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At low temperatures, some lattice spin models with simple ferromagnetic or antiferromagnetic interactions (for example nearest-neighbour interaction being isotropic in spin space on a bipartite three-dimensional lattice) produce…

Statistical Mechanics · Physics 2014-09-16 H. Chamati , S. Romano

We perform dynamical simulations of a two-dimensional active nematic fluid in coexistence with an isotropic fluid. Drops of active nematic become elongated, and an effective anchoring develops at the nematic-isotropic interface. The…

Soft Condensed Matter · Physics 2014-12-17 Matthew L. Blow , Sumesh P. Thampi , Julia M. Yeomans

Motivated by the observation of highly unstable flowing states in suspensions of microtubules and kinesin, we analyze a model of mutually-propelled filaments suspended in a solvent. The system undergoes a mean-field isotropic-nematic…

Soft Condensed Matter · Physics 2015-05-30 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

We consider the weakly first order phase transition between the isotropic and ordered phases of nematics in terms of the behavior of topological line defects. Analytical and Monte Carlo results are presented for a new coarse-grained lattice…

Condensed Matter · Physics 2009-10-28 Paul E. Lammert , Daniel S. Rokhsar , John Toner

We examine the dynamics of a compressible active nematic liquid crystal on a frictional substrate. When frictional damping dominates over viscous dissipation, we eliminate flow in favor of active stresses to obtain a minimal dynamical model…

Soft Condensed Matter · Physics 2016-11-07 Pragya Srivastava , Prashant Mishra , M. Cristina Marchetti

So-called polar liquid crystals possess spontaneous long-range mutual orientation of their electric dipole moments, conferring bulk polarity to fluid phases of matter. The combination of polarity and fluidity leads to complex phase…

Soft Condensed Matter · Physics 2025-08-22 Jordan Hobbs , Calum J. Gibb , Richard J. Mandle

We study stability and distortions of liquid crystal nematic order in a cell with a random heterogeneous substrate. Modeling this system as a bulk xy model with quenched disorder confined to a surface, we find that nematic order is…

Soft Condensed Matter · Physics 2010-05-05 Quan Zhang , Leo Radzihovsky

We consider a two-dimensional athermal binary mixture of Lennard-Jones particles with persistent random active forces. The liquid phase of this system for active forces exceeding a threshold value exhibits self-organization with long-range…

Soft Condensed Matter · Physics 2025-12-24 Atharva Shukla , Chandan Dasgupta

The common description of the electrical behavior of a nematic liquid crystal as an anisotropic dielectric medium with (weak) ohmic conductivity is extended to an electrodiffusion model with two active ionic species. Under appropriate, but…

patt-sol · Physics 2008-02-03 Martin Treiber , Lorenz Kramer

Understanding and controlling the director field configuration, shape, and orientation in nematic and cholesteric liquid crystals is of fundamental importance in several branches of science. Liquid crystalline droplets, also known as…

Soft Condensed Matter · Physics 2020-12-29 Hamed Almohammadi , Massimo Bagnani , Raffaele Mezzenga

We consider the effects of polydispersity on isotropic-nematic phase equilibria in thermotropic liquid crystals, using a Maier-Saupe theory with factorized interactions. A sufficient spread (approx. 50%) in the interaction strengths of the…

Soft Condensed Matter · Physics 2013-09-03 Peter Sollich

We extend the continuum theories of active nematohydrodynamics to model a two-fluid mixture with separate velocity fields for each fluid component, coupled through a viscous drag. The model is used to study an active nematic fluid, mixed…

Soft Condensed Matter · Physics 2023-08-02 Saraswat Bhattacharyya , Julia M. Yeomans

Motivated by the experimentally observed shear-induced destabilization and reorientation of smectic A like systems, we consider an extended formulation of smectic A hydrodynamics. We include both, the smectic layering (via the layer…

Soft Condensed Matter · Physics 2009-11-07 Guenter K. Auernhammer , Helmut R. Brand , Harald Pleiner

The phase-ordering kinetics of a bulk uniaxial nematic liquid crystal is addressed using techniques that have been successfully applied to describe ordering in the O(n) model. The method involves constructing an appropriate mapping between…

Condensed Matter · Physics 2009-10-30 Robert A. Wickham

The conditions under which stable evolution of two nonlinear interacting waves are derived within the context of nematic crystals. Two cases are considered: plane waves and solitons. In the first case, the modulation instability analysis…

Pattern Formation and Solitons · Physics 2016-10-12 Theodoros P. Horikis

Active (i.e., self-propelled or swimming) particles moving through an isotropic fluid exhibit conventional diffusive behavior. We report anomalous diffusion of an active particle moving in an anisotropic, nematic background. Whilst the…

Soft Condensed Matter · Physics 2016-06-22 John Toner , Hartmut Löwen , Henricus H. Wensink

We formulate the hydrodynamics of active columnar phases, with two-dimensional translational order in the plane perpendicular to the columns and no elastic restoring force for relative sliding of the columns, using the general formalism of…

Soft Condensed Matter · Physics 2023-06-14 S. J. Kole , Gareth P. Alexander , Ananyo Maitra , Sriram Ramaswamy

We consider a microscopic field theoretical approach for interacting active nematic particles. With only steric interactions the self-propulsion strength in such systems can lead to different collective behaviour, e.g., synchronized…

Soft Condensed Matter · Physics 2021-02-04 Veit Krause , Axel Voigt

We propose a simple deterministic dynamic equation and reveal the mechanism of large-scale endless evolvement of spatial density inhomogeneity in active nematic. We determine the phase regions analytically. The interplay of density,…

Statistical Mechanics · Physics 2010-11-25 Xia-qing Shi , Yu-qiang Ma

We examine dense self-gravitating stellar systems dominated by a central potential, such as nuclear star clusters hosting a central supermassive black hole. Different dynamical properties of these systems evolve on vastly different…

Astrophysics of Galaxies · Physics 2017-06-20 Zacharias Roupas , Bence Kocsis , Scott Tremaine
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