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Fractional, anomalous diffusion in space-periodic potentials is investigated. The analytical solution for the effective, fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two…

统计力学 · 物理学 2021-02-02 E. Heinsalu , M. Patriarca , I. Goychuk , P. Hanggi

In a fixed-node diffusion Monte Carlo calculation of the total energy of jellium slabs, Acioli and Ceperley [Phys. Rev. B {\bf 54}, 17199 (1996)] reported jellium surface energies that at low electron densities were significantly higher…

材料科学 · 物理学 2009-11-10 J. M. Pitarke

We formulate the fractional Ricci flow theory for (pseudo) Riemannian geometries enabled with nonholonomic distributions defining fractional integro-differential structures, for non-integer dimensions. There are constructed fractional…

微分几何 · 数学 2012-08-13 Sergiu I. Vacaru

We develop a robust Bayesian functional principal component analysis (RB-FPCA) method that utilizes the skew elliptical class of distributions to model functional data, which are observed over a continuous domain. This approach effectively…

统计方法学 · 统计学 2025-04-15 Jiarui Zhang , Jiguo Cao , Liangliang Wang

A multi-factor extension of the Hobson and Rogers (HR) model, incorporating a quadratic variance function (QHR model), is proposed and analysed. The QHR model allows for greater flexibility in defining the moving average filter while…

数理金融 · 定量金融 2025-08-13 Paolo Foschi

We report ab initio density functional calculations of the structural and magnetic properties, and the electronic structure of CrAs. To simulate the observed pressure-driven experimental results, we perform our analysis for different…

强关联电子 · 物理学 2017-10-30 Carmine Autieri , Canio Noce

We study, using Monte Carlo simulations, the cavity and the bridge functions of various hard sphere fluids: one component system, equimolar additive and non additive binary mixtures. In particular, we numerically check the assumption of…

统计力学 · 物理学 2007-05-23 R. Fantoni , G. Pastore

We use supervised machine learning together with the concepts of classical density functional theory to investigate the effects of interparticle attraction on the pair structure, thermodynamics, bulk liquid-gas coexistence, and associated…

软凝聚态物质 · 物理学 2025-01-29 Florian Sammüller , Matthias Schmidt , Robert Evans

We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence…

数值分析 · 数学 2013-06-17 François Bouchut , Sébastien Boyaval

We show how one can construct \alert{a simple} exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation (GLDA) functional uses only…

化学物理 · 物理学 2017-05-01 Pierre-François Loos

Atomistic simulations of the experimental W L$_3$-edge extended X-ray absorption fine structure (EXAFS) of bcc tungsten at T = 300 K were performed using classical molecular dynamics (MD) and reverse Monte Carlo (RMC) methods. The MD-EXAFS…

材料科学 · 物理学 2018-02-27 Inga Jonane , Andris Anspoks , Alexei Kuzmin

Solid-liquid friction plays a key role in nanofluidic systems. Yet, despite decades of method development to quantify solid-liquid friction using molecular dynamics (MD) simulations, an accurate and widely applicable method is still…

化学物理 · 物理学 2023-07-26 Haruki Oga , Takeshi Omori , Laurent Joly , Yasutaka Yamaguchi

Using molecular-dynamics simulation, we have calculated the interfacial free energy, \gamma, between a hard-sphere fluid and hard spherical and cylindrical colloidal particles, as functions of the particle radius R and the fluid packing…

统计力学 · 物理学 2014-12-23 Brian B. Laird , Ruslan L. Davidchack

The self-energy-functional approach (SFA) is discussed in the context of different variational principles for strongly correlated electron systems. Formal analogies between static and dynamical variational approaches, different types of…

强关联电子 · 物理学 2015-06-25 Michael Potthoff

Measuring the rheology of liquids typically requires precise control over shear rates and stresses. Here, we describe an alternative route for predicting the characteristic features of a power-law fluid by simply observing the capillary…

流体动力学 · 物理学 2025-07-11 Marcel Moura , Vanessa Kern , Knut Jørgen Måløy , Andreas Carlson , Eirik G. Flekkøy

Proximal gamma-ray spectroscopy recently emerged as a promising technique for non-stop monitoring of soil water content with possible applications in the field of precision farming. The potentialities of the method are investigated by means…

Certain geological features have been interpreted as evidence of channelized magma flow in the mantle, which is a compacting porous medium. Aharonov et al. (1995) developed a simple model of reactive porous flow and numerically analysed its…

流体动力学 · 物理学 2019-04-12 David W. Rees Jones , Richard F. Katz

This work is devoted to functional ARMA$(p, q)$ processes and approximating vector models based on functional PCA in the context of prediction. After deriving sufficient conditions for the existence of a stationary solution to both the…

统计方法学 · 统计学 2023-12-12 J. Klepsch , C. Klüppelberg , T. Wei

Phase field crystal (PFC) theory, extensively used for modelling the structure of solids, can be derived from dynamical density functional theory (DDFT) via a sequence of approximations. Standard derivations neglect a term of form…

软凝聚态物质 · 物理学 2019-09-04 Andrew J. Archer , Daniel J. Ratliff , Alastair M. Rucklidge , Priya Subramanian

The radial basis function (RBF) and quasi Monte Carlo (QMC) methods are two very promising schemes to handle high-dimension problems with complex and moving boundary geometry due to the fact that they are independent of dimensionality and…

数值分析 · 数学 2025-10-20 W. Chen , J. He
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