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In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the model of interest is the so-called ABC model, in which three…

Probability · Mathematics 2026-04-07 Giuseppe Cannizzaro , Pedro Cardoso , Lukas Gräfner , Alessandra Occelli

Series of experiments on turbulent bubbly channel flows observed bubble clusters near the wall which can change large-scale flow structures. To gain insights into clustering mechanisms, we study the interaction of a pair of spherical…

Fluid Dynamics · Physics 2022-02-07 Kazuki Maeda , Masanobu Date , Kazuyasu Sugiyama , Shu Takagi , Yoichiro Matsumoto

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

Statistical Mechanics · Physics 2025-10-22 Raphael Chetrite , Stefano Marcantoni

We study three classes of continuous time Markov processes (inclusion process, exclusion process, independent walkers) and a family of interacting diffusions (Brownian energy process). For each model we define a boundary driven process…

Mathematical Physics · Physics 2015-06-12 Gioia Carinci , Cristian Giardina' , Claudio Giberti , Frank Redig

Particle number fluctuations and correlations in nucleus-nucleus collisions at SPS and RHIC energies are studied within microscopic transport approaches. In this review we focus on the Hadron-String-Dynamics (HSD) and…

Nuclear Theory · Physics 2015-05-18 V. P. Konchakovski , M. I. Gorenstein , E. L. Bratkovskaya , W. Greiner

Recent experimental results suggest that a particular hydrodynamic theory describes charge fluctuations at long wavelengths in the square-lattice Hubbard model. Due to the continuity equation, the correlation functions for the charge and…

Strongly Correlated Electrons · Physics 2025-02-05 J. Vucicevic , S. Predin , M. Ferrero

In recent years, there has been considerable interest in understanding the motion in Hamiltonian systems when phase space is divided into stochastic and integrable regions. This paper studies one aspect of this problem, namely, the motion…

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney

Several experiments on tagged molecules or particles in living systems suggest that they move anomalously slow - their mean squared displacement (MSD) increase slower than linearly with time. Leading models aimed at understanding these…

Statistical Mechanics · Physics 2017-01-04 Ludvig Lizana , Tobias Ambjörnsson , Michael A. Lomholt

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann

We consider an interacting particle system on the one dimensional lattice $\bf Z$ modeling combustion. The process depends on two integer parameters $2\le a<M<\infty$. Particles move independently as continuous time simple symmetric random…

Probability · Mathematics 2016-09-07 Francis Comets , Jeremy Quastel , Alejandro F. Ramirez

We introduce a model for active transport on inhomogeneous networks embedded in a diffusive environment and investigate the formation of particle clusters. In the presence of a hard-core interaction, cluster sizes exhibit an algebraically…

Biological Physics · Physics 2015-03-13 Philip Greulich , Ludger Santen

We consider a new interacting particle system on the one-dimensional lattice that interpolates between TASEP and Toom's model: A particle cannot jump to the right if the neighboring site is occupied, and when jumping to the left it simply…

Mathematical Physics · Physics 2008-11-01 Alexei Borodin , Patrik L. Ferrari

A study on the spatial organization and velocity fluctuations of non Brownian spherical particles settling at low Reynolds number in a vertical Hele-Shaw cell is reported. The particle volume fraction ranged from 0.005 to 0.05, while the…

Fluid Dynamics · Physics 2019-08-17 A. Boschan , B. L. Ocampo , M. Annichini , G. Gauthier

Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable. Exact analytical theory for the…

Statistical Mechanics · Physics 2009-11-11 Eli Barkai

We use molecular dynamics simulations to probe the rotational dynamics of the SPC/E model of water for a range of temperatures down to 200 K, 13 K above to the mode coupling temperature. We find that rotational dynamics is spatially…

Soft Condensed Matter · Physics 2015-06-25 Marco G. Mazza , Nicolas Giovambattista , Francis W. Starr , H. Eugene Stanley

We show that spatial variation and correlation of superconductivity fluctuations in a two-band model are scaled by two characteristic lengths. This results in substantially more complicated picture compared to one-band systems. In…

Superconductivity · Physics 2012-11-26 T. Örd , A. Vargunin , K. Rägo

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

Statistical Mechanics · Physics 2020-09-01 Francisco J. Sevilla

We experimentally study density fluctuations and energy spectra of bulk \textit{E. coli} suspensions of different concentrations. Our results verify the predicted scaling law of giant number fluctuations in three-dimensional (3D) wet active…

Soft Condensed Matter · Physics 2021-10-28 Zhengyang Liu , Wei Zeng , Xiaolei Ma , Xiang Cheng

Collections of persistently moving active particles are an example of a nonequilibrium heat bath. One way to study the nature of nonequilibrium fluctuations in such systems is to follow the dynamics of an embedded probe particle. With this…

Statistical Mechanics · Physics 2023-12-13 Pritha Dolai , Aditya Singh Rajput , K. Vijay Kumar

Active fluctuations are known to play a significant role in the intracellular transport of passive objects. However, the effect of viscoelasticity of the environment in shaping such processes is relatively less understood. Here, with a…

Statistical Mechanics · Physics 2023-09-26 Biswajit Das , Shuvojit Paul , Sreekanth K. Manikandan , Ayan Banerjee