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We consider classical hard-core particles moving on two parallel chains in the same direction. An interaction between the channels is included via the hopping rates. For a ring, the stationary state has a product form. For the case of…

Statistical Mechanics · Physics 2011-07-13 Vladislav Popkov , Ingo Peschel

The emergence of a power-law distribution for the energy released during an earthquake is investigated in several models. Generic features are identified which are based on the self-affine behavior of the stress field prior to an event.…

Fault zones exhibit geometrical complexity and are often surrounded by multiscale fracture networks within their damage zones, influencing rupture dynamics and near-field ground motions. We investigate the ground-motion characteristics of…

Symmetry plays a vital role in understanding structural patterns, aiding object recognition and scene interpretation. This paper focuses on rotation symmetry, where objects remain unchanged when rotated around a central axis, requiring…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Ahyun Seo , Minsu Cho

Herein, the problem of simultaneous localization of two sources given a modest number of samples is examined. In particular, the strategy does not require knowledge of the target signatures of the sources a priori, nor does it exploit…

Information Theory · Computer Science 2017-04-21 Junting Chen , Urbashi Mitra

The problem of diffusive bond-dissociation in a double well potential under application of an external force is scrutinized. We compute the probability distribution of rupture forces and present a detailed discussion of the influence of…

Soft Condensed Matter · Physics 2009-11-13 Gregor Diezemann , Andreas Janshoff

The dynamics of symmetry-breaking after a quench is numerically simulated on a lattice for the (2+1)-dimensional O(3) model. In addition to the standard sigma-model with temperature-dependent Phi^4-potential the energy functional includes a…

High Energy Physics - Phenomenology · Physics 2013-05-29 G. Holzwarth

We study the earthquake model by Olami, Feder and Christensen in one dimension. While the size distribution of earthquakes resembles a power law for small system sizes, it splits for larger system sizes into two parts, one comprising small…

Statistical Mechanics · Physics 2009-11-10 Felix Wissel , Barbara Drossel

Directed transport in ratchets is determined by symmetry-breaking in a system out of equilibrium. A hallmark of rocking ratchets is current reversals: an increase in the rocking force changes the direction of the current. In this work for a…

Statistical Mechanics · Physics 2015-05-19 D. Cubero , V. Lebedev , F. Renzoni

Exact analytic results for single level current and curvature distribution functions are derived in a framework of a $2\times 2$ random matrix model. Current and curvature are defined as the first and second derivatives of energy with…

Condensed Matter · Physics 2009-10-22 Alex Kamenev , Daniel Braun

We propose a general exact method of calculating dynamical correlation functions in dual symplectic brick-wall circuits in one dimension. These are deterministic classical many-body dynamical systems which can be interpreted in terms of…

Chaotic Dynamics · Physics 2024-01-25 Alexios Christopoulos , Andrea De Luca , D L Kovrizhin , Tomaž Prosen

We determine the arrangement of spins in the ground state of the XY model with quenched, random fields, on a fully connected graph. Two types of disordered fields are considered, namely randomly oriented magnetic fields, and randomly…

Statistical Mechanics · Physics 2024-04-01 Rajiv G Pereira , Ananya Janardhanan , Mustansir Barma

High resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussianity of velocity differences statistics are quantitatively investigated. The level of statistical…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , M. Vergassola

In this work, we study the probability distribution for the force and potential energy of a test particle interacting with $N$ point random sources in the limit $N\rightarrow\infty$. The interaction is given by a central potential…

Mathematical Physics · Physics 2023-08-17 E. L. S. Silva , L. H. Miranda-Filho , A. Figueiredo

As is well-known, two-dimensional and three-dimensional superfluids under rotation can support topological excitations such as quantized point vortices and line vortices respectively. Recently, we have studied how, in a hypothetical…

Quantum Gases · Physics 2024-09-20 Ben McCanna , Hannah M. Price

We revisit the total scatterings (in terms of extinction, scattering and absorption cross sections) by arbitrary clusters of nonmagnetic particles that support optically-induced magnetic responses. Our reexamination is conducted from the…

Optics · Physics 2020-09-23 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

We investigate the role of the degree of symmetry of the diversity distribution in shaping the collective dynamics of networks of coupled excitable units modeled by FitzHugh-Nagumo equations. While previous studies have focused primarily on…

Adaptation and Self-Organizing Systems · Physics 2025-11-12 Stefano Scialla , Marco Patriarca , Els Heinsalu , Marius E. Yamakou , Julyan H. E. Cartwright

Usual inversion for earthquake source parameters from tsunami wave data incorporates subjective elements. Noisy and possibly insufficient data also results in instability and non-uniqueness in most deterministic inversions. Here we employ…

The spectra of random feature matrices provide essential information on the conditioning of the linear system used in random feature regression problems and are thus connected to the consistency and generalization of random feature models.…

Machine Learning · Statistics 2022-12-13 Zhijun Chen , Hayden Schaeffer , Rachel Ward

This paper considers dynamic fracturing of the rockmass surrounding a tunnel statically loaded by compressional stress as a possible source of seismic events in underground mines. This begins with two-dimensional dynamic modelling of…

Geophysics · Physics 2022-05-17 Dmitriy Malovichko , Alex Rigby
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