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Related papers: Odd Viscosity and Odd Elasticity

200 papers

It is suggested that the $\omega^{-1/2}$ high-frequency decay of the alpha loss in highly viscous liquids, which appears to be generic, is a manifestation of a negative long-time tail as typically encountered in stochastic dynamics. The…

Soft Condensed Matter · Physics 2007-05-23 Jeppe C. Dyre

Discrete nonlinear systems support a rich variety of localized and extended wave phenomena, with their dynamics sensitively dependent on the symmetries of the underlying interaction forces within the lattice. Odd elasticity, emerging in…

Pattern Formation and Solitons · Physics 2026-05-20 Andrus Giraldo , Stefan Ruschel , Behrooz Yousefzadeh

We consider free surface dynamics of a two-dimensional incompressible fluid with odd viscosity. The odd viscosity is a peculiar part of the viscosity tensor which does not result in dissipation and is allowed when parity symmetry is broken.…

Fluid Dynamics · Physics 2018-08-01 Alexander G. Abanov , Tankut Can , Sriram Ganeshan

Rigidity is an emergent property of materials - it is not a feature of individual components that comprise the structure, but instead arises from interactions between many constituent parts. Recently, it has been recognized that…

Soft Condensed Matter · Physics 2025-08-27 Kelly Aspinwall , Tyler Hain , M. Lisa Manning

A system comprised of an elastic solid and its response to an external random force sequence is shown to behave based on the principles of the theory of algorithmic complexity and randomness. The solid distorts the randomness of an input…

Computational Complexity · Computer Science 2008-11-06 J. Ratsaby , J. Chaskalovic

We compare rigidity of materials in two phases, liquid and solid phases. As a measure of the rigidity, we employ the one characterizing how firmly the material is fixed by low density of pinning centers, such as impurities and rough…

Statistical Mechanics · Physics 2015-12-03 Naoki Hasegawa , Tatsuro Yuge , Akira Shimizu

Turbulent flow restricted to two dimensions can spontaneously develop order on large scales, defying entropy expectations and in sharp contrast with turbulence in three dimensions where nonlinear turbulent processes act to destroy…

Other Condensed Matter · Physics 2020-07-15 E. Varga , V. Vadakkumbatt , A. J. Shook , P. H. Kim , J. P. Davis

Water is the most important liquid in the Universe. At the same time it is the most anomalous liquid. It demonstrates several dozens of anomalies, among which are density anomaly, diffusion anomaly etc. Anomalous behavior of water is a…

Soft Condensed Matter · Physics 2017-06-12 Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov , V. V. Brazhkin

Water is a complex structured liquid of hydrogen-bonded molecules that displays a surprising array of unusual properties, also known as water anomalies, the most famous being the density maximum at about $4^\circ$C. The origin of these…

Soft Condensed Matter · Physics 2015-06-16 John Russo , Hajime Tanaka

The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previous works, we consider here the full odd viscosity tensor.…

Analysis of PDEs · Mathematics 2024-01-31 Francesco Fanelli , Alexis F. Vasseur

A formulation of Continuum Mechanics within the context of General Relativity is presented that allows for the incorporation of certain types of anelastic material behaviour, such as viscoelasticity and plasticity. The approach is based on…

General Relativity and Quantum Cosmology · Physics 2010-11-05 M. Epstein , D. A. Burton , R. W. Tucker

Vibrational energy flows unevenly in molecules, repeatedly going back and forth between trapping and roaming. We identify bottlenecks between diffusive and chaotic behavior, and describe generic mechanisms of these transitions, taking the…

Chaotic Dynamics · Physics 2009-05-01 R. Paškauskas , C. Chandre , T. Uzer

Some fluids are known to behave anomalously. The so-called structural anomaly which means that the fluid becomes less structures under isothermal compression is among the most frequently discussed ones. Several methods for quantifying the…

Soft Condensed Matter · Physics 2015-06-19 Yu. D. Fomin , B. A. Klumov , V. N. Ryzhov , E. N. Tsiok

The adhesion of two-dimensional (2D) materials to other surfaces is so far believed to be a solid-solid mechanical contact. Here, we conduct both atomistic simulations and theoretical modeling to show that there exists a reversible…

Materials Science · Physics 2015-12-08 Zhengrong Guo , Tienchong Chang , Xingming Guo , Huajian Gao

Viewed as one of the grandest questions in modern science, understanding fundamental physical constants has been discussed in high-energy particle physics, astronomy and cosmology. Here, I review how condensed matter and liquid physics…

Biological Physics · Physics 2023-10-11 K Trachenko

Amorphous solids are mechanically rigid while possessing a disordered structure similar to that of dense liquids. Recent research indicates that dynamical heterogeneity, spatio-temporal fluctuations in local dynamical behavior, might help…

Statistical Mechanics · Physics 2011-06-10 Ludovic Berthier

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous…

Analysis of PDEs · Mathematics 2008-02-03 Michael G. Crandall , Hitoshi Ishii , Pierre-Louis Lions

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

The laws expressing conservation of momentum and energy apply to any isolated system, but these laws are violated for for highly viscous liquids under laboratory conditions because of the unavoidable interactions with the measuring…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

We study the role of viscosity and the effects of a magnetic field on a rotating, self-gravitating fluid, using Newtonian theory and adopting the ideal magnetohydrodynamic approximation. Our results confirm that viscosity can generate…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 F. Dosopoulou , F. Del Sordo , C. G. Tsagas , A. Brandenburg