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In order to get insight into the connection between the vibrational dynamics and the atomic level Green-Kubo stress correlation function in liquids we consider this connection in a model crystal instead. Of course, vibrational dynamics in…

Soft Condensed Matter · Physics 2014-06-24 V. A. Levashov

We report on a further investigation of a new method that can be used to address vibrational dynamics and propagation of stress waves in liquids. The method is based on the decomposition of the macroscopic Green-Kubo stress correlation…

Materials Science · Physics 2015-06-22 V. A. Levashov

We studied the connection between the structural relaxation and viscosity for a binary model of repulsive particles in the supercooled liquid regime. The used approach is based on the decomposition of the macroscopic Green-Kubo stress…

Materials Science · Physics 2017-12-06 V. A. Levashov

It is possible to associate with every atom or molecule in a liquid its own atomic stress tensor. These atomic stress tensors can be used to describe liquids' structures and to investigate the connection between structural and dynamic…

Chemical Physics · Physics 2016-03-23 Valentin A. Levashov

By combining confocal microscopy and Stress Assessment from Local Structural Anisotropy (SALSA), we directly measure stresses in 3D quiescent colloidal liquids. Our non-invasive and non-perturbative method allows us to measure forces…

Soft Condensed Matter · Physics 2017-04-28 Neil Y. C. Lin , Matthew Bierbaum , Itai Cohen

We analyze the friction force exerted on a small probe particle sliding over an atomic-scale surface by means of a Green-Kubo relation and classical Molecular Dynamics simulations. We find that, on the atomic scale, the friction tensor can…

Statistical Mechanics · Physics 2020-06-17 Miru Lee , Richard L. C. Vink , Matthias Krüger

In order to understand whether internal stresses in glasses are correlated or randomly distributed, we study the organization of atomic bond tensions (normal forces between pairs of atoms). Measurements of the invariants of the atomic bond…

Condensed Matter · Physics 2009-11-07 T. Kustanovich , Y. Rabin , Z. Olami

Considerations of local atomic level stresses associated with each atom represent a particular approach to address structures of disordered materials at the atomic level. We studied structural correlations in a two-dimensional model liquid…

Soft Condensed Matter · Physics 2016-01-20 V. A. Levashov , M. G. Stepanov

Higher order parameters in the hard disk fluid are computed to investigate the number, the life time and size of transient crystal nuclei in the pre-freezing phase. The methodology introduces further neighbor shells bond orientational order…

Statistical Mechanics · Physics 2012-11-22 Masaharu Isobe , Berni J. Alder

Near equilibrium, Green-Kubo relations provide microscopic expressions for macroscopic transport coefficients in terms of equilibrium correlation functions. At their core, they are based on the intimate relationship between response and…

Statistical Mechanics · Physics 2021-12-16 Hyun-Myung Chun , Qi Gao , Jordan M. Horowitz

We study the rheological signatures of departure from equilibrium in two-dimensional viscous fluids with and without internal spin. Under the assumption of isotropy, we provide the most general linear constitutive relations for stress and…

Statistical Mechanics · Physics 2020-06-24 Jeffrey M. Epstein , Kranthi K. Mandadapu

Starting from the stochastic equation for the density operator, we formulate the exact (instantaneous) stress tensor for interacting Brownian particles, whose average value agrees with expressions derived previously. We analyze the relation…

Soft Condensed Matter · Physics 2018-04-04 M. Krüger , A. Solon , V. Démery , C. M. Rohwer , D. S. Dean

We propose a new test of the critical earthquake model based on the hypothesis that precursory earthquakes are ``actors'' that create fluctuations in the stress field which exhibit an increasing correlation length as the critical large…

Statistical Mechanics · Physics 2007-05-23 G. Ouillon , D. Sornette

Molecular dynamic simulation enables one to correlate the evolution of the micro-structure with anisotropic stress when a material is subject to strain. The anisotropic stress due to a constant strain-rate load in a cross-linked polymer is…

Soft Condensed Matter · Physics 2011-05-05 Prashant Kumar Srivastava , Kartik Venkatraman

The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just for dimensional reasons. Consequently, this theory requires…

Computational Physics · Physics 2020-02-19 Geralf Hütter , Karam Sab , Samuel Forest

We present a theoretical method for deriving the stress tensor and elastic response of ordered systems within a Ginzburg-Landau type density field theory in the linear regime. This is based on spatially coarse graining the microscopic…

Materials Science · Physics 2021-07-07 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta

We study the stress profile of an ordered two-dimensional packing of beads in response to the application of a vertical overload localized at its top surface. Disorder is introduced through the Coulombic friction between the grains which…

Condensed Matter · Physics 2009-11-07 Laurent Breton , Philippe Claudin , Éric Clément , Jean-Daniel Zucker

Second-order phase transitions are characterized by a divergence of the spatial correlation length of the order parameter fluctuations. For confined systems, this is known to lead to remarkable equilibrium physical phenomena, including…

Statistical Mechanics · Physics 2017-05-15 Christian M. Rohwer , Andrea Gambassi , Matthias Krüger

The shear viscosity $\eta$ has been calculated by using the Green-Kubo relation in the framework of a partonic transport approach solved at cascade level. We compare the numerical results for $\eta$ obtained from the Green-Kubo correlator…

Nuclear Theory · Physics 2015-09-01 S. Plumari , A. Puglisi , F. Scardina , V. Greco

Many recent papers have questioned Irving and Kirkwood's atomistic expression for stress. In Irving and Kirkwood's approach both interatomic forces and atomic velocities contribute to stress. It is the velocity-dependent part that has been…

Chaotic Dynamics · Physics 2009-11-13 Wm. G. Hoover , Carol G. Hoover , James F. Lutsko
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