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Apart from not having crystallized, supercooled liquids can be considered as being properly equilibrated and thus can be described by a few thermodynamic control variables. In contrast, glasses and other amorphous solids can be arbitrarily…

Disordered Systems and Neural Networks · Physics 2017-10-10 Vassiliy Lubchenko , Peter G. Wolynes

We study a branching-process random iterated function system (RIFS) defined by a recursive replacement of leaves by finite subtrees at strictly smaller contraction scales. This construction yields a tree-valued, infinite-depth random…

Probability · Mathematics 2026-02-02 Kevin Hudnall

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven…

Statistical Mechanics · Physics 2009-06-05 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi

We study the stability of patterns arising in rotating convection in weakly anisotropic systems using a modified Swift-Hohenberg equation. The anisotropy, either an endogenous characteristic of the system or induced by external forcing, can…

Pattern Formation and Solitons · Physics 2009-11-07 Alex Roxin , Hermann Riecke

In this paper, we propose a novel pulse shaping design for single-carrier integrated sensing and communication (ISAC) transmission. Due to the communication information embedded in the ISAC signal, the resulting auto-correlation function…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Zihan Liao , Fan Liu , Shuangyang Li , Yifeng Xiong , Weijie Yuan , Marco Lops

We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis. For the random axis anisotropic…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Along the way initiated by Carleo and Troyer [1], we construct the neural-network quantum state of transverse-field Ising model(TFIM) by an unsupervised machine learning method. Such a wave function is a map from the spin-configuration…

Disordered Systems and Neural Networks · Physics 2020-01-08 Han-qing Shi , Xiao-yue Sun , Ding-fang Zeng

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

Statistical Mechanics · Physics 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

Nanoscale electronics and novel fabrication technologies bear unique opportunities for self-assembling multi-billion component systems in a largely random manner, which would likely lower fabrication costs significantly compared to a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Christof Teuscher

A model of the passive vector quantity advected by a Gaussian time-decorrelated self-similar velocity field is studied; the effects of pressure and large-scale anisotropy are discussed. The inertial-range behavior of the pair correlation…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , A. V. Runov

We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature ($T$), low-energy behavior is controlled by strong disorder fixed points. We obtain the momentum and frequency…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

We perceive the world through images formed by scattering. The ability to interpret scattering data mathematically has opened to our scrutiny the constituents of matter, the building blocks of life, and the remotest corners of the universe.…

Computational Physics · Physics 2011-09-27 Dimitrios Giannakis , Peter Schwander , Abbas Ourmazd

We study a self-organized critical system under influence of turbulent motion of the environment. The system is described by the anisotropic continuous stochastic equation proposed by Hwa and Kardar [{\it Phys. Rev. Lett.} {\bf 62}: 1813…

Statistical Mechanics · Physics 2020-09-22 N. V. Antonov , N. M. Gulitskiy , P. I. Kakin , G. E. Kochnev

A method is developed to estimate the properties of a global hydrodynamic instability in turbulent flows from measurement data of the limit-cycle oscillations. For this purpose, the flow dynamics are separated in deterministic contributions…

Fluid Dynamics · Physics 2021-04-21 Moritz Sieber , C. Oliver Paschereit , Kilian Oberleithner

This work develops a unified framework for inferring, representing, and statistically characterizing an anisotropic strength surface directly from molecular dynamics data. Large-scale tensile loading simulations are used to generate failure…

Materials Science · Physics 2026-02-19 Alexander Bonacci , John Dolbow , Johann Guilleminot

Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {\it topological} defects are interesting since they reflect…

High Energy Physics - Theory · Physics 2022-06-06 Ananda Roy , Hubert Saleur

The paper introduces a technique that decomposes the dynamics of a nonlinear system about an equilibrium into low order components, which then can be used to reconstruct the full dynamics. This is a nonlinear analogue of linear modal…

Dynamical Systems · Mathematics 2020-08-03 Robert Szalai

A new class of pattern forming systems is identified and investigated: anisotropic systems that are spatially inhomogeneous along the direction perpendicular to the preferred one. By studying the generic amplitude equation of this new class…

Pattern Formation and Solitons · Physics 2015-10-28 B. Kaoui , A. Guckenberger , A. Krekhov , F. Ziebert , W. Zimmermann

The question of how network topology influences emergent synchronized oscillations in excitable media is addressed. Coupled van der Pol-FitzHugh-Nagumo elements arranged either on regular rings or on clusters of the square lattice are…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. Vragović , E. Louis , C. D. E. Boschi , G. J. Ortega

Among systems that display generic scale invariance, those whose asymptotic properties are anisotropic in space (strong anisotropy, SA) have received a relatively smaller attention, specially in the context of kinetic roughening for…

Statistical Mechanics · Physics 2015-06-11 Edoardo Vivo , Matteo Nicoli , Rodolfo Cuerno
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