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The requirement of diffeomorphism symmetry for the target space can lead to anomalous commutators for the energy-momentum tensor for sigma models and for fluid dynamics, if certain topological terms are added to the action. We analyze…

High Energy Physics - Theory · Physics 2021-05-05 V. P. Nair

We present a framework to take new measurements in nematic systems that contain active elements such as molecular motors. Spatio-temporal fields of stress, traction, velocity, pressure, and forces are estimated jointly from microscopy…

Soft Condensed Matter · Physics 2024-12-02 Aleix Boquet-Pujadas , Jérôme Hardouïn , Junhao Wen , Jordi Ignés-Mullol , Francesc Sagués

For configurational changes of soft matter systems affected or caused by external hydrodynamic flow, we identify applied work, exchanged heat, and entropy change on the level of a single trajectory. These expressions guarantee invariance of…

Soft Condensed Matter · Physics 2009-01-15 Thomas Speck , Jakob Mehl , Udo Seifert

A general thermodynamic treatment of dissipative relativistic fluids is introduced, where the temperature four vector is not parallel to the velocity field of the fluid. Generic stability and kinetic equilibrium points out a particular…

General Relativity and Quantum Cosmology · Physics 2014-05-27 P. Ván , T. S. Biró

We generalize an idea in the works of Landauer and Bennett on computations, and Hill's in chemical kinetics, to emphasize the importance of kinetic cycles in mesoscopic nonequilibrium thermodynamics (NET). For continuous stochastic systems,…

Statistical Mechanics · Physics 2021-03-11 Ying-Jen Yang , Hong Qian

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

The consequences of rotational invariance in a recent theory of fluctuations in dilute polymer nematics are explored. A correct rotationally invariant free energy insures that anomalous couplings are not generated in a one-loop…

Condensed Matter · Physics 2009-10-22 Randall D. Kamien , Pierre Le Doussal , David R. Nelson

The mathematical formulation, basic concept and numerical implementation of a new meshless method for solving three dimensional fluid flow and related heat transfer problems are presented in this paper. Moving least squares approximation is…

Computational Physics · Physics 2018-09-10 Cheng-An Wang , Hamou Sadat , Christian Prax

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

We argue that a Regge-pole modification of the VDM puts on equal footing the asymptotic behaviour of electromagnetic and neutral vector meson currents.

High Energy Physics - Phenomenology · Physics 2013-12-20 V. A. Petrov

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

We consider active nematodynamics on deformable surfaces. Based on a thermodynamically consistent surface Beris-Edwards model we add nematic activity and focus on the emerging additional coupling mechanism between the nematic field, the…

Soft Condensed Matter · Physics 2024-05-24 Ingo Nitschke , Axel Voigt

We study the low-frequency, long-wavelength dynamics of soft and semi-soft nematic elastomers using two different but related dynamic theories. Our first formulation describes the pure hydrodynamic behavior of nematic elastomers in which…

Soft Condensed Matter · Physics 2009-11-10 Olaf Stenull , T. C. Lubensky

We study colloidal particles in a nematic-liquid-crystal-filled microfluidic channel and show how elastic interactions between the particle and the channel wall lead to different particle dynamics compared with conventional microfluidics.…

Soft Condensed Matter · Physics 2017-07-31 Sourav Mondal , Apala Majumdar , Ian M. Griffiths

We investigate a systematic formulation of vector-tensor theories based on the effective field theory (EFT) approach. The input of our EFT is that the spacetime symmetry is spontaneously broken by the existence of a preferred timelike…

High Energy Physics - Theory · Physics 2022-02-02 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi

A nonlinear viscoelastic theory of nematodynamic type is developed for nematic liquid crystalline (LC) semi-flexible polymers. A measure of transient elastic strain due to the change in length of macromolecular strands under stress, and the…

Condensed Matter · Physics 2007-05-23 A. I. Leonov , V. S. Volkov

In order to address the difficulties of classical fluid kinematics in describing vorticity and the paradox of linear correlation between viscous force and vorticity in the Navier-Stokes equations, the study examines the inherent…

Classical Physics · Physics 2024-08-08 Peng Shi

We predict spontaneous nematic order in an ensemble of active force generators with elastic interactions as a minimal model for early nematic alignment of short stress fibers in non-motile, adhered cells. Mean-field theory is formally…

Biological Physics · Physics 2015-05-20 Benjamin M. Friedrich , Samuel A. Safran

Many active systems display nematic order, while interacting with their environment. In this work, we show theoretically how environment-stored memory acts an effective external field that aligns active nematics. The coupling to the…

Soft Condensed Matter · Physics 2024-11-05 Ram M. Adar , Jean-François Joanny

This paper introduces the fundamental continuum theory governing momentum transport in isotropic nanofluidic flows. The theory is an extension to the classical Navier-Stokes equation, which includes coupling between translational and…

Soft Condensed Matter · Physics 2017-01-04 J. S. Hansen , Jeppe C. Dyre , Peter J. Daivis , B. D. Todd , Henrik Bruus