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We numerically analyse the rotation of a neutrally buoyant spheroid in a shear flow at small shear Reynolds number. Using direct numerical stability analysis of the coupled nonlinear particle-flow problem we compute the linear stability of…

Fluid Dynamics · Physics 2015-12-30 T. Rosen , J. Einarsson , A. Nordmark , C. K. Aidun , F. Lundell , B. Mehlig

Spatial correlations of microscopic fluctuations are investigated via real-space experiments and computer simulations of colloidal glasses under steady shear. It is shown that while the distribution of one-particle fluctuations is always…

Soft Condensed Matter · Physics 2015-06-05 V. Chikkadi , S. Mandal , B. Nienhuis , D. Raabe , F. Varnik , P. Schall

Recent computational studies have reported evidence of a metastable liquid-liquid phase transition (LLPT) in molecular models of water under deeply supercooled conditions. A competing hypothesis suggests, however, that non-equilibrium…

Statistical Mechanics · Physics 2016-12-21 Jeremy C. Palmer , Rakesh S. Singh , Renjie Chen , Fausto Martelli , Pablo G. Debenedetti

New Strichartz estimates for the modulated cubic nonlinear Schr\"{o}dinger equation are proved. These Strichartz estimates allow us to show that this equation is pathwise locally well-posed. We also show that improved Strichartz estimates…

Analysis of PDEs · Mathematics 2025-12-09 Josh Messing

We study the stability of inhomogeneous liquid crystalline states in systems of monodisperse, stiff, charged rods. By means of a bifurcation analysis applied to the Onsager free energy for charged rods in strongly nematic states, we…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink

Phase transitions in disordered systems can be smeared if rare spatial regions develop true static order while the bulk system is in the disordered phase. Here, we study the effects of spatial disorder correlations on such smeared phase…

Strongly Correlated Electrons · Physics 2015-06-12 David Nozadze , Christopher Svoboda , Fawaz Hrahsheh , Thomas Vojta

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus $B$ with…

Soft Condensed Matter · Physics 2022-01-05 E. A. Jagla

The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

Strongly Correlated Electrons · Physics 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

We introduce a new dynamic light scattering method, termed photon correlation imaging, which enables us to resolve the dynamics of soft matter in space and time. We demonstrate photon correlation imaging by investigating the slow dynamics…

Soft Condensed Matter · Physics 2009-03-02 Agnes Duri , David A. Sessoms , Veronique Trappe , Luca Cipelletti

A model of shear thickening in dense suspensions of Brownian soft sphere colloidal particles is established. It suggests that shear thickening in soft sphere suspensions can be interpreted as a shear induced phase transition. Based on a…

Soft Condensed Matter · Physics 2015-01-12 Joachim Kaldasch , Bernhard Senge , Jozua Laven

Molecular dynamics simulation is used to investigate the crystallization of a classical two-dimensional electron system, in which electrons interact with the Coulomb repulsion. From the positional and the orientational correlation…

Condensed Matter · Physics 2009-10-31 Satoru Muto , Hideo Aoki

Theory of dilution effect in orbital ordered system is presented. The $e_g$ orbital model without spin degree of freedom and the spin-orbital coupled model in a three-dimensional simple-cubic lattice are analyzed by the Monte-Carlo…

Strongly Correlated Electrons · Physics 2009-11-13 Takayoshi Tanaka , Sumio Ishihara

The assembly of colloids in nematic liquid crystals via topological defects has been extensively studied for spherical particles, and investigations of other colloid shapes have revealed a wide array of new assembly behaviors. We show,…

Soft Condensed Matter · Physics 2014-12-16 Daniel A. Beller , Mohamed A. Gharbi , Iris B. Liu

Crystals with low latent heat are predicted to melt from an entropically stabilized body-centered cubic symmetry. At this weakly first-order transition, strongly correlated fluctuations are expected to emerge, which could change the nature…

Soft Condensed Matter · Physics 2017-02-28 Joris Sprakel , Alessio Zaccone , Frans Spaepen , Peter Schall , David A. Weitz

The relation between elasticity and yielding is investigated in a model polymer solid by Molecular-Dynamics simulations. By changing the bending stiffness of the chain and the bond length, semicrystalline and disordered glassy polymers -…

Soft Condensed Matter · Physics 2018-11-20 Nicola Calonaci , Andrea Giuntoli , Sebastiano Bernini , Dino Leporini

We introduce optimization-based full-order and reduced-order formulations of fluid structure interaction problems. We study the flow of an incompressible Newtonian fluid which interacts with an elastic body: we consider an arbitrary…

Numerical Analysis · Mathematics 2024-12-30 Tommaso Taddei , Xuejun Xu , Lei Zhang

Using a coarse molecular-dynamics (CMD) approach with an appropriate choice of coarse variable (order parameter), we map the underlying effective free-energy landscape for the melting of a crystalline solid. Implementation of this approach…

Materials Science · Physics 2009-11-11 Miguel A. Amat , Ioannis G. Kevrekidis , Dimitrios Maroudas

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

We extend the notions of multipole and subsystem symmetries to more general {\it spatially modulated} symmetries. We uncover two instances with exponential and (quasi)-periodic modulations, and provide simple microscopic models in one, two…

Statistical Mechanics · Physics 2021-10-19 Pablo Sala , Julius Lehmann , Tibor Rakovszky , Frank Pollmann

Vortex shedding is an important physical phenomenon observed across many spatial and temporal scales in fluids. Previous experimental and theoretical studies have established a hierarchy of local and global reduced-order models for vortex…

Fluid Dynamics · Physics 2024-11-14 Joseph J. Williams , Zachary G. Nicolaou , J. Nathan Kutz , Steven L. Brunton