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We show that the intermittent and self-similar fluctuations displayed by a slow crack during the propagation in a heterogeneous medium can be quantitatively described by an extension of a classical statistical model for fracture. The model…

Disordered Systems and Neural Networks · Physics 2013-01-24 G. Pontuale , F. Colaiori , A. Petri

We provide a method for calculating time-averaged stress fluctuations on surfaces in a viscous incompressible fluid at equilibrium. We assume that (i) the time-averaged fluctuating stress is balanced in equilibrium at each position and that…

Statistical Mechanics · Physics 2018-12-27 Masato Itami , Shin-ichi Sasa

We study fluctuations in the drag force experienced by an object moving through a granular medium. The successive formation and collapse of jammed states give a stick-slip nature to the fluctuations which are periodic at small depths but…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Albert , P. Tegzes , R. Albert , J. G. Sample , A. -L. Barabasi , T. Vicsek , P. Schiffer

We propose a mathematical model to describe the athermal fluctuations of thin sheets driven by the type of random driving that might be experienced prior to weak crumpling. The model is obtained by merging the F\"oppl-von K\'arm\'an…

Soft Condensed Matter · Physics 2022-08-11 Chanania Steinbock , Eytan Katzav , Arezki Boudaoud

The effects of sampling rate and total measurement time have been determined for single-point measurements of step fluctuations within the context of first-passage properties. Time dependent STM has been used to evaluate step fluctuations…

Statistical Mechanics · Physics 2007-05-23 D. B. Dougherty , C. Tao , O. Bondarchuk , W. G. Cullen , E. D. Williams , M. Constantin , C. Dasgupta , S. Das Sarma

Metals owe their unique mechanical properties to how defects emerge and propagate within their crystal structure under stress. However, the mechanisms leading from the early emerging (local) defects to the amplification of dislocations…

Materials Science · Physics 2025-02-14 Matteo Cioni , Mattia Perrone , Massimo Delle Piane , Giovanni Maria Pavan

We study the geometrical features of the order parameter's fluctuations near the critical point of mixed-order phase transitions in randomly interdependent spatial networks. In contrast to continuous transitions, where the structure of the…

Disordered Systems and Neural Networks · Physics 2023-01-04 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

The lateral diffusion and trapping of neurotransmitter receptors within the postsynaptic membrane of a neuron plays a key role in determining synaptic strength and plasticity. Trapping is mediated by the reversible binding of receptors to…

Quantitative Methods · Quantitative Biology 2022-03-25 Ryan D. Schumm , Paul C. Bressloff

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour and the strain controlled…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

Direct correlation between temporal structural fluctuations and electron wind force is demonstrated, for the first time, by STM imaging and analysis of atomically-resolved motion on a thin film surface under large applied current (10e5…

Materials Science · Physics 2007-05-23 O. Bondarchuk , W. G. Cullen , M. Degawa , Ellen D. Williams

Numerous laboratory experiments have demonstrated the dependence of the friction coefficient on the interfacial slip rate and the contact history, a behavior generically called rate and state friction. Although numerical models have been…

Geophysics · Physics 2020-06-24 Roozbeh Rezakhani , Fabian Barras , Michael Brun , Jean-Francois Molinari

We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated and time-averaged thermodynamic currents of diffusion…

Statistical Mechanics · Physics 2023-01-09 Cai Dieball , Aljaž Godec

The temporal evolution of mechanical energy and spatially-averaged crack speed are both monitored in slowly fracturing artificial rocks. Both signals display an irregular burst-like dynamics, with power-law distributed fluctuations spanning…

Statistical Mechanics · Physics 2016-02-26 Jonathan Barés , Lamine Hattali , Davy Dalmas , Daniel Bonamy

We study the dynamic structure factor of fluctuating elastic thin sheets subject to conservative (athermal) random forcing. In Steinbock, Katzav & Boudaoud, Phys. Rev. Research 4, 033096 (2022), the static structure factor of such a sheet…

Soft Condensed Matter · Physics 2023-02-09 Chanania Steinbock , Eytan Katzav

We extend our earlier shear-transformation-zone (STZ) theory of amorphous plasticity to include the effects of thermally assisted molecular rearrangements. This version of our theory is a substantial revision and generalization of…

Materials Science · Physics 2009-11-10 M. L. Falk , J. S. Langer , L. Pechenik

We follow the temporal evolution of mesoscopic intensity fluctuations and correlation in strongly localized samples. We find an initial burst in relative transmission fluctuations in random one dimensional (1D) samples due to fluctuations…

Disordered Systems and Neural Networks · Physics 2015-06-03 J. Wang , A. A. Chabanov , D. Y. Lu , Z. Q. Zhang , A. Z. Genack

We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances…

Pattern Formation and Solitons · Physics 2015-05-13 C. M. Topaz , Anne J. Catlla

Protein folding is a universal process, very fast and accurate, which works consistently (as it should be) in a wide range of physiological conditions. The present work is based on three premises, namely: ($i$) folding reaction is a process…

Biological Physics · Physics 2015-05-20 J. P. Dal Molin , M. A. A. da Silva , A. Caliri

We study numerically the spatial properties of relaxation clusters in a two dimensional sandpile automaton with dynamic rules depending stochastically on a parameter p, which models the effects of static friction. In the limiting cases p=1…

Condensed Matter · Physics 2016-08-31 S. Luebeck , K. D. Usadel , B. Tadic

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy