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We study the frictional drag force in low-dimensional systems (2D-electron and 2D-liquid systems) mediated by a fluctuating electromagnetic field which originate from Brownian motion of ions in liquid. The analysis is focused on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. I. Volokitin , B. N. J. Persson

Brownian computers utilize thermal fluctuations as a resource for computation and hold promise for achieving ultra-low-energy computations. However, the lack of a statistical direction in Brownian motion necessitates the incorporation of…

Statistical Mechanics · Physics 2025-12-23 Sho Nakade , Ferdinand Peper , Kazuki Kanki , Tomio Petrosky

Sub-fractional Brownian motion is a process analogous to fractional Brownian motion but without stationary increments. In \cite{GGL1} we proved a strong uniform approximation with a rate of convergence for fractional Brownian motion by…

Probability · Mathematics 2012-02-09 Johanna Garzon , Luis G. Gorostiza , Jorge A. Leon

In the framework of a Frenkel-Kontorova-like model, we address the robustness of the superlubricity phenomenon in an edge-driven system at large scales, highlighting the dynamical mechanisms leading to its failure due to the slider…

Statistical Mechanics · Physics 2015-11-17 Andrea Benassi , Ming Ma , Michael Urbakh , Andrea Vanossi

The transient response of model hard sphere glasses is examined during the application of steady rate start-up shear using Brownian Dynamics (BD) simulations, experimental rheology and confocal microscopy. With increasing strain the glass…

The scaled Brownian motion (SBM) is regarded as one of the paradigmatic random processes, featuring the anomalous diffusion property characterized by the diffusion exponent. It is a Gaussian, self-similar process with independent…

Probability · Mathematics 2024-04-29 Hubert Woszczek , Aleksei Chechkin , Agnieszka Wylomanska

Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastic block (cylinder) with a ${\rm cos} (q_0 x)$ surface height profile is sliding in adhesive contact on a rigid flat…

Soft Condensed Matter · Physics 2020-10-21 J. Wang , A. Tiwari , I. M. Sivebaek , B. N. J. Persson

We study the Brownian dynamics and linear response of a particle with inertia moving in a 2-dimensional helical landscape imprinted on a cylindrical surface. In the harmonic well approximation, the deterministic motion separates into free…

Statistical Mechanics · Physics 2026-05-25 Debankur Bhattacharyya , Abraham Nitzan

This note concerns distributions of Skew Brownian motion with dry friction and its occupation time. These distributions were obtained in [2] by using the Laplace transform and joint characteristic functions. We provide an alternative…

Probability · Mathematics 2022-05-04 Alexander Gairat , Vadim Shcherbakov

We consider an overdamped Brownian particle, exposed to a two-dimensional, square lattice potential and a rectangular ac-drive. Depending on the driving amplitude, the linear response to a weak dc-force along a lattice symmetry axis consist…

Statistical Mechanics · Physics 2009-11-13 D. Speer , R. Eichhorn , P. Reimann

We perform an extensive analysis of passive as well as active micro-heat engines with different single-particle stochastic models. Using stochastic thermodynamics we calculate thermodynamic work, heat, entropy production and efficiency of…

Statistical Mechanics · Physics 2022-08-17 Rita Majumdar , Arnab Saha , Rahul Marathe

Stochastic process exhibiting power-law slopes in the frequency domain are frequently well modeled by fractional Brownian motion (fBm). In particular, the spectral slope at high frequencies is associated with the degree of small-scale…

Methodology · Statistics 2017-09-13 J. M. Lilly , A. M. Sykulski , J. J Early , S. C. Olhede

We analyze \emph{fractional Brownian motion} and \emph{scaled Brownian motion} on the two-dimensional sphere $\mathbb{S}^{2}$. We find that the intrinsic long time correlations that characterize fractional Brownian motion collude with the…

Statistical Mechanics · Physics 2024-01-08 Adriano Valdés Gómez , Francisco J. Sevilla

We investigate the effective friction encountered by a mass sliding on a granular layer as a function of bed thickness and boundary roughness conditions. The observed friction has minima for a small number of layers before it increases and…

Soft Condensed Matter · Physics 2009-11-11 Saloome Siavoshi , Ashish V. Orpe , Arshad Kudrolli

We perform Brownian dynamics simulations of semiflexible colloidal sheets with hydrodynamic interactions and thermal fluctuations in shear flow. As a function of the ratio of bending rigidity to shear energy (a dimensionless quantity we…

Soft Condensed Matter · Physics 2021-10-22 Kevin S. Silmore , Michael S. Strano , James W. Swan

Using the gauge/gravity correspondence, we study the dynamics of a heavy quark in two strongly-coupled systems at finite temperature: Super-Yang-Mills in the presence of a magnetic field and non-commutative Super-Yang-Mills. In the former,…

High Energy Physics - Theory · Physics 2012-12-13 Willy Fischler , Juan F. Pedraza , Walter Tangarife Garcia

Onsager symmetry implies that a Brownian motor, driven by a temperature gradient, will also perform a refrigerator function upon loading. We analytically calculate the corresponding heat flux for an exactly solvable microscopic model and…

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , R. Kawai

Hydrocarbon films confined between smooth mica surfaces have long provided an experimental playground for model studies of structure and dynamics of confined liquids. However fundamental questions regarding the phase behavior and shear…

Soft Condensed Matter · Physics 2019-12-11 Alexander M. Smith , James E. Hallett , Susan Perkin

Molecular dynamic (MD) simulations are applied to investigate the dependency of the kinetic friction coefficient on the temperature at the nano-scale. The system is comprised of an aluminum spherical particle consisting of 32000 atoms in an…

Data Analysis, Statistics and Probability · Physics 2023-11-08 Rasoul Kheiri , Alexey A Tsukanov

Two-dimensional (2D) crystalline colloidal monolayers sliding over a laser-induced optical lattice recently emerged as a new tool for the study of friction between ideal crystal surfaces. Here we focus in particular on static friction, the…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Davide Mandelli , Andrea Vanossi , Michele Invernizzi , S. V. Paronuzzi Ticco , Nicola Manini , Erio Tosatti