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Cluster concepts have been extremely useful in elucidating many problems in physics. Percolation theory provides a generic framework to study the behavior of the cluster distribution. In most cases the theory predicts a geometrical…

统计力学 · 物理学 2016-09-15 Antonio Coniglio , Annalisa Fierro

The Fourier analysis of the final particle distribution followed by cumulant study of the Fourier coefficient event-by-event fluctuation is one of the main approaches for testing the collective evolution in the heavy-ion collision. Using a…

核理论 · 物理学 2021-07-15 Seyed Farid Taghavi

Covariances and variances of linear statistics of a point process can be written as integrals over the truncated two-point correlation function. When the point process consists of the eigenvalues of a random matrix ensemble, there are often…

数学物理 · 物理学 2022-05-04 Peter J. Forrester

Consider a system of particles evolving as independent and identically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity $\vec{v}$, the common mean velocity of the random…

概率论 · 数学 2010-09-15 Rohini Kumar

In this perspective we consider how modern statistical mechanics and response theory can be applied to understand the response of polar molecules to an applied electric field and the fluctuations in these systems. Results that are…

统计力学 · 物理学 2024-01-08 Debra J. Searles , Stephen Sanderson

We examine the space-time structure of the particle-emitting sources with fluctuating initial conditions in smoothed particle hydrodynamics. The two-pion correlation functions of single events for the sources exhibit event-by-event…

高能物理 - 唯象学 · 物理学 2008-08-18 Yan-Yu Ren , Wei-Ning Zhang , Jian-Li Liu

The collective flow generated in relativistic heavy-ion collisions fluctuates from event to event. The fluctuations lead to a decorrelation of flow vectors measured in separate bins in phase space. These effects have been measured in…

核理论 · 物理学 2024-02-21 Piotr Bozek , Hadi Mehrabpour

Strong violations of existing fluctuation theorems may arise in nonequilibrium steady states characterized by distributions with power-law tails. The ratio of the probabilities of positive and negative fluctuations of equal magnitude…

统计力学 · 物理学 2012-07-11 Adrian A. Budini

Recent experimental observations have demonstrated interesting instability phenomenon during thermal drawing of microstructured glass/polymer fibers, and these observations motivate us to examine surface-tension-driven instabilities in…

流体动力学 · 物理学 2011-08-12 D. S. Deng , J. -C. Nave , X. Liang , S. G. Johnson , Y. Fink

Dynamics of the particle phase in a particle laden turbulent flow is highly influenced by the fluctuating velocity and vorticity field of the fluid phase. The present work mainly focuses on exploring the possibility of applying a Langevin…

流体动力学 · 物理学 2021-06-08 Swagnik Ghosh , Partha Sarathi Goswami

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

统计力学 · 物理学 2024-07-09 T. R. Kirkpatrick , D. Belitz

Here we try and delienate the properties of the function that corresponds to fluctuations in the momentum distribution. The quantity denoted by $ N(k,k^{'}) $ is quite an interesting object. It satisfies various elegant sum rules and is…

凝聚态物理 · 物理学 2007-05-23 Girish S. Setlur , Yia-Chung Chang

We study statistical properties of atmospheric particulate matter fluctuations using six years of daily PM2.5 concentration data from fifty-four Indian cities. Despite diverse urban settings and heterogeneous climatic conditions, we find…

物理与社会 · 物理学 2026-04-29 Suchismita Banerjee , Koyena Ghosh , Urna Basu , Banasri Basu

A generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is derived. The proposed correlation incorporates essential rarefied physics, low-speed hydrodynamics, and shock-wave physics to…

The dynamics of adhesion of a spherical micro-particle to a ligand-coated wall, in shear flow, is studied using a Langevin equation that accounts for thermal fluctuations, hydrodynamic interactions and adhesive interactions. Contrary to the…

软凝聚态物质 · 物理学 2020-07-03 K. V. Ramesh , R. Thaokar , J. Ravi Prakash , R. Prabhakar

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

核实验 · 物理学 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

General relations are found between the measure of the uniformity of distributions on the phase space and the first moments and correlations of extensive variables for systems close to thermal equilibrium. The role played by the parameter…

统计力学 · 物理学 2009-11-07 Arkadiusz Majka , Wojciech Wislicki

Cosmic ray air showers are known to emit pulsed radio emission which can be understood as coherent geosynchrotron radiation arising from the deflection of electron-positron pairs in the earth's magnetic field. Here, we present simulations…

天体物理学 · 物理学 2019-08-14 Tim Huege

We study analytically the distribution of fluctuations of the quantities whose average yield the usual two-point correlation and linear response functions in three unfrustrated models: the random walk, the $d$ dimensional scalar field and…

统计力学 · 物理学 2012-12-12 Federico Corberi , Leticia F. Cugliandolo

The entropy per particle in most Monte-Carlo simulations is size dependent due to correlated energy fluctuations. Guided by nanothermodynamics, we find a constraint for the Ising model that enhances the fluctuations and lowers the free…

统计力学 · 物理学 2009-04-28 Ralph V. Chamberlin , George H. Wolf