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We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture,…

Statistical Mechanics · Physics 2012-05-22 Hikaru Kawamura , Takahiro Hatano , Naoyuki Kato , Soumyajyoti Biswas , Bikas K. Chakrabarti

Mode-I fracture exhibits microbranching in the high velocity regime where the simple straight crack is unstable. For velocities below the instability, classic modeling using linear elasticity is valid. However, showing the existence of the…

Statistical Mechanics · Physics 2017-06-30 Shay I. Heizler , David A. Kessler

This article present the double-periodical lattice made of infinite elastic fibers that withstand bending and tension. The model describes the elastic properties of flat periodic structure. With this model the behavior of a two-dimensional…

Soft Condensed Matter · Physics 2016-12-05 V. Kobelev

Friction laws, which are a key to the understanding of the diversity of earthquakes, are considered theoretically. Using dimensional analysis, the logarithmic dependence of the friction coefficient on the slip velocity and the state…

Geophysics · Physics 2015-08-21 Takahiro Hatano

The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we implement a stability analysis of spatially dependent reaction…

Pattern Formation and Solitons · Physics 2019-11-06 Michal Kozák , Eamonn A Gaffney , Václav Klika

Here we study a driven lattice gas model for microtubule depolymerizing molecular motors, where traffic jams of motors induce stochastic switching between microtubule growth and shrinkage. We term this phenomenon \enquote{traffic dynamic…

Statistical Mechanics · Physics 2015-05-07 Louis Reese , Anna Melbinger , Erwin Frey

We study the dynamics of a flexible fiber freely moving in a three-dimensional fully-developed turbulent field and present a phenomenological theory to describe the interaction between the fiber elasticity and the turbulent flow. This…

Fluid Dynamics · Physics 2018-08-01 Marco Edoardo Rosti , Arash Alizad Banaei , Luca Brandt , Andrea Mazzino

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

The fission of a string connecting two charges is an astounding phenomenon in confining gauge theories. The dynamics of this process have been studied intensively in recent years, with plenty of numerical results yielding a dichotomy: the…

Strongly Correlated Electrons · Physics 2023-12-11 Roberto Verdel , Guo-Yi Zhu , Markus Heyl

This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surface and the diffusion of the wear debris. The relationships…

Mathematical Physics · Physics 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Two chains of Luttinger liquids coupled by both interchain hopping and interchain interaction are investigated. A degeneracy of two kinds of dominant states with in phase and out of phase ordering in the absence of the hopping is removed…

Condensed Matter · Physics 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

The periodic motion of a classical point particle in a one-dimensional double-well potential acquires a surprising degree of complexity if friction is added. Finite uncertainty in the initial state can make it impossible to predict in which…

Chaotic Dynamics · Physics 2016-10-11 Joshua Oldham , Stefan Weigert

The strength and stability of frictional interfaces, ranging from tribological systems to earthquake faults, are intimately related to the underlying spatially-extended dynamics. Here we provide a comprehensive theoretical account, both…

Materials Science · Physics 2013-12-17 Yohai Bar-Sinai , Robert Spatschek , Efim A. Brener , Eran Bouchbinder

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

Dynamical coupled-channel (DCC) approaches parametrize the interactions and dynamics of two and more hadrons and their response to different electroweak probes. The inclusion of unitarity, three-body channels, and other properties from…

Nuclear Theory · Physics 2025-10-15 Michael Döring , Johann Haidenbauer , Maxim Mai , Toru Sato

How frictional effects emerge at the microscopic level in particulate materials remains a challenging question, particularly in systems subject to thermal fluctuations due to the transient nature of interparticle contacts. Here, we directly…

Soft Condensed Matter · Physics 2025-08-12 Berend van der Meer , Taiki Yanagishima , Roel P. A. Dullens

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio

Many natural systems show emergent phenomena at different scales, leading to scaling regimes with signatures of chaos at large scales and an apparently random behavior at small scales. These features are usually investigated quantitatively…

The ability for real-time control of topological defects can open up prospects for dynamical manipulation of macroscopic properties of solids. A sub-category of these defects, formed by particle dislocations, can be effectively described…

Statistical Mechanics · Physics 2024-08-22 Oksana Chelpanova , Shane P. Kelly , Ferdinand Schmidt-Kaler , Giovanna Morigi , Jamir Marino