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The linear and non-linear stability of sheared, relativistic planar jets is studied by means of linear stability analysis and numerical hydrodynamical simulations. Our results extend the previous Kelvin-Hemlholtz stability studies for…

Astrophysics · Physics 2009-11-11 M. Perucho , J. M. Marti , M. Hanasz

The mechanical, thermal and vibrational properties of defective crystals are important in many different contexts, from metallurgy and solid-state physics to, more recently, soft matter and colloidal physics. Here we study two different…

Soft Condensed Matter · Physics 2017-07-25 Johannes Krausser , Rico Milkus , Alessio Zaccone

We use lattice Boltzmann simulations to study the effect of shear on the phase ordering of a two-dimensional binary fluid. The shear is imposed by generalising the lattice Boltzmann algorithm to include Lees-Edwards boundary conditions. We…

Soft Condensed Matter · Physics 2009-10-31 A. J. Wagner , J. M. Yeomans

This paper gives a complete classification of linear repetitivity (LR) for a natural class of aperiodic Euclidean cut and project schemes with convex polytopal windows. Our results cover those cut and project schemes for which the lattice…

Dynamical Systems · Mathematics 2020-12-02 Henna Koivusalo , James J. Walton

This paper is concerned with the dynamics of a binary mixture of rod--like, repulsive colloidal particles driven out of equilibrium by means of a steady shear flow (Couette geometry). To this end we first derive, starting from a microscopic…

Soft Condensed Matter · Physics 2016-05-25 Rodrigo Lugo-Frias , Sabine H. L. Klapp

We study the scaling of two-dimensional crack roughness using large scale beam lattice systems. Our results indicate that the crack roughness obtained using beam lattice systems does not exhibit anomalous scaling in sharp contrast to the…

Statistical Mechanics · Physics 2009-11-13 Phani K. V. V. Nukala , Stefano Zapperi , Mikko Alava , Srdjan Simunovic

Predicting protein secondary structure using lattice model is one of the most studied computational problem in bioinformatics. Here secondary structure or three dimensional structure of protein is predicted from its amino acid sequence.…

Computational Engineering, Finance, and Science · Computer Science 2014-07-18 Dipan Lal Shaw , M. Sohel Rahman , A. S. M. Sohidull Islam , Shuvasish Karmaker

The diffusionless Burgers-Bain phase transition from a hcp arrangement to a cuboidal lattice (fcc and bcc) is analysed in great detail for Lennard-Jones solids. From the lattice vectors of an underlying bi-lattice smoothly connecting these…

Deep networks are typically trained with many more parameters than the size of the training dataset. Recent empirical evidence indicates that the practice of overparameterization not only benefits training large models, but also assists -…

Machine Learning · Computer Science 2020-12-17 Xiangyu Chang , Yingcong Li , Samet Oymak , Christos Thrampoulidis

The cut and project method is a central construction in the theory of Aperiodic Order for generating quasicrystals with pure point diffraction. Linear repetitivity ({\bf LR}) is a form of ideal regularity of aperiodic patterns. Recently,…

Dynamical Systems · Mathematics 2024-03-15 James J. Walton

Two of the most widely used electronic structure theory methods, namely Hartree-Fock and Kohn-Sham density functional theory, both requires the iterative solution of a set of Schr\"odinger-like equations. The speed of convergence of such…

Chemical Physics · Physics 2024-06-06 S. Hazra , U. Patil , S. Sanvito

We explore the possibilities and limitations of using a coherent second phase to engineer the thermo-mechanical properties of a martensitic alloy by modifying the underlying free energy landscape that controls the transformation. We use…

Materials Science · Physics 2020-05-28 Saaketh Desai , Samuel Temple Reeve , Karthik Guda Vishnu , Alejandro Strachan

Cofactor Conditions (CCs) are geometric compatibility conditions mathematically derived from the crystallographic theory of martensitic phase transformation. The CCs guarantee compatible interfaces between the austenite and the parallelled…

Materials Science · Physics 2025-04-01 Hanlin Gu , Fan Feng

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

High Energy Physics - Lattice · Physics 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for shear-dependent steady-state averages, such as correlation and structure…

Soft Condensed Matter · Physics 2009-07-02 Matthias Fuchs , Michael E. Cates

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

I study the average deformation rate of an amorphous material submitted to an external uniform shear strain rate, in the geometry known as the split-bottom configuration. The material is described using a stochastic model of plasticity at a…

Soft Condensed Matter · Physics 2010-08-23 E. A. Jagla

Hydrodynamic equations are used to identify the final state reached by a freely evolving granular gas above but close to its shear instability. The theory predicts the formation of a two bands shear state with a steady density profile.…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero , A. Dominguez

We comment on the reweighting method for the study of finite density lattice QCD. We discuss the applicable parameter range of the reweighting method for models which have more than one simulation parameter. The applicability range is…

High Energy Physics - Lattice · Physics 2009-11-10 Shinji Ejiri

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical…

Soft Condensed Matter · Physics 2007-05-23 M. E. Cates , C. B. Holmes , M. Fuchs , O. Henrich