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Sampling viable 3D structures (e.g., molecules and point clouds) with SE(3)-invariance using diffusion-based models proved promising in a variety of real-world applications, wherein SE(3)-invariant properties can be naturally characterized…

机器学习 · 计算机科学 2024-03-05 Zihan Zhou , Ruiying Liu , Jiachen Zheng , Xiaoxue Wang , Tianshu Yu

Chromosomes in the nucleus assemble into hierarchies of 3D domains that, during interphase, share essential features with a knot-free condensed polymer known as the fractal globule (FG). The FG-like chromosome likely affects macromolecular…

生物物理 · 物理学 2022-02-02 Yeonghoon Kim , Ludvig Lizana , Jae-Hyung Jeon

Many theoretical works have attempted to coarse grain gene expression at the level of transcription and translation via frameworks based on exclusion processes. Usually in these models the three-dimensional conformation of the substrates…

统计力学 · 物理学 2019-05-22 Lucas D. Fernandes , Luca Ciandrini

We present a framework for systems in which diffusion-advection transport of a tracer substance in a mobile zone is interrupted by trapping in an immobile zone. Our model unifies different model approaches based on distributed-order…

统计力学 · 物理学 2022-04-05 T. J. Doerries , A. V. Chechkin , R. Schumer , R. Metzler

This study introduces a novel method to investigate in-situ light transport within optically thick ensembles of cold atoms, exploiting the internal structure of alkaline-earth metals. A method for creating an optical excitation at the…

Stochastic models of diffusion are routinely used to study dispersal of populations, including populations of animals, plants, seeds and cells. Advances in imaging and field measurement technologies mean that data are often collected across…

元胞自动机与格子气 · 物理学 2026-05-18 Matthew J Simpson , Michael J Plank

We review some exact results for the motion of a tagged particle in simple models. Then, we study the density dependence of the self diffusion coefficient, $D_N(\rho)$, in lattice systems with simple symmetric exclusion in which the…

统计力学 · 物理学 2015-06-25 A. Asselah , R. Brito , J. L. Lebowitz

We present Brownian dynamics simulations of the facilitated diffusion of a protein, modelled as a sphere with a binding site on its surface, along DNA, modelled as a semi-flexible polymer. We consider both the effect of DNA organisation in…

生物物理 · 物理学 2012-12-10 C. A. Brackley , M. E. Cates , D. Marenduzzo

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

统计力学 · 物理学 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

Diffusion of symmetric diblock copolymer chains in macroscopically oriented lamellar block copolymers are studied in a molecular dynamics simulation. Results for diffusion constant both parallel $D_\parallel$ and perpendicular $D_\perp$ to…

软凝聚态物质 · 物理学 2008-02-03 Michael Murat , Gary S. Grest , Kurt Kremer

Deviations from the perfect atomic arrangements in crystals play an important role in affecting their properties. Similarly, diffusion of such deviations is behind many microstructural changes in solids. However, observation of point defect…

材料科学 · 物理学 2014-07-28 Jani Kotakoski , Clemens Mangler , Jannik C. Meyer

Recent advancements in the ability to construct three-dimensional (3D) tissues and organoids from stem cells and biomaterials have not only opened abundant new research avenues in disease modeling and regenerative medicine but also have…

组织与器官 · 定量生物学 2017-07-27 Richard J. McMurtrey

In this work we study the spreading dynamics of tiny liquid droplets on solid surfaces in the case where the ends of the molecules feel different interactions with respect to the surface. We consider a simple model of dimers and short…

凝聚态物理 · 物理学 2009-10-28 M. Haataja , J. A. Nieminen , T. Ala-Nissila

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials,…

统计力学 · 物理学 2009-11-13 C. Dotti , A. Gambassi , M. N. Popescu , S. Dietrich

The geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question readily accessible to atomic systems is related…

量子气体 · 物理学 2016-05-02 Mekena Metcalf , Gia-Wei Chern , Massimiliano Di Ventra , Chih-Chun Chien

The role of memory and cognition in the movement of individuals (e.g. animals) within a population, is thought to play an important role in population dispersal. In response, there has been increasing interest in incorporating spatial…

种群与进化 · 定量生物学 2024-11-15 Yifei Li , Matthew J Simpson , Chuncheng Wang

We develop a version of the vacancy mediated tracer diffusion model, which follows the properties of the physical system of In atoms diffusing within the top layer of Cu(001) terraces. This model differs from the classical tracer diffusion…

统计力学 · 物理学 2007-05-23 E. Somfai , R. van Gastel , S. B. van Albada , W. van Saarloos , J. W. M. Frenken

We provide a generic scheme to separate the particles of a mixture by their physical properties like mass, friction or size. The scheme employs a periodically shaken two dimensional dissipative lattice and hinges on a simultaneous transport…

混沌动力学 · 物理学 2018-05-30 Aritra K. Mukhopadhyay , Benno Liebchen , Peter Schmelcher

Random walks are studied on disordered cellular networks in 2-and 3-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in term of the structural properties of the cellular system. The…

无序系统与神经网络 · 物理学 2009-10-28 Tomaso Aste

Rare long distance dispersal events are thought to have a disproportionate impact on the spread of invasive species. Modelling using integrodifference equations suggests that, when long distance contacts are represented by a fat-tailed…

种群与进化 · 定量生物学 2015-12-01 Guy S. Jacobs , Tim J. Sluckin