scholarly journals Force transmission and the order parameter of shear thickening

Soft Matter ◽  
2019 ◽  
Vol 15 (33) ◽  
pp. 6650-6659 ◽  
Author(s):  
Romain Mari ◽  
Ryohei Seto

Statistical models of force propagation can predict the equation of state of the shear thickening transition of dense suspensions, based on the suspended particle properties. This lays the foundations for a statistical physics of shear thickening.

2021 ◽  
Vol 923 ◽  
Author(s):  
Marc-Andre Brassard ◽  
Neil Causley ◽  
Nasser Krizou ◽  
Joshua A. Dijksman ◽  
Abram. H. Clark

Abstract


2015 ◽  
Vol 245 ◽  
pp. 23-27 ◽  
Author(s):  
Yuriy Shevchenko ◽  
Vitalii Kapitan ◽  
Konstantin V. Nefedev

In the model of finite number (up to 24) of point Ising-like magnetic dipoles with magnetostatic interaction on square 2D lattice within the framework of statistical physics, with using Gibbs formalism and by the means of Metropolis algorithm the heating dependence of temperature has been evaluated. The temperature dependence of the heat capacity on finite number of point dipoles has the finite value of maximum. Together with increase of the system in size the heating peak grows and moves to the area with higher temperature. The obtained results are useful in experimental verification of statistical models, as well as in development and testing of approximate calculation methods of systems with great number of particles.


2020 ◽  
Vol 124 (24) ◽  
Author(s):  
Abhinendra Singh ◽  
Christopher Ness ◽  
Ryohei Seto ◽  
Juan J. de Pablo ◽  
Heinrich M. Jaeger

Soft Matter ◽  
2019 ◽  
Vol 15 (18) ◽  
pp. 3649-3654 ◽  
Author(s):  
Nicole M. James ◽  
Huayue Xue ◽  
Medha Goyal ◽  
Heinrich M. Jaeger

Dense suspensions of particles in a liquid exhibit rich, non-Newtonian behaviors such as shear thickening (ST) and shear jamming (SJ).


2013 ◽  
Vol 907 ◽  
pp. 13-54 ◽  
Author(s):  
N. Buyukcizmeci ◽  
A.S. Botvina ◽  
I.N. Mishustin ◽  
R. Ogul ◽  
M. Hempel ◽  
...  

2015 ◽  
Vol 4 (1) ◽  
pp. 1-27
Author(s):  
L´eon Brenig

This essay corresponds to the content of three lectures about statistical physics delivered to the audience of the 2014 section of the R. A. Salmeron School of Physics, at the UnB. Our starting point was very simple statistical models (lattice gas, spin-1/2 ferromagnet), used as illustrations of the competencies and methods in statistical physics. Thus we introduce the Gibbs ensembles, defining a connection with thermodynamics and discussing the role played by fluctuations and large numbers. We present phenomenological aspects of phase transitions and critical phenomena in simple fluids and in uniaxial ferromagnets, emphasizing the universal character of the critical exponents. We describe the phenomenological van der Waals and Curie-Weiss theories and the Landau expansion, which are present-day relevant methods, despite the fact that such theories give rise to critical exponents in disagreement with experiments. We present then the paradigmatic Ising model, which points us to a way to overcome the phenomenological results. A brief presentation of the scale phenomenological methods and the contemporaneous renormalization group are considered at the end of these lectures.


2020 ◽  
pp. 518-542
Author(s):  
Giuseppe Mussardo

Chapter 14 discusses how the identification of a class of universality is one of the central questions needing an answer for those in the field of statistical physics. This chapter discusses in detail the class of universality of several models, and provides examples that include the Ising model, the tricritical Ising model and its structure constants, the Yang–Lee model and the 3-state Potts model. This chapter also covers the study of the statistical models of geometric type (as, for instance, those that describe the self-avoiding walks) and their formulation in terms of conformal minimal models, including conformal models with O(n) symmetry.


