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We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases. This model enables us to study in detail…

Quantum Physics · Physics 2009-11-13 Jozef Kosik , Vladimir Buzek , Mark Hillery

Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event.…

Quantum key distribution is a cornerstone of quantum cryptography, enabling secure communication through the principles of quantum mechanics. In reality, most practical implementations rely on the decoy-state method to ensure security…

Quantum Physics · Physics 2024-11-04 Zitai Xu , Yizhi Huang , Xiongfeng Ma

We explore the distribution of paths followed in fluctuation-induced switching between coexisting stable states. We introduce a quantitative characteristic of the path distribution in phase space that does not require a priori knowledge of…

Statistical Mechanics · Physics 2009-11-13 H. B. Chan , M. I. Dykman , C. Stambaugh

We have developed a model that describes the major characteristics of a rupture, ranging from regular earthquakes (EQs) to slow slip events (SSEs), including episodic tremor and slip (ETS). Previous model predictions, while accurate, are…

Geophysics · Physics 2019-09-11 Naum I. Gershenzon , Cong Zhou , Thomas Skinner

Laboratory experiments reveal that variations in bottom topography can qualitatively alter the distribution of randomized surface waves. A normally-distributed, unidirectional wave field becomes highly skewed and non-Gaussian upon…

Fluid Dynamics · Physics 2019-01-30 C. Tyler Bolles , Kevin Speer , M. N. J. Moore

Natural earthquake fault systems are highly non-homogeneous. The inhomogeneities occur be- cause the earth is made of a variety of materials which hold and dissipate stress differently. In this work, we study scaling in earthquake fault…

Geophysics · Physics 2015-03-17 Rachele Dominguez , Kristy Tiampo , C. A. Serino , W. Klein

We study the production, spectrum and detectability of gravitational waves in models of the early Universe where first order phase transitions occur during inflation. We consider all relevant sources. The self-consistency of the scenario…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-16 Diego Chialva

The relation between seismic moment and fractured area is crucial to earthquake hazard analysis. Experimental catalogs show multiple scaling behaviors, with some controversy concerning the exponent value in the large earthquake regime.…

Statistical Mechanics · Physics 2016-05-11 François P. Landes , E. Lippiello

Long-range temporal and spatial correlations have been reported in a remarkable number of studies. In particular power-law scaling in neural activity raised considerable interest. We here provide a straightforward algorithm not only to…

Quantitative Methods · Quantitative Biology 2015-12-09 Robert Ton , Andreas Daffertshofer

We study the k-space fluctuations of the waveaction about its mean spectrum in the turbulence of dispersive waves. We use a minimal model based on the Random Phase Approximation (RPA) and derive evolution equations for the arbitrary-order…

Mathematical Physics · Physics 2009-11-10 Yuri V. Lvov , Sergey Nazarenko

Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase-field method has recently enabled…

Geophysics · Physics 2025-03-11 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary…

Plasma Physics · Physics 2017-03-08 O. E. Garcia , A. Theodorsen

We reexamine the production of gravitational waves by bubble collisions during a first-order phase transition. The spectrum of the gravitational radiation is determined by numerical simulations using the "envelope approximation". We find…

High Energy Physics - Phenomenology · Physics 2009-03-20 Stephan J. Huber , Thomas Konstandin

Low-frequency molecular fluctuations in the translational nonequilibrium zone of one-dimensional strong shock waves are characterised for the first time in a kinetic collisional framework in the Mach number range $2\le M\le 10$. Our…

Fluid Dynamics · Physics 2021-10-27 Saurabh S. Sawant , Deborah A. Levin , Vassilios Theofilis

If there was a first order phase transition in the early universe, there should be an associated stochastic background of gravitational waves. In this paper, we point out that the characteristic frequency of the spectrum due to phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christophe Grojean , Geraldine Servant

We review recent results on the appearance of long-term persistence in climatic records and their relevance for the evaluation of global climate models and rare events.The persistence can be characterized, for example, by the correlation…

Atmospheric and Oceanic Physics · Physics 2009-11-07 Armin Bunde , Jan Eichner , Rathinaswamy Govindan , Shlomo Havlin , Eva Koscielny-Bunde , Diego Rybski , Dmitry Vjushin

The statistical properties of coherent radiation scattered from phase-ordering materials are studied in detail using large-scale computer simulations and analytic arguments. Specifically, we consider a two-dimensional model with a…

Statistical Mechanics · Physics 2009-10-30 Gregory Brown , Per Arne Rikvold , Mark Sutton , Martin Grant

The influence of external fluctuations in phase separation processes is analysed. These fluctuations arise from random variations of an external control parameter. A linear stability analysis of the homogeneous state shows that phase…

Condensed Matter · Physics 2009-10-30 J. Garcia-Ojalvo , A. M. Lacasta , J. M. Sancho , R. Toral

Products between phase-type distributed random variables and any independent, positive and continuous random variable are studied. Their asymptotic properties are established, and an expectation-maximization algorithm for their effective…

Probability · Mathematics 2021-11-25 Hansjoerg Albrecher , Martin Bladt , Mogens Bladt , Jorge Yslas