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Langevin diffusion is a commonly used tool for sampling from a given distribution. In this work, we establish that when the target density $p^*$ is such that $\log p^*$ is $L$ smooth and $m$ strongly convex, discrete Langevin diffusion…

Machine Learning · Statistics 2017-11-02 Xiang Cheng , Peter Bartlett

Field-theoretical method is proposed, that yields analytical expression for lateral pressure distribution across hydrophobic core of a bilayer lipid membrane. Lipid molecule, repelling entropicaly surrounding neighbors, is modeled as a…

Soft Condensed Matter · Physics 2007-05-23 Sergei I. Mukhin , Svetlana V. Baoukina

Starting from a Langevin description of active particles that move with constant speed in infinite two-dimensional space and its corresponding Fokker-Planck equation, we develop a systematic method that allows us to obtain the…

Statistical Mechanics · Physics 2014-05-06 Francisco J. Sevilla , Luis A. Gomez Nava

In this work we study the diffusion mechanisms in lithium disilicate melt using molecular dynamics simulation, which has an edge over other simulation methods because it can track down actual atomic rearrangements in materials once a…

Materials Science · Physics 2014-05-30 Luis G. V. Gonçalves , José P. Rino

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling methods typically rely on proximal mappings or smooth…

Numerical Analysis · Mathematics 2026-05-05 Ivan Cheltsov , Federico Cornalba , Clarice Poon , Tony Shardlow

We introduce a microscopically realistic model of a physical gel and use computer simulations to study its static and dynamic properties at thermal equilibrium. The phase diagram comprises a sol phase, a coexistence region ending at a…

Soft Condensed Matter · Physics 2015-06-25 Pablo I. Hurtado , Ludovic Berthier , Walter Kob

The analysis of the dynamics of tracer particles in a complex bath can provide valuable information about the microscopic behaviour of the bath. In this work, we study the dynamics of a forced tracer in a colloidal bath by means of Langevin…

Soft Condensed Matter · Physics 2020-06-24 Francisco Orts , Gloria Ortega , Ester M. Garzon , Matthias Fuchs , Antonio M. Puertas

We analyze the dynamics of an active tracer particle embedded in a thermal lattice gas. All particles are subject to exclusion up to third nearest neighbors on the square lattice, which leads to slow dynamics at high densities. For the case…

Soft Condensed Matter · Physics 2019-04-15 Rakesh Chatterjee , Nimrod Segall , Carl Merrigan , Kabir Ramola , Bulbul Chakraborty , Yair Shokef

A model, based on Gribov's Reggeon calculus, is proposed and applied to processes of soft diffraction at high energies. It is shown that by accounting for absorptive corrections for all legs of triple-Regge and loop diagrams a good…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. B. Kaidalov , M. G. Poghosyan

We use Langevin dynamics simulations to study dynamical behaviour of a dense planar layer of active semi-flexible filaments. Using the strength of active force and the thermal persistence length as parameters, we map a detailed phase…

Soft Condensed Matter · Physics 2018-02-21 K. R. Prathyusha , Silke Henkes , Rastko Sknepnek

The linear response of an isolated, homogeneous granular fluid to small spatial perturbations is studied by methods of non-equilibrium statistical mechanics. The long wavelength linear hydrodynamic equations are obtained, with formally…

Soft Condensed Matter · Physics 2009-11-11 James Dufty , Aparna Baskaran , J. Javier Brey

We study the linear stability of elastic collapsible tubes conveying fluid, when the equilibrium configuration of the tube is helical. A particular case of such tubes, commonly encountered in applications, is represented by quarter- or…

Chaotic Dynamics · Physics 2018-03-14 François Gay-Balmaz , Dimitri Georgievskii , Vakhtang Putkaradze

We perform molecular dynamics simulations using the extended simple point charge SPC/E water model in order to investigate the dynamical behavior of supercooled-stretched water. We focus on the behavior of the translational diffusion…

Statistical Mechanics · Physics 2007-05-23 P. A. Netz , F. Starr , M. C. Barbosa , H. Eugene Stanley

The paper deals with the description of particle deposition on walls from a turbulent flow over a large range of particle diameter, using a Langevin PDF model. The first aim of the work is to test how the present Langevin model is able to…

Fluid Dynamics · Physics 2008-06-27 Sergio Chibbaro , Jean-Pierre Minier

The swimming properties of an E. coli-type model bacterium are investigated by mesoscale hy- drodynamic simulations, combining molecular dynamics simulations of the bacterium with the multiparticle particle collision dynamics method for the…

Soft Condensed Matter · Physics 2016-08-23 Jinglei Hu , Mingcheng Yang , Gerhard Gompper , Roland G. Winkler

We present a position Langevin equation for overdamped particle motion on rough two-dimensional surfaces. A Brownian Dynamics algorithm is suggested to evolve this equation numerically, allowing for the prediction of effective (projected)…

Soft Condensed Matter · Physics 2009-11-13 Ali Naji , Frank L. H. Brown

Various bacterial strains (e.g. strains belonging to the genera Bacillus, Paenibacillus, Serratia and Salmonella) exhibit colonial branching patterns during growth on poor semi-solid substrates. These patterns reflect the bacterial…

Condensed Matter · Physics 2009-10-31 Yonathan Kozlovsky , Inon Cohen , Ido Golding , Eshel Ben-Jacob

In the wake of previous studies on the rattling-and-jumping diffusion in smectic liquid crystal phases of colloidal rods, we analyze here for the first time the heterogeneous dynamics in columnar phases. More specifically, we perform…

Soft Condensed Matter · Physics 2015-05-19 Simone Belli , Alessandro Patti , René van Roij , Marjolein Dijkstra

Making use of the poroelastic theory for hydrated polymeric matrices, the ultrasound (US) propagation in a gel medium filled by spherical cells is studied . The model describes the connection between the poroelastic structure of living…

Soft Condensed Matter · Physics 2012-10-10 Piero Chiarelli , Bruna Vinci , Antonio Lanatá , Clara Lagomarsini , Simone Chiarelli