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This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

Statistical Mechanics · Physics 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

Transport phenomena play a key role in a variety of application domains, and efficient simulation of these dynamics remains an outstanding challenge. While quantum computers offer potential for significant speedups, existing algorithms…

Quantum Physics · Physics 2026-02-04 Joseph Li , Gengzhi Yang , Jiaqi Leng , Xiaodi Wu

Simulating long-range interactions remains a significant challenge for molecular machine learning potentials due to the need to accurately capture interactions over large spatial regions. In this work, we introduce FieldMACE, an extension…

Computational Physics · Physics 2025-03-03 Rhyan Barrett , Johannes C. B. Dietschreit , Julia Westermayr

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

The diffusion model has demonstrated promising results in image generation, recently becoming mainstream and representing a notable advancement for many generative modeling tasks. Prior applications of the diffusion model for both fast…

Instrumentation and Detectors · Physics 2025-06-18 Cheng Jiang , Sitian Qian , Huilin Qu

The article describes the diffusion approximation and the method of its use for evaluation of the effectiveness of active queue management (AQM) mechanisms. The presented model combines the approximation and simulation approaches. The…

Systems and Control · Electrical Eng. & Systems 2019-11-07 Dariusz Marek , Adam Domański , Joanna Domańska , Tadeusz Czachórski , Jerzy Klamka , Jakub Szyguła

Implementing multicomponent diffusion models in reacting-flow simulations is computationally expensive due to the challenges involved in calculating diffusion coefficients. Instead, mixture-averaged diffusion treatments are typically used…

Generating realistic human motion sequences from text descriptions is a challenging task that requires capturing the rich expressiveness of both natural language and human motion.Recent advances in diffusion models have enabled significant…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Beibei Jing , Youjia Zhang , Zikai Song , Junqing Yu , Wei Yang

The present research proposes a new memory-efficient method using diffusion models to inject turbulent inflow conditions into Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) for various flow problems. A guided diffusion…

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

This work presents a performance analysis for diffusive molecular communication with mobile transmit and receive nanomachines. To begin with, the optimal test is obtained for symbol detection at the receiver nanomachine. Subsequently,…

Information Theory · Computer Science 2017-10-04 Neeraj Varshney , Aditya K. Jagannatham , Pramod K. Varshney

The reaction-diffusion master equation (RDME) is a model that allows for efficient on-lattice simulation of spatially resolved stochastic chemical kinetics. Compared to off-lattice hard-sphere simulations with Brownian Dynamics (BD) or…

Numerical Analysis · Mathematics 2017-09-06 Stefan Hellander , Andreas Hellander , Linda Petzold

Based on our earlier works [Phys. Rev. B 75, 195127 (2007) & J. Chem. Phys. 128, 234703 (2008)], we propose a formally exact and numerically convenient approach to simulate time-dependent quantum transport from first-principles. The…

Chemical Physics · Physics 2015-05-18 Xiao Zheng , GuanHua Chen , Yan Mo , SiuKong Koo , Heng Tian , ChiYung Yam , YiJing Yan

We develop a lumped parameter model to describe and predict the mass release of (absorption from) an arbitrary shaped body of any dimension in a large environment. Through the one-to-one analogy between diffusion-dominated mass transfer…

Applied Physics · Physics 2022-02-10 Pawel Rochowski , Giuseppe Pontrelli

In a preliminary attempt to address the problem of data scarcity in physics-based machine learning, we introduce a novel methodology for data generation in physics-based simulations. Our motivation is to overcome the limitations posed by…

Fluid Dynamics · Physics 2023-06-21 Rucha Apte , Sheel Nidhan , Rishikesh Ranade , Jay Pathak

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

We report an ensemble nuclear magnetic resonance (NMR) implementation of a quantum lattice gas algorithm for the diffusion equation. The algorithm employs an array of quantum information processors sharing classical information, a novel…

Quantum Physics · Physics 2007-05-23 Marco A. Pravia , Zhiying Chen , Jeffrey Yepez , David G. Cory

Comprehending the long-timescale dynamics of protein-ligand complexes is very important for drug discovery and structural biology, but it continues to be computationally challenging for large biomolecular systems. We introduce…

Biomolecules · Quantitative Biology 2025-08-26 Rakesh Thakur , Riya Gupta

Safe trajectory planning in complex environments must balance stringent collision avoidance with real-time efficiency, which is a long-standing challenge in robotics. In this work, we present a diffusion-based trajectory planning framework…

Robotics · Computer Science 2025-11-27 Wule Mao , Zhouheng Li , Yunhao Luo , Yilun Du , Lei Xie

Dusty plasma medium turns out to be an ideal system for studying the strongly coupled behavior of matter. The large size and slow response make their dynamics suitable to be captured through simple diagnostic tools. Furthermore, as the…

Plasma Physics · Physics 2024-08-30 Aman Singh Katariya , Amita Das , Animesh Sharma , Bibhuti Bhushan Sahu