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Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

We consider a collection of weakly interacting diffusion processes moving in a two-scale locally periodic environment. We study the large deviations principle of the empirical distribution of the particles' positions in the combined limit…

Probability · Mathematics 2022-11-03 Zachary Bezemek , Konstantinos Spiliopoulos

Inhomogeneous temporal processes in natural and social phenomena have been described by bursts that are rapidly occurring events within short time periods alternating with long periods of low activity. In addition to the analysis of…

Physics and Society · Physics 2015-08-26 Hang-Hyun Jo , Juan I. Perotti , Kimmo Kaski , Janos Kertesz

Compressed frictional granular matter cannot flow without dilation. Upon forced shearing to generate flow, the amount of dilation may depend on the initial preparation and a host of material variables. On the basis of both experiments and…

Statistical Mechanics · Physics 2019-05-08 Mahesh M. Bandi , Prasenjit Das , Oleg Gendelman , H. George E. Hentschel , Itamar Procaccia

The correlation length $\xi$, a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis methods lead to discrepancies either for large external fields…

The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a variety of contagious processes such as the spreading of…

Statistical Mechanics · Physics 2018-03-01 Lucas Böttcher , Hans Jürgen Herrmann , Malte Henkel

The motion of a particle in a correlated random potential under the influence of a driving force is investigated in mean field theory. The correlations of the disorder are characterized by a short distance cutoff and a power law decay with…

Condensed Matter · Physics 2009-10-28 Heinz Horner

Understanding the activity of large populations of neurons is difficult due to the combinatorial complexity of possible cell-cell interactions. To reduce the complexity, coarse-graining had been previously applied to experimental neural…

Neurons and Cognition · Quantitative Biology 2021-03-24 Mia C. Morrell , Audrey J. Sederberg , Ilya Nemenman

The objective of statistical physics is to understand macroscopic behavior of a many-body system from the interactions of the constituents of that system. When many-body systems reach critical states, simple universal and scaling behaviors…

Physics and Society · Physics 2022-01-26 Chin-Kun Hu

We numerically study the flow of dense granular materials between parallel plates driven by an external force. The granular materials form a jammed solid-like state when the external force is below a critical force, while they flow like…

Soft Condensed Matter · Physics 2024-03-04 Michio Otsuki , Kenta Hayashi , Kiwamu Yoshii

We study a microscopic limit order book model, in which the order dynamics depend on the current best bid and ask price and the current volume density functions, simultaneously, and derive its macroscopic high-frequency dynamics. As opposed…

Probability · Mathematics 2022-02-17 Dörte Kreher , Cassandra Milbradt

The dynamics of dense particle packings near the jamming transition is characterized by correlated particle motion. The growth of dynamical heterogeneities, or strong spatial variations in the motion of the particles constituting the…

Soft Condensed Matter · Physics 2024-09-12 Rajkumar Biswas , Anoop Mutneja , Smarajit Karmakar , Ranjini Bandyopadhyay

In this paper a comparison between first order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number $N$ of pedestrians. The novelty is the fact of considering massive agents, namely…

Analysis of PDEs · Mathematics 2016-03-22 Alessandro Corbetta , Andrea Tosin

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

Arrival processes to service systems often display fluctuations that are larger than anticipated under the Poisson assumption, a phenomenon that is referred to as overdispersion. Motivated by this, we analyze a class of discrete stochastic…

We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in micro-fluidic micro-models of porous media.…

Soft Condensed Matter · Physics 2018-12-26 Soumyajyoti Biswas , Paolo Fantinel , Oshri Borgman , Ran Holtzman , Lucas Goehring

We show that the distribution of supercomputer job submission interarrival times can be understood as a relaxation process. The process of deciding when to submit a job involves a complicated set of interactions between the users…

Disordered Systems and Neural Networks · Physics 2007-05-23 Scott H. Clearwater , Stephen D. Kleban

The advent of novel opto-genetics technology allows the recording of brain activity with a resolution never seen before. The characterisation of these very large data sets offers new challenges as well as unique theory-testing…

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

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