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Accurate free-energy estimation is essential in molecular simulation, yet the periodic boundary conditions (PBC) commonly used in computer simulations have rarely been explicitly exploited. Equilibrium methods such as umbrella sampling,…

Statistical Mechanics · Physics 2025-11-03 Daniel Nagel , Tristan Bereau

Molecular dynamics computer simulation has been used to compute the self-diffusion coefficient, and shear viscosity of soft-sphere fluids, in which the particles interact through the soft-sphere or inverse power pair potential. The…

Soft Condensed Matter · Physics 2010-03-22 Yu. D. Fomin , V. V. Brazhkin , V. N. Ryzhov

The paper deals with regression problems, in which the nonsmooth target is assumed to switch between different operating modes. Specifically, piecewise smooth (PWS) regression considers target functions switching deterministically via a…

Machine Learning · Statistics 2018-06-14 Fabien Lauer

The micromagnetic Fokker-Planck equation is solved for a uniaxial particle in the low-temperature limit. Asymptotic series in the parameter that is the inverse barrier height-to-temperature ratio are derived. With the aid of these series,…

Statistical Mechanics · Physics 2009-11-07 Yuriy L. Raikher , Victor I. Stepanov

This work is aimed at the derivation of reliable and efficient a posteriori error estimates for convection-dominated diffusion problems motivated by a linear Fokker-Planck problem appearing in computational neuroscience. We obtain…

Numerical Analysis · Computer Science 2018-05-16 Svetlana Matculevich , Monika Wolfmayr

The spin torque switching rate of an in-plane magnetized system in the presence of an applied field is derived by solving the Fokker-Planck equation. It is found that three scaling currents are necessary to describe the current dependence…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 Tomohiro Taniguchi , Hiroshi Imamura

We studied the spin torque switching of the single free layer in the thermally activated region by numerically solving the Landau-Lifshitz-Gilbert equation. We found that the temperature dependence of the switching time of the in-plane…

Mesoscale and Nanoscale Physics · Physics 2012-06-07 Tomohiro Taniguchi , Mitsutoshi Shibata , Michael Marthaler , Yasuhiro Utsumi , Hiroshi Imamura

Diffusion of particles in velocity space undergoing turbulent field was extensively studied in the problem of warm beam relaxation. Under low field intensities the diffusion is described by the Fokker-Planck equation with the diffusion…

Plasma Physics · Physics 2007-05-23 Anatoly Zagorodny , Volodymyr Zasenko , Jan Weiland

We study the magnetization-switching statistics following reversal of the applied field for three separate computational models representing the same physical system, an iron nanopillar. The primary difference between the models is the…

Materials Science · Physics 2009-02-10 S. H. Thompson , G. Brown , A. Kuhnle , P. A. Rikvold , M. A. Novotny

The technique of conventional ferromagnet/heavy-metal spin-orbit torque (SOT) offers significant potential for enhancing the efficiency of magnetic memories. However, it faces fundamental physical limitations, including hunting effects from…

We propose to optimize neural networks with a uniformly-distributed random learning rate. The associated stochastic gradient descent algorithm can be approximated by continuous stochastic equations and analyzed within the Fokker-Planck…

Machine Learning · Computer Science 2020-10-13 Daniele Musso

The writing process of SOT-MRAMs is considered deterministic when additional symmetry-breaking factors, such as the application of an external magnetic field aligned with the current, are present. Notably, the write probability exhibits a…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Kuldeep Ray , Jérémie Vigier , Perrine Usé , Sylvain Martin , Nicolas Lefoulon , Chloé Bouard , Marc Drouard , Gilles Gaudin

We propose a generalized stochastic Landau-Lifshitz equation and its corresponding Fokker-Planck equation for the magnetization dynamics in the presence of spin transfer torques. Since the spin transfer torque can pump a magnetic energy…

Materials Science · Physics 2009-11-10 Z. Li , S. Zhang

Stochastic models of chemical systems are often analysed by solving the corresponding Fokker-Planck equation which is a drift-diffusion partial differential equation for the probability distribution function. Efficient numerical solution of…

Numerical Analysis · Mathematics 2011-11-10 Simon L. Cotter , Tomas Vejchodsky , Radek Erban

Magnetic materials with strong perpendicular magnetic anisotropy are of great interest for the development of nonvolatile magnetic memory and computing technologies due to their high stabilities at the nanoscale. However, electrical…

Materials Science · Physics 2023-04-04 Lijun Zhu

To make a useful STT-MRAM (spin-transfer torque magnetoresistive random-access memory) device, it is necessary to be able to calculate switching rates, which determine the error rates of the device. In a single-macrospin model, one can use…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Kamaram Munira , P. B. Visscher

We numerically investigate the effect of magnetic and electrical damages at the edge of a perpendicular magnetic random access memory (MRAM) cell on the spin-transfer-torque (STT) efficiency that is defined by the ratio of thermal stability…

Materials Science · Physics 2015-09-02 Kyungmi Song , Kyung-Jin Lee

ESR-STM is an emerging technique which is capable of detecting the precession of a single spin. We discuss the mechanism of ESR-STM based on a direct exchange coupling between the tunneling electrons and the local precessing spin S. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. V. Balatsky , Yishay Manassen , Ran Salem

Using type-x spin-orbit torque (SOT) switching scheme, in which the easy axis (EA) of the ferromagnetic (FM) layer and the charge current flow direction are collinear, is possible to realize a lower-power-consumption, higher-density, and…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Yan-Ting Liu , Chao-Chung Huang , Kuan-Hao Chen , Yu-Hao Huang , Chia-Chin Tsai , Ting-Yu Chang , Chi-Feng Pai

This paper describes a numerical experiment of magnetization switching driven by spin-polarized current in high-TMR magnetic tunnel junctions (TMR>100%). Differently from other works, the current density distribution throughout the…

Other Condensed Matter · Physics 2015-05-13 D. Aurelio , L. Torres , G. Finocchio