2020 ◽  
Author(s):  
Panayiotis A. Varotsos ◽  
Nicholas V. Sarlis ◽  
Efthimios S. Skordas ◽  
Stavros-Richard G. Christopoulos

<p>An order parameter for seismicity was introduced in the frame of natural time analysis [1].  Recent studies of the fluctuations of this order parameter revealed the existence of minima preceding major earthquakes [2-7]. Here, we review the statistical significance of these minima by using recent methods of Statistical Physics, such as receiver operating characteristics [8] and event coincidence analysis [9,10]. These methods are also applied to the investigation [11] of the statistical significance of Seismic Electric Signals [12].</p><p>References</p><ol><li>Varotsos, P.A.; Sarlis, N.V.; Skordas, E.S. Natural Time Analysis: The new view of time. Precursory Seismic Electric Signals, Earthquakes and other Complex Time-Series; Springer-Verlag: Berlin Heidelberg, 2011.</li> <li>Sarlis, N.V.; Skordas, E.S.; Varotsos, P.A.; Nagao, T.; Kamogawa, M.; Tanaka, H.; Uyeda, S. Minimum of the order parameter fluctuations of seismicity before major earthquakes in Japan, Proc. Natl. Acad. Sci. USA 110 (2013) 13734–13738, dx.doi.org/10.1073/pnas.1312740110.</li> <li>Varotsos, P.A.; Sarlis, N.V.; Skordas, E.S. Study of the temporal correlations in the magnitude time series before major earthquakes in Japan. J. Geophys. Res.: Space Physics 119 (2014) 9192–9206, dx.doi.org/10.1002/2014JA020580.</li> <li>Sarlis, N.V.; Christopoulos, S.R.G.; Skordas, E.S. Minima of the fluctuations of the order parameter of global seismicity. Chaos 25 (2015) 063110, dx.doi.org/10.1063/1.4922300.</li> <li>Sarlis, N.V.; Skordas, E.S.; Christopoulos, S.-R.G.; Varotsos, P.A. Statistical significance of minimum of the order parameter fluctuations of seismicity before major earthquakes in Japan, Pure Appl. Geophys. 173 (2016) 165–172, dx.doi.org/10.1007/s00024-014-0930-8.</li> <li>Sarlis, N.V.; Skordas, E.S.; Mintzelas, A.; Papadopoulou, K.A. Micro-scale, mid-scale, and macro-scale in global seismicity identified by empirical mode decomposition and their multifractal characteristics. Scientific Reports 8 (2018) 9206, dx.doi.org/10.1038/s41598-018-27567-y.</li> <li>Mintzelas, A.; Sarlis, N. Minima of the fluctuations of the order parameter of seismicity and earthquake networks based on similar activity patterns. Physica A 527 (2019) 121293, dx.doi.org/10.1016/j.physa.2019.121293.</li> <li>Fawcett, T., An introduction to ROC analysis, Pattern Recognit. Lett. 27 (2006) 861–874, dx.doi.org/10.1016/j.patrec.2005.10.010.</li> <li>Donges, J.; Schleussner, C.F.; Siegmund, J.; Donner, R. Event coincidence analysis for quantifying statistical interrelationships between event time series. The European Physical Journal Special Topics 225 (2016) 471–487, dx.doi.org/10.1140/epjst/e2015-50233-y.</li> <li>Siegmund, J.F.; Siegmund, N.; Donner, R.V. CoinCalc - A new R package for quantifying simultaneities of event series. Computers & Geosciences 98 (2017) 64-72, dx.doi.org/10.1016/j.cageo.2016.10.004.</li> <li>Sarlis, N.V. Statistical Significance of Earth’s Electric and Magnetic Field Variations Preceding Earthquakes in Greece and Japan Revisited. Entropy 20 (2018) 561, dx.doi.org/10.3390/e20080561.</li> <li>Varotsos, P.; Lazaridou, M. Latest aspects of earthquake prediction in Greece based on seismic electric signals, Tectonophysics 188 (1991) 321–347, dx.doi.org/10.1016/0040-1951(91)90462-2.</li> </ol>


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