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Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

We apply a probabilistic approach to study the computational complexity of analog computers which solve linear programming problems. We analyze numerically various ensembles of linear programming problems and obtain, for each of these…

Other Condensed Matter · Physics 2009-11-11 Yaniv Avizrats , Joshua Feinberg , Shmuel Fishman

We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care…

High Energy Physics - Lattice · Physics 2008-11-26 M. Caselle , M. Hasenbusch

A Full Band Monte Carlo simulator has been developed to consider phonon transmission across interfaces that are perpendicular to the heat flux. This solver of the Boltzmann transport equation which does not require any assumption on the…

Applied Physics · Physics 2022-05-06 N. D. Le , B. Davier , N. Izitounene , P. Dollfus , J. Saint-Martin

We study the scaling behaviors in the wind velocity time series collected at the atmospheric surface layer and compare them with two commonly used cascade models, the truncated stable distribution and the log-normal model. Results show that…

Fluid Dynamics · Physics 2012-12-03 Lei Liu , Fei Hu

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

The single-parameter scaling hypothesis relating the average and variance of the logarithm of the conductance is a pillar of the theory of electronic transport. We use a maximum-entropy ansatz to explore the logarithm of the energy density,…

Disordered Systems and Neural Networks · Physics 2017-11-22 Xiaojun Cheng , Xujun Ma , Miztli Yepez , Azriel Z. Genack , Pier A. Mello

We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of…

Physics and Society · Physics 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

On hypothesis of self-scaling co-flows in tapered rectanglar PMMA micro-channels for producing mono-dispersed liquid cells, universal scalings through all liquid detaching regimes are found under a self-similarity frame. Pan-dripping and…

Fluid Dynamics · Physics 2022-02-15 Z. L. Wang

Mott's variable range hopping (v.r.h.) is the phonon-induced hopping of electrons in disordered solids (such as doped semiconductors) within the regime of strong Anderson localization. It was introduced by N.~Mott to explain the anomalous…

Probability · Mathematics 2025-07-09 Alessandra Faggionato

A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of…

Other Condensed Matter · Physics 2018-03-20 Zhiyuan Sun , D. N. Basov , M. M. Fogler

The number of free sites next to the end of a self-avoiding walk is known as the atmosphere. The average atmosphere can be related to the number of configurations. Here we study the distribution of atmospheres as a function of length and…

Statistical Mechanics · Physics 2009-11-13 A. L. Owczarek , T. Prellberg

Fluctuation scaling has been observed universally in a wide variety of phenomena. In time series that describe sequences of events, fluctuation scaling is expressed as power function relationships between the mean and variance of either…

Data Analysis, Statistics and Probability · Physics 2015-11-03 Shinsuke Koyama , Ryota Kobayashi

In the frequency domain, the nearly constant loss, is characterized by a slope 1 in log of the real part of the electrical conductivity vs log frequency plots. It can be explained by an anomalous diffusion, defined by a random walk with the…

Statistical Mechanics · Physics 2016-04-25 Baruch Vainas

Reversed von K\'arm\'an streets are responsible for a velocity surplus in the wake of flapping foils, indicating the onset of thrust generation. However, the wake pattern cannot be predicted based solely on the flapping peak-to-peak…

Fluid Dynamics · Physics 2019-06-26 N. S. Lagopoulos , G. D. Weymouth , B. Ganapathisubramani

We provide numerical support for a long-standing prediction of universal scaling of winding angle distributions. Simulations of interacting self-avoiding walks show that the winding angle distribution for $N$-step walks is compatible with…

Statistical Mechanics · Physics 2016-03-23 Arturo Narros , Aleksander L Owczarek , Thomas Prellberg

For many driven-nonequilibrium systems, the probability distribution functions of magnitude and recurrence-time of large events follow a powerlaw indicating a strong temporal correlation. In this paper we argue why these probability…

Chaotic Dynamics · Physics 2015-06-26 M. K. Verma , S. Manna , J. Banerjee , S. Ghosh

In a film with large dielectric constant $\kappa$ the electric field of an electron spreads inside the film before exiting the film at large distances of order of $\kappa d$ ($d$ is the film width). This leads to the logarithmic Coulomb…

Disordered Systems and Neural Networks · Physics 2008-04-07 B. I. Shklovskii

Scaling laws and universality are often associated with systems exhibiting emergent phenomena possessing a characteristic energy scale. We report nonequilibrium transport measurements on two different types of single-molecule transistor…

Mesoscale and Nanoscale Physics · Physics 2009-04-20 G. D. Scott , Z. K. Keane , J. W. Ciszek , J. M. Tour , D. Natelson

The steady-state distributions and dynamical behaviour of Zero Range Processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first…

Statistical Mechanics · Physics 2008-04-30 Yonathan Schwarzkopf , M. R. Evans , David Mukamel
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