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Asymptotic multiple scale homogenisation allows to determine the effective behaviour of a porous medium by starting from the pore-scale description, when there is a large separation between the pore-scale and the macroscopic scale. When the…

经典物理 · 物理学 2019-03-06 Pascale Royer

Solvation is a notoriously difficult and nagging problem for the rigorous theoretical description of chemistry in the liquid phase. Successes and failures of various approaches ranging from implicit solvation modeling through dielectric…

化学物理 · 物理学 2020-04-01 Gregor N. Simm , Paul L. Türtscher , Markus Reiher

We consider a sequential cascade of molecular first-reaction events towards a terminal reaction centre in which each reaction step is controlled by diffusive motion of the particles. The model studied here represents a typical reaction…

生物物理 · 物理学 2021-10-13 Denis S. Grebenkov , Ralf Metzler , Gleb Oshanin

We study the vicinal surface of the restricted solid-on-solid model coupled with the Langmuir adsorbates which we regard as two-dimensional lattice gas without lateral interaction. The effect of the vapor pressure of the adsorbates in the…

统计力学 · 物理学 2009-11-07 Noriko Akutsu , Yasuhiro Akutsu , Takao Yamamoto

We investigate adsorption of a gas on the flat surface of a solid deformable adsorbent taking into account thermal fluctuations and analyze in detail the effect of thermal fluctuations on the adsorbent deformation in adsorption. The…

材料科学 · 物理学 2017-02-13 A. S. Usenko

Soft particles such as microgels and core-shell particles can undergo significant and anisotropic deformations when adsorbed to a liquid interface. This, in turn, leads to a complex phase behavior upon compression. Here we develop a…

Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an…

数值分析 · 数学 2020-07-13 Manuela Bastidas , Carina Bringedal , Iuliu Sorin Pop

In this work we study analytically and numerically the transport properties of non-interacting active particles moving on a $d$-dimensional disordered media. The disorder in the space is modeled by means of a set of non-overlapping…

统计力学 · 物理学 2022-07-20 R. Salgado-García

Data assimilation (DA) addresses the problem of sequentially estimating the state of a dynamical system from noisy and incomplete observations. In this work, we employ a diffusion model as a world model to simulate and predict the system's…

机器学习 · 统计学 2026-05-26 Lifu Wei , Yinuo Ren , Naichen Shi , Yiping Lu

We introduce Adjoint Sampling, a highly scalable and efficient algorithm for learning diffusion processes that sample from unnormalized densities, or energy functions. It is the first on-policy approach that allows significantly more…

The dynamics of desorption from a submonolayer of adsorbed atoms or ions are significantly influenced by the absence or presence of lateral diffusion of the adsorbed particles. When diffusion is present, the adsorbate configuration is…

化学物理 · 物理学 2013-10-18 Tjipto Juwono , Per Arne Rikvold

It is shown that particles undergoing discrete-time jumps in 3D, starting at a distance r0 from the center of an adsorbing sphere of radius R, are captured with probability (R - c sigma)/r0 for r0 much greater than R, where c is related to…

无序系统与神经网络 · 物理学 2015-05-13 Robert M. Ziff , Satya N. Majumdar , Alain Comtet

Accurate theoretical methods are needed to correctly describe adsorption on solid surfaces or in porous materials. The random phase approximation with singles corrections scheme (RPA) and the second order M{\o}ller-Plesset perturbation…

化学物理 · 物理学 2020-01-08 Jiří Klimeš , David P. Tew

Here, an approach in terms of shot noise is proposed to study and characterize surface diffusion and low vibrational motion when having interacting adsorbates on surfaces. In what we call statistical limit, that is, at long times and high…

统计力学 · 物理学 2007-06-13 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

We propose a framework for describing the dynamics associated with the adsorption of small molecules to liquid-vapor interfaces, using an intermediate resolution between traditional continuum theories that are bereft of molecular detail and…

化学物理 · 物理学 2024-01-25 Kritanjan Polley , Kevin R. Wilson , David T. Limmer

We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The…

统计力学 · 物理学 2015-05-27 O. Bénichou , D. S. Grebenkov , P. E. Levitz , C. Loverdo , R. Voituriez

We introduce a particle-based simulation method for granular material in interactive frame rates. We divide the simulation into two decoupled steps. In the first step, a relatively small number of particles is accurately simulated with a…

图形学 · 计算机科学 2023-08-04 Alexander Sommer , Ulrich Schwanecke , Elmar Schömer

Solid-On-Solid (SOS) computer simulations are employed to investigate the sublimation of surfaces. We distinguish three sublimation regimes: layer-by-layer sublimation, free step flow and hindered step flow. The sublimation regime is…

凝聚态物理 · 物理学 2009-10-30 Stefan Schinzer , Wolfgang Kinzel

Convenient variational formula for collective diffusion of many particles adsorbed at lattices of arbitrary geometry is formulated. The approach allows to find the expressions for the diffusion coefficient for any value of the system's…

统计力学 · 物理学 2018-07-04 Marcin Mińkowski , Magdalena A. Załuska--Kotur

The study of dispersion of solid wastes through a porous media is important in order to estimate the ecological impact that, in particular, a radioactive solid waste could produce when it spreads in the soil. There are some models available…

化学物理 · 物理学 2012-12-05 Estela Mayoral , Eduardo De La Cruz , Luis Carlos Longoria , Eduardo Nahmad-Achar