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Diffuse scattering is usually associated with some disorder in the analyzed material. Different kinds of disorder may produce different diffuse scattering -- or not. In this letter, we demonstrate some aspects of the variety of diffuse…

Mathematical Physics · Physics 2019-07-16 Moritz Hoeffe , Michael Baake

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of…

Statistical Mechanics · Physics 2017-01-25 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

Exact theoretical results for the violation of time dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of correlation to delayed response in the stochastic model introduced in [Phys. Rev.…

Statistical Mechanics · Physics 2007-05-23 Yair Shokef , Guy Bunin , Dov Levine

Brownian yet non-Gaussian processes have recently been observed in numerous biological systems and the corresponding theories have been built based on random diffusivity models. Considering the particularity of random diffusivity, this…

Statistical Mechanics · Physics 2022-08-31 Xudong Wang , Yao Chen

We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under ergodic assumptions ensuring the applicability of the…

Probability · Mathematics 2025-12-10 Xue-Mei Li , Colin Piernot , Szymon Sobczak , Kexing Ying

Competitive random sequential adsorption on a line from a binary mix of incident particles is studied using both an analytic recursive approach and Monte Carlo simulations. We find a strong correlation between the small and the large…

Disordered Systems and Neural Networks · Physics 2009-11-13 Arsen V. Subashiev , Serge Luryi

It was discovered recently that frictional granular materials can exhibit an important mechanism for instabilities, i.e the appearance of pairs of complex eigenvalues in their stability matrix. The consequence is an oscillatory exponential…

Soft Condensed Matter · Physics 2019-10-09 Joyjit Chattoraj , Oleg Gendelman , Massimo Pica Ciamarra , Itamar Procaccia

We report a molecular dynamics study of crystallization in highly asymmetric binary hard-sphere mixtures, in which the large spheres can form a crystal phase while the small ones remain disordered during the crystallization process of the…

Soft Condensed Matter · Physics 2015-05-28 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

A binary mixture of two-different-sizes proliferating motile disks is studied. As growth is space-limited, we focus on the conditions such that there is coexistence of both large and small disks, or dominance of the larger disks. The study…

Statistical Mechanics · Physics 2024-01-29 Alejandro Almodóvar , Tobias Galla , Cristóbal López

Diffusivity is a key quantity in describing velocity fluctuations in granular materials. These fluctuations are the basis of many thermodynamic and hydrodynamic models which aim to provide a statistical description of granular systems. We…

Soft Condensed Matter · Physics 2009-11-10 Brian Utter , R. P. Behringer

A formula to calculate the quantum fluctuations of energy in small subsystems of a hot and relativistic gas is derived. We find an increase in fluctuations for subsystems of small sizes, but we agrees with the energy fluctuations in the…

Nuclear Theory · Physics 2021-10-08 Rajeev Singh

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an…

Soft Condensed Matter · Physics 2009-11-11 Thorsten Hiester , S. Dietrich , Klaus Mecke

We study the role of fluctuations in particle systems modeled by Dean-Kawasaki-type equations, which describe the evolution of particle densities in systems with Brownian motion. By comparing microscopic simulations, stochastic partial…

Statistical Mechanics · Physics 2026-04-16 Nathan O. Silvano , Emilio Hernández-García , Cristóbal López

A new method is proposed to numerically extract the diffusivity of a (typically nonlinear) diffusion equation from underlying stochastic particle systems. The proposed strategy requires the system to be in local equilibrium and have…

Statistical Mechanics · Physics 2018-05-09 Peter Embacher , Nicolas Dirr , Johannes Zimmer , Celia Reina

Fluctuation-enhanced sensing comprises the analysis of the stochastic component of the sensor signal and the utilization of the microscopic dynamics of the interaction between the agent and the sensor. We study the relationship between the…

Data Analysis, Statistics and Probability · Physics 2012-07-13 P. Makra , Z. Topalian , C. G. Granqvist , L. B. Kish , C. Kwan

Quantum gravitational effects may induce stochastic fluctuations in the structure of space-time, to produce a characteristic foamy structure. It has been known for some time now that these fluctuations may have observable consequences for…

General Relativity and Quantum Cosmology · Physics 2016-11-09 R. Aloisio , P. Blasi , A. Galante , A. F. Grillo

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its…

Pattern Formation and Solitons · Physics 2020-03-23 Shiva Kumar , Jing Shao

We study fluctuations of small noise multiscale diffusions around their homogenized deterministic limit. We derive quantitative rates of convergence of the fluctuation processes to their Gaussian limits in the appropriate Wasserstein metric…

Probability · Mathematics 2024-11-05 Solesne Bourguin , Konstantinos Spiliopoulos

We study a quantum particle coupled to hard-core bosons and propagating on disordered ladders with $R$ legs. The particle dynamics is studied with the help of rate equations for the boson-assisted transitions between the Anderson states. We…

Strongly Correlated Electrons · Physics 2020-10-21 M. Mierzejewski , M. Sroda , J. Herbrych , P. Prelovsek