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We present an analytical closed form expression, which gives a good approximate propagator for diffusion on the sphere. Our formula is the spherical counterpart of the Gaussian propagator for diffusion on the plane. While the analytical…

统计力学 · 物理学 2016-10-05 Abhijit Ghosh , Joseph Samuel , Supurna Sinha

The dynamic emulation of non-linear deterministic computer codes where the output is a time series, possibly multivariate, is examined. Such computer models simulate the evolution of some real-world phenomenon over time, for example models…

机器学习 · 统计学 2022-03-22 Hossein Mohammadi , Peter Challenor , Marc Goodfellow

The results of Monte Carlo simulation of adsorption and wetting behaviour of a highly non-additive symmetric mixture at selective walls is discussed. We have concentrated on the interplay between the surface induced demixing in the adsorbed…

软凝聚态物质 · 物理学 2018-06-27 A. Patrykiejew

The melting point of a material constitutes a pivotal property with profound implications across various disciplines of science, engineering, and technology. Recent advancements in machine learning potentials have revolutionized the field,…

材料科学 · 物理学 2024-09-02 Fu-Zhi Dai , Si-Hao Yuan , Yan-Bo Hao , Xin-Fu Gu , Shipeng Zhu , Jidong Hu , Yifen Xu

Estimation of Gaussian graphical models is important in natural science when modeling the statistical relationships between variables in the form of a graph. The sparsity and clustering structure of the concentration matrix is enforced to…

最优化与控制 · 数学 2020-04-20 Meixia Lin , Defeng Sun , Kim-Chuan Toh , Chengjing Wang

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

统计方法学 · 统计学 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

Among the available perturbative approaches in quantum field theory, heat kernel techniques provide a powerful and geometrically transparent framework for computing effective actions in nontrivial backgrounds. In this work, resummation…

高能物理 - 理论 · 物理学 2025-11-06 S. A. Franchino-Viñas , C. García-Pérez , F. D. Mazzitelli , S. Pla , V. Vitagliano

We present a learning-based system for rapid mass-scale material synthesis that is useful for novice and expert users alike. The user preferences are learned via Gaussian Process Regression and can be easily sampled for new recommendations.…

机器学习 · 计算机科学 2018-08-07 Károly Zsolnai-Fehér , Peter Wonka , Michael Wimmer

In this paper, we study the problem of adaptive estimation of the spectral density of a stationary Gaussian process. For this purpose, we consider a wavelet-based method which combines the ideas of wavelet approximation and estimation by…

We have generalized the Nanbu collision algorithm to accommodate arbitrary collision rates, enabling accurate kinetic modeling of short range particle interactions in non-Spitzer systems. With this extension, we explore the effect of…

等离子体物理 · 物理学 2017-09-13 Alex M. Russell , Douglass W. Schumacher

Neural Radiance Fields (NeRF) enables 3D scene reconstruction from several 2D images but incurs high rendering latency via its point-sampling design. 3D Gaussian Splatting (3DGS) improves on NeRF with explicit scene representation and an…

硬件体系结构 · 计算机科学 2026-04-07 Haomin Li , Bowen Zhu , Fangxin Liu , Zongwu Wang , Xinran Liang , Li Jiang , Haibing Guan

Temperature estimation, known as thermometry, is a critical sensing task for physical systems operating in the quantum regime. Indeed, thermal fluctuations can significantly degrade quantum coherence. Therefore, accurately determining the…

We present a detailed analysis of the bounds on the integration step in Discrete Element Method (DEM) for simulating collisions and shearing of granular assemblies. We show that, in the numerical scheme, the upper limit for the integration…

材料科学 · 物理学 2013-01-01 Andrés A. Peña , Pedro G. Lind , Sean McNamara , Hans J. Herrmann

The wetting of solid surfaces by fluids is a problem of great practical importance that has been extensively studied over the years. Most often, the experimental work has involved measurements of the contact angle made by a liquid on the…

统计力学 · 物理学 2007-05-23 S. Curtarolo , M. J. Bojan , G. Stan , M. W. Cole , W. A. Steele

We present a thermodynamic theory of weakly excited two-dimensional granular systems from the view point of elementary excitations of spinless Fermion systems. We introduce a global temperature T that is associated with the acceleration…

材料科学 · 物理学 2009-10-30 Hisao Hayakawa , Daniel C. Hong

Thanks to modern manufacturing technologies, heterogeneous materials with complex inner structures (e.g., foams) can be easily produced. However, their utilization is not straightforward, as the classical constitutive laws are not…

数值分析 · 数学 2022-12-20 Balázs Tóth , Zsombor Molnár , Róbert Kovács

Thermal energy agitates all matter and its competition with ordering tendencies is one of the most fundamental organizing principles in the physical world. Thus, it is natural to enquire if an effective temperature could result when…

统计力学 · 物理学 2018-09-10 Ming Han , Jing Yan , Steve Granick , Erik Luijten

The numerical simulation of granular systems of even moderate size is a challenging computational problem. In most investigations, either Molecular Dynamics or Event-driven Molecular Dynamics is applied. Here we show that in certain cases,…

软凝聚态物质 · 物理学 2007-05-23 Thomas Schwager , Thorsten Poeschel

Automatic scoring of student responses enhances efficiency in education, but deploying a separate neural network for each task increases storage demands, maintenance efforts, and redundant computations. To address these challenges, this…

计算与语言 · 计算机科学 2025-03-14 Luyang Fang , Ehsan Latif , Haoran Lu , Yifan Zhou , Ping Ma , Xiaoming Zhai

We report the first wholly non-empirical generalized gradient approximation, non-interacting free energy functional for orbital-free density functional theory and use that new functional to provide forces for finite-temperature molecular…

材料科学 · 物理学 2013-11-26 Valentin V. Karasiev , Debajit Chakraborty , Olga A. Shukruto , S. B. Trickey