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In this comprehensive and detailed study, vacancy-mediated self-diffusion of A- and B-elements in 'triple-defect' B2-ordered ASB(1-S) binaries is simulated by means of a kinetic Monte Carlo (KMC) algorithm involving atomic jumps to…

材料科学 · 物理学 2019-10-16 Jan Betlej , Piotr Sowa , Rafal Kozubski , Graeme E. Murch , Irina V. Belova

In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

生物物理 · 物理学 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

Diffusion models generate high-quality images but require dozens of forward passes. We introduce Distribution Matching Distillation (DMD), a procedure to transform a diffusion model into a one-step image generator with minimal impact on…

计算机视觉与模式识别 · 计算机科学 2024-10-08 Tianwei Yin , Michaël Gharbi , Richard Zhang , Eli Shechtman , Fredo Durand , William T. Freeman , Taesung Park

Back-diffusion is the phenomenon by which random walkers revisit binding sites on a lattice. This phenomenon must occur on interstellar dust particles, slowing down dust-grain reactions, but it is not accounted for by standard rate-equation…

星系天体物理 · 物理学 2018-09-12 Eric R. Willis , Robin T. Garrod

We introduce a new generative model that combines latent diffusion with persistent homology to create 3D shapes with high diversity, with a special emphasis on their topological characteristics. Our method involves representing 3D shapes as…

计算机视觉与模式识别 · 计算机科学 2024-02-01 Jiangbei Hu , Ben Fei , Baixin Xu , Fei Hou , Weidong Yang , Shengfa Wang , Na Lei , Chen Qian , Ying He

The influence of lateral adsorbate diffusion on the dynamics of the first-order phase transition in a two-dimensional Ising lattice gas with attractive nearest-neighbor interactions is investigated by means of kinetic Monte Carlo…

材料科学 · 物理学 2007-05-23 Stefan Frank , Per Arne Rikvold

The simulation of the metabolism in mammalian cells becomes a severe problem if spatial distributions must be taken into account. Especially the cytoplasm has a very complex geometric structure which cannot be handled by standard…

数值分析 · 数学 2010-03-01 Michael Hanke , Marry-Chriz Cabauatan-Villanueva

In this paper, we propose an efficient, fast, and versatile distillation method to accelerate the generation of pre-trained diffusion models: Flash Diffusion. The method reaches state-of-the-art performances in terms of FID and CLIP-Score…

计算机视觉与模式识别 · 计算机科学 2024-12-19 Clément Chadebec , Onur Tasar , Eyal Benaroche , Benjamin Aubin

Many modern production and measurement facilities incorporate multiphase systems at low pressures. In this region of flows at small, non-zero Knudsen- and low Mach numbers the classical mesoscopic Monte Carlo methods become increasingly…

流体动力学 · 物理学 2015-09-10 S. Schmieschek , D. K. N. Sinz , F. Keller , U. Nieken , J. Harting

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

软凝聚态物质 · 物理学 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

We show that reaction-diffusion processes in three dimensions can be efficiently handled by event-driven numerical simulations, based on statistical waiting times (Gillespie's Monte-Carlo method). The algorithm is efficient for dilute…

统计力学 · 物理学 2024-12-11 Vincent Rossetto

Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual media applications. In particular, diffusion methods have enabled new approaches to data…

图像与视频处理 · 电气工程与系统科学 2026-01-28 Yibo Yang , Stephan Mandt

Molecular conformation generation, a critical aspect of computational chemistry, involves producing the three-dimensional conformer geometry for a given molecule. Generating molecular conformation via diffusion requires learning to reverse…

计算物理 · 物理学 2023-10-10 Zihan Zhou , Ruiying Liu , Chaolong Ying , Ruimao Zhang , Tianshu Yu

Path integral Monte Carlo (PIMC) simulations are used to calculate the momentum distribution of the homogeneous electron gas at finite temperature. This is done by calculating the off-diagonal elements of the real-space density matrix,…

统计力学 · 物理学 2007-05-23 B. Militzer , E. L. Pollock , D. M. Ceperley

In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, as well as…

流体动力学 · 物理学 2025-01-16 Guillermo Federico Umbricht , Domingo Alberto Tarzia , Diana Rubio

Recently an exact solution has been found (M.Henkel and H.Hinrichsen, cond-mat/0010062) for the 1d coagulation production process: 2A ->A, A0A->3A with equal diffusion and coagulation rates. This model evolves into the inactive phase…

统计力学 · 物理学 2009-10-31 Geza Odor

One of the main drawback of diffusion models is the slow inference time for image generation. Among the most successful approaches to addressing this problem are distillation methods. However, these methods require considerable…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Senmao Li , Taihang Hu , Joost van de Weijer , Fahad Shahbaz Khan , Tao Liu , Linxuan Li , Shiqi Yang , Yaxing Wang , Ming-Ming Cheng , Jian Yang

Reaction-diffusion systems have been proposed as a model for pattern formation and morphogenesis. The Fickian diffusion typically employed in these constructions model the Brownian motion of particles. The biological and chemical elements…

定量方法 · 定量生物学 2023-11-09 Siddhartha Srivastava , Krishna Garikipati

This article presents, for the first time, the application of diffusion models for generating jet images corresponding to proton-proton collision events at the Large Hadron Collider (LHC). The kinematic variables of quark, gluon, W-boson,…

高能物理 - 唯象学 · 物理学 2025-08-04 Victor D. Martinez , Vidya Manian , Sudhir Malik