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In the turbulent regime of coupled map lattice with non-local interaction the maps systematically form periodic cluster attractors and their remnants by synchronization due to the foliation of periodic windows of the element map. We examine…

Chaotic Dynamics · Physics 2007-05-23 Tokuzo Shimada , Shou Tsukada

Consider $(X_{i}(t))$ solving a system of $N$ stochastic differential equations interacting through a random matrix $\mathbf J = (J_{ij})$ with independent (not necessarily identically distributed) random coefficients. We show that the…

Probability · Mathematics 2021-02-03 Amir Dembo , Reza Gheissari

Exploiting the gauge/gravity correspondence we find the spectrum of hadronic-like bound states of adjoint particles with a large global charge in several confining theories. In particular, we consider an embedding of four-dimensional N=1…

High Energy Physics - Theory · Physics 2009-11-10 G. Bertoldi , F. Bigazzi , A. L. Cotrone , C. Nunez , L. A. Pando Zayas

The spectral properties of interacting strongly chaotic systems are investigated for growing interaction strength. A very sensitive transition from Poisson statistics to that of random matrix theory is found. We introduce a new random…

When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when…

Disordered Systems and Neural Networks · Physics 2010-12-09 Yaron Silberberg , Yoav Lahini , Yaron Bromberg , Eran Small , Roberto Morandotti

Long-lived coherences, emerging under periodic pulse driving in the disordered ensembles of strongly interacting spins, offer immense advantages for future quantum technologies, but the physical origin and the key properties of this…

Quantum Physics · Physics 2021-07-13 Walter Hahn , V. V. Dobrovitski

Interacting random matrix systems are fundamental to modern theoretical physics and data science, yet a unified framework for their analysis has been lacking. This work introduces such a universal framework, built upon two novel concepts:…

Probability · Mathematics 2025-10-24 Cong Chen , Yong Li

Imperfections in multimode systems lead to mode-mixing and interferences between propagating modes. Such disorder is typically characterized by a finite correlation time (in quantum evolution) or correlation length (in paraxial evolution).…

Disordered Systems and Neural Networks · Physics 2019-04-24 Yaxin Li , Doron Cohen , Tsampikos Kottos

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

Soft Condensed Matter · Physics 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

We present a theory for Coulomb drag between two mesoscopic systems. Our formalism expresses the drag in terms of scattering matrices and wave functions, and its range of validity covers both ballistic and disordered systems. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

We study dynamical spin correlations in a dissipative XXZ spin chain subject to uniform local spin-loss and pumping. Starting from a mixed steady state that is featureless albeit possessing finite magnetization, rich dynamics emerges in…

Strongly Correlated Electrons · Physics 2026-05-07 Cătălin Paşcu Moca , Doru Sticlet , Ovidiu I. Pâţu , Balazs Dóra

The relationship between computational models and dynamics has captivated mathematicians and computer scientists since the earliest conceptualizations of computation. Recently, this connection has gained renewed attention, fueled by T.…

Dynamical Systems · Mathematics 2025-09-01 Ángel González-Prieto , Eva Miranda , Daniel Peralta-Salas

It is well known that the similar universal behavior of infinite-size (bulk) systems of different nature requires the same basic conditions: space dimensionality; number components of order parameter; the type (short- or long-range) of the…

The well-established universality classes of absorbing critical phenomena are directed percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with diffusion (PCPD) has been investigated extensively and claimed…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh , Hyunggyu Park

Field/circuit coupling is a common approach when a lumped representation of a certain electrotechnical device is not accurate enough. To exploit existing code and underlying properties of the coupled systems, cosimulation techniques such as…

Numerical Analysis · Mathematics 2026-05-01 Idoia Cortes Garcia , Jonas Pade

We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of…

Statistical Mechanics · Physics 2017-01-25 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We review the currently known universality classes of continuous phase transitions to absorbing states in nonequilibrium systems and present results of simulations and arguments to show how the blockades introduced by different particle…

Statistical Mechanics · Physics 2009-11-07 Geza Odor , Nora Menyhard

Inhomogeneous environments are rather ubiquitous in nature, often implying anomalies resulting in deviation from Gaussianity of diffusion processes. While sub- and superdiffusion are usually due to conversing environmental features…

Statistical Mechanics · Physics 2023-05-23 Attilio L. Stella , Aleksei Chechkin , Gianluca Teza