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Related papers: Long-Time Mean Square Displacements in Proteins

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Simulating large-scale protein dynamics using traditional all-atom molecular dynamics (MD) remains computationally prohibitive. We present a unified, universal framework for coarse-grained molecular dynamics (CG-MD) that achieves…

Atomic Physics · Physics 2026-04-16 Jinzhen Zhu

We have presented some practical consequences on the molecular-dynamics simulations arising from the numerical algorithm published recently in paper Int. J. Mod. Phys. C 16, 413 (2005). The algorithm is not a finite-difference method and…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 B. Brzostowski , M. R. Dudek , B. Grabiec , T. Nadzieja

Current all-atom potential based molecular dynamics (MD) allow the identification of a protein's functional motions on a wide-range of time-scales, up to few tens of ns. However, functional large scale motions of proteins may occur on a…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Paolo Carloni , Amos Maritan

The dynamics of viscoelastic fluids are governed by a memory function, essential yet challenging to compute, especially when diffusion faces boundary restrictions. We propose a computational method that captures memory effects by analyzing…

Chemical Physics · Physics 2024-01-02 Moe Niknam , Louis-S. Bouchard

The relationship for Pulsed-Field-Gradient NMR between the amplitude $I(t)$ of the spin echo and the molecular displacement ${\bf X}(t)$ is examined. $I(t)$ of a single species in a simple solution is determined by the mean-square…

Soft Condensed Matter · Physics 2011-02-23 George D. J. Phillies

Molecular Dynamics (MD) is a powerful computational microscope for probing protein functions. However, the need for fine-grained integration and the long timescales of biomolecular events make MD computationally expensive. To address this,…

Machine Learning · Computer Science 2026-03-30 Kacper Kapuśniak , Cristian Gabellini , Michael Bronstein , Prudencio Tossou , Francesco Di Giovanni

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

Dynamical Systems · Mathematics 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

Soft Condensed Matter · Physics 2020-02-05 Mahdi Zarif , Richard K. Bowles

Accelerated molecular dynamics (MD) simulations are implemented to model the sliding process of AFM experiments at speeds close to those found in experiment. In this study the hyperdynamics method, originally devised to extend MD time…

Materials Science · Physics 2015-05-14 Woo Kyun Kim , Michael L. Falk

The weighted ensemble (WE) simulation strategy provides unbiased sampling of non-equilibrium processes, such as molecular folding or binding, but the extraction of rate constants relies on characterizing steady state behavior.…

Statistical Mechanics · Physics 2020-10-02 Jeremy Copperman , Daniel Zuckerman

Among other improvements, the Martini 3 coarse-grained force field provides a more accurate description of the solvation of protein pockets and channels through the consistent use of various bead types and sizes. Here, we show that the…

Soft Condensed Matter · Physics 2022-07-27 Balázs Fábián , Sebastian Thallmair , Gerhard Hummer

We explore the dynamics of a tracer in an active particle harmonic chain, investigating the influence of interactions. Our analysis involves calculating mean-squared displacements (MSD) and space-time correlations through Green's function…

Statistical Mechanics · Physics 2026-04-07 Subhajit Paul , Abhishek Dhar , Debasish Chaudhuri

Single particle tracking of mRNA molecules and lipid granules in living cells shows that the time averaged mean squared displacement $\overline{\delta^2}$ of individual particles remains a random variable while indicating that the particle…

Statistical Mechanics · Physics 2009-11-13 Y. He , S. Burov , R. Metzler , E. Barkai

Ionic conductivity is a critical property of solid ionic conductors, directly influencing the performance of energy storage devices such as batteries. However, accurately calculating ionic conductivity or diffusion coefficient remains…

Materials Science · Physics 2025-03-07 Yuxiang Gao , Xiaodong Cao , Zhicheng Zhong

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empirical eigenfunctions, is presented. The…

Fluid Dynamics · Physics 2011-08-30 Jorge Bailon-Cuba , Joerg Schumacher

We have used an NMR technique to measure the short-time, three-dimensional displacement of grains in a system of mustard seeds vibrated vertically at 15g. The technique averages over a time interval in which the grains move ballistically,…

Soft Condensed Matter · Physics 2016-08-31 Xiaoyu Yang , Chao Huan , D. Candela , R. W. Mair , R. L. Walsworth

This study introduces a novel point-wise diffusion model that processes spatio-temporal points independently to efficiently predict complex physical systems with shape variations. This methodological contribution lies in applying forward…

Computational Physics · Physics 2025-08-05 Jiyong Kim , Sunwoong Yang , Namwoo Kang

While deep learning methods have achieved strong performance in time series prediction, their black-box nature and inability to explicitly model underlying stochastic processes often limit their generalization to non-stationary data,…

Machine Learning · Computer Science 2026-02-10 Yuanpei Gao , Qi Yan , Yan Leng , Renjie Liao

The vibrational entropy of a solid at finite temperature is investigated from the perspective of information theory. Ab initio molecular dynamics (AIMD) simulations generate ensembles of atomic configurations at finite temperature from…

Statistical Mechanics · Physics 2022-05-11 Yang Huang , Michael Widom