scholarly journals Similarity of internal and external friction: Soft matter frictional instabilities obey mean field dissipation through slip avalanches

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
S. Zheng ◽  
J. M. Urueña ◽  
A. C. Dunn ◽  
J. T. Uhl ◽  
K. A. Dahmen
Keyword(s):  
Soft Matter ◽  
Mean Field ◽  
External Friction

scholarly journals Describing nonequilibrium soft matter with mean field game theory

2019 ◽  
Vol 150 (17) ◽  
pp. 174905 ◽  
Author(s):  
P. M. Welch ◽  
K. Ø. Rasmussen ◽  
C. F. Welch
Keyword(s):  
Game Theory ◽  
Soft Matter ◽  
Mean Field ◽  
Mean Field Game

scholarly journals Mean-field model of melting in superheated crystals based on a single experimentally measurable order parameter

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nikita P. Kryuchkov ◽  
Nikita A. Dmitryuk ◽  
Wei Li ◽  
Pavel V. Ovcharov ◽  
Yilong Han ◽  
...  
Keyword(s):  
Order Parameter ◽  
Soft Matter ◽  
Materials Science ◽  
Mean Field ◽  
Mean Square Displacement ◽  
Nucleation Theory ◽  
Local Order ◽  
Mean Field Model ◽  
Melting Front ◽  
System Evolution

AbstractMelting is one of the most studied phase transitions important for atomic, molecular, colloidal, and protein systems. However, there is currently no microscopic experimentally accessible criteria that can be used to reliably track a system evolution across the transition, while providing insights into melting nucleation and melting front evolution. To address this, we developed a theoretical mean-field framework with the normalised mean-square displacement between particles in neighbouring Voronoi cells serving as the local order parameter, measurable experimentally. We tested the framework in a number of colloidal and in silico particle-resolved experiments against systems with significantly different (Brownian and Newtonian) dynamic regimes and found that it provides excellent description of system evolution across melting point. This new approach suggests a broad scope for application in diverse areas of science from materials through to biology and beyond. Consequently, the results of this work provide a new guidance for nucleation theory of melting and are of broad interest in condensed matter, chemical physics, physical chemistry, materials science, and soft matter.

scholarly journals Controlled Self-Assembly of Soft-Matter Quasicrystals

2014 ◽  
Vol 70 (a1) ◽  
pp. C889-C889 ◽  
Author(s):  
Kobi Barkan ◽  
Michael Engel ◽  
Haim Diamant ◽  
Ron Lifshitz
Keyword(s):  
Self Assembly ◽  
Soft Matter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Building Blocks ◽  
Two Dimensions ◽  
Pair Potentials ◽  
The Stability ◽  
Dynamics Simulations ◽  
Three Body

A large number of soft-matter systems, whose building blocks range in size from several nanometers to almost a micron, have been shown in recent years to form ordered phases with dodecagonal (12-fold) symmetry (for recent reviews see [1]). Contrary to metallurgic quasicrystals, whose source of stability remains a question of great debate to this day, we show that the stability of certain soft-matter quasicrystals–interacting via pair potentials with repulsive cores, which are either bounded or only slowly diverging–can directly be explained. Their stability is attributed to the existence of two natural length scales in their isotropic pair potentials, along with an effective three-body interaction arising from entropy. We establish the validity of this mechanism at the level of a mean-field theory [2], and then use molecular dynamics simulations in two dimensions to confirm it beyond mean field, and to show that it leads to the formation of cluster crystals [3]. We demonstrate that our understanding of the stability mechanism allows us to generate a variety of desired structures, including decagonal and dodecagonal quasicrystals [3], suggesting a practical approach for their controlled self-assembly in laboratory realizations using synthesized soft-matter particles.

Allosteric regulation of GPCR Rhodopsin by soft matter

2020 ◽  
Author(s):  
Nipuna Weerasinghe ◽  
Steven Fried ◽  
Anna Eitel ◽  
Andrey Struts ◽  
Suchithranga Perera ◽  
...  
Keyword(s):  
Soft Matter ◽  
Allosteric Regulation

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

A mean field interpretation of critical fields in anisotropic superconductors

1985 ◽  
Vol 46 (5) ◽  
pp. 855-858 ◽  
Author(s):  
T. Jarlborg ◽  
M. Peter
Keyword(s):  
Mean Field ◽  
Critical Fields ◽  
Anisotropic Superconductors

Mean Field Theory of enhanced defect formation in AgCl and AgBr

1980 ◽  
Vol 41 (C6) ◽  
pp. C6-97-C6-100 ◽  
Author(s):  
R. J. Friauf
Keyword(s):  
Field Theory ◽  
Defect Formation ◽  
Mean Field Theory ◽  
Mean Field
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