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In a new type of percolation phase transition, which was observed in a set of non-equilibrium models, each new connection between vertices is chosen from a number of possibilities by an Achlioptas-like algorithm. This causes preferential…

Disordered Systems and Neural Networks · Physics 2015-06-18 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Focusing on shear-stress fluctuations we investigate numerically a simple generic model for self-assembled transient networks formed by repulsive beads reversibly bridged by ideal springs. With $\Delta dt$ being the sampling time and…

Statistical Mechanics · Physics 2016-06-22 J. P. Wittmer , I. Kriuchevskyi , A. Cavallo , H. Xu , J. Baschnagel

Based on the atomistic studies presented in Part I we develop analytical yield criteria for single crystals that capture the effect of shear stresses other than the Schmid stress (non-glide stresses) on the shear stress needed for…

Materials Science · Physics 2008-07-18 R. Gröger , V. Racherla , J. L. Bassani , V. Vitek

Critical behaviour of two systems, subjected to the turbulent mixing, is studied by means of the field theoretic renormalization group. The first system, described by the equilibrium model A, corresponds to relaxational dynamics of a…

Statistical Mechanics · Physics 2011-11-15 N. V. Antonov , A. S. Kapustin , A. V. Malyshev

This paper is concerned with the trends of stress fluctuations in dry granular materials as functions of the sample size D and of the grain diameter d. Results are obtained in the plateau regime of large axial deformation, during…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Adjémian , P. Evesque

A theoretical and computational study analysing the initiation of yield-stress fluids percolation in porous media is presented. Yield-stress fluid flows through porous media are complicated due to the non-linear rheological behaviour of…

Fluid Dynamics · Physics 2023-12-19 Emad Chaparian

We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding cable system. Owing to the continuity of this setup and the strong Markov property of the…

Probability · Mathematics 2023-03-21 Alexander Drewitz , Alexis Prévost , Pierre-François Rodriguez

We study the dynamical behavior of a square lattice Ising model with exchange and dipolar interactions by means of Monte Carlo simulations. After a sudden quench to low temperatures we find that the system may undergo a coarsening process…

Statistical Mechanics · Physics 2009-09-02 S. A. Cannas , M. F. Michelon , D. A. Stariolo , F. A. Tamarit

The nonequilibrium relaxation (NER) method, which has been used to investigate equilibrium systems via their nonequilibrium behavior, has been widely applied to various models to estimate critical temperatures and critical exponents.…

Statistical Mechanics · Physics 2024-10-03 Yuma Osada , Yukiyasu Ozeki

In this paper, a recently developed numerical technique [{\em Tuncer E and Guba{\'n}ski S M, IEEE Trans Diel El Insul {\bf 8}(3)(2001) 310-320}] is applied to poly(propylene glycol) complex dielectric data to extract more information about…

Soft Condensed Matter · Physics 2007-05-23 Enis Tuncer , Marizio Furlani , Bengt-Erik Mellander

Hydrogels of semiflexible biopolymers such as collagen have been shown to contract axially under shear strain, in contrast to the axial dilation observed for most elastic materials. Recent work has shown that this behavior can be understood…

Soft Condensed Matter · Physics 2019-05-13 Jordan Shivers , Jingchen Feng , Abhinav Sharma , Fred C. MacKintosh

A quantum field model that incorporates Bose-condensed systems near their phase transition into a superfluid phase and velocity fluctuations is proposed. The stochastic Navier-Stokes equation is used for a generation of the velocity…

Statistical Mechanics · Physics 2016-01-13 M. Dančo , M. Hnatič , M. V. Komarova , T. Lučivjanský , M. Yu. Nalimov

In models in statistical physics, the dynamics often slows down tremendously near the critical point. Usually, the correlation time $\tau$ at the critical point increases with system size $L$ in power-law fashion: $\tau \sim L^z$, which…

Statistical Mechanics · Physics 2020-08-25 Wei Zhong , Gerard T. Barkema , Debabrata Panja

We compute the rheological properties of inelastic hard spheres in steady shear flow for general shear rates and densities. Starting from the microscopic dynamics we generalise the Integration Through Transients (\textsc{itt}) formalism to…

Soft Condensed Matter · Physics 2020-03-03 W. Till Kranz , Fabian Frahsa , Annette Zippelius , Matthias Fuchs , Matthias Sperl

We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density of particles. The exact expressions for the first two…

Mathematical Physics · Physics 2022-01-05 Anastasiia A. Trofimova , Alexander M. Povolotsky

A simplified 3D FE model based on McCormick's model is developed to numerically predict the spatiotemporal behaviors of the PLC effect in Ti-12Mo alloy tensile tests at 350 degrees C with strain rates from the order of $10^{-4}$ s$^{-1}$ to…

Classical Physics · Physics 2024-07-15 Shiyuan Luo , Yongxin Jiang , Sandrine Thuillier , Philippe Castany , Liangcai Zeng

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

In phase transition phenomena, the estimation of the critical point is crucial for the calculation of the various critical exponents and the determination of the universality class they belong to. However, this is not an easy task, since a…

Statistical Mechanics · Physics 2015-06-23 Nikolaos Bastas , Kosmas Kosmidis , Paraskevas Giazitzidis , Michael Maragakis

We calculate the distribution of interparticle normal forces $P(F)$ near the glass and jamming transitions in model supercooled liquids and foams, respectively. $P(F)$ develops a peak that appears near the glass or jamming transitions,…

Soft Condensed Matter · Physics 2009-10-31 C. S. O'Hern , Stephen A. Langer , Andrea J. Liu , S. R. Nagel

The slow creep of glacial ice plays a key role in sea-level rise, yet its transient deformation remains poorly understood. Glen's flow law, where strain rate is simply a function of stress, cannot predict the time-dependent creep behavior…

Geophysics · Physics 2025-12-10 Alex J. Vargas , Ranjiangshang Ran , Justin C. Burton
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