic heterogeneity. At the macroscopic level, the shear viscosity $\eta$ decreases as shear rate…

Soft Condensed Matter · Physics 2025-09-01 Ke-Qi Zeng , Dong-Xu Yu , Zhe Wang

We study the phase behavior of multicomponent lipid bilayer vesicles that can exhibit intriguing morphological patterns and lateral phase separation. We use a modified Landau-Ginzburg model capable of describing spatially uniform phases,…

Soft Condensed Matter · Physics 2018-06-22 Yongtian Luo , Lutz Maibaum

Strongly confined colloidal dispersions under shear can exhibit a variety of dynamical phenomena, including depinning transitions and complex structural changes. Here, we investigate the behaviour of such systems under pure oscillatory…

Soft Condensed Matter · Physics 2023-01-25 Marcel Hülsberg , Sabine H. L. Klapp

Plastic deformation in solids induced by external shear stress is of huge practical interest. Presence of local crystalline order in polycrystals, consisting of many grains, distinguishes its deformation pattern from that of amorphous…

Soft Condensed Matter · Physics 2013-03-07 Santidan Biswas , Martin Grant , Indradev Samajdar , Arunansu Haldar , Anirban Sain

We study universality in the kinetics of spinodal phase separation in unstable thin liquid films, via simulations of the thin film equation. It is shown that in addition to morphology and free energy,the number density of local maxima in…

Dense stellar clusters are natural sites for the origin and evolution of exotic objects such as relativistic binaries (potential gravitational wave sources), blue stragglers, etc. We investigate the secular dynamics of a binary system…

Solar and Stellar Astrophysics · Physics 2019-08-19 Chris Hamilton , Roman R. Rafikov

The rheological properties for dilute and moderately dense granular binary mixtures of smooth, inelastic hard disks/spheres under uniform shear flow in steady state conditions are reported. The results are based on the Enskog kinetic…

Statistical Mechanics · Physics 2007-05-23 J. M. Montanero , V. Garzo , M. Alam , S. Luding

We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat non-conserved coarsening, we obtain approximate analytic results for the distribution of domain…

Statistical Mechanics · Physics 2009-12-17 Alberto Sicilia , Yoann Sarrazin , Jeferson J. Arenzon , Alan J. Bray , Leticia F. Cugliandolo

Increase in viscosity under increasing shear stress, known as shear thickening (ST), is one of the most striking properties of dense particulate suspensions. Under appropriate conditions, they exhibit discontinuous shear thickening (DST),…

Soft Condensed Matter · Physics 2023-10-06 Sachidananda Barik , Akhil Mohanan , Sayantan Majumdar