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Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

Molecular dynamics (MD) simulations remain the gold standard for studying protein dynamics, but their computational cost limits access to biologically relevant timescales. Recent generative models have shown promise in accelerating…

Machine Learning · Computer Science 2026-02-12 Nima Shoghi , Yuxuan Liu , Yuning Shen , Rob Brekelmans , Pan Li , Quanquan Gu

The internal dynamics of macro-molecular systems is characterized by widely separated time scales, ranging from fraction of ps to ns. In ordinary molecular dynamics simulations, the elementary time step dt used to integrate the equation of…

Soft Condensed Matter · Physics 2015-05-19 Pietro Faccioli

Coupled models are set to become increasingly important in all aspects of science and engineering as tools with which to study complex systems in an integrated manner. Such coupled, hybrid simulations typically communicate data between the…

Computational Physics · Physics 2009-11-11 P. V. Coveney , G. De Fabritiis , M. J. Harvey , S. M. Pickles , A. R. Porter

Coarse-grained, mesoscale simulations are invaluable for studying soft condensed matter because of their ability to model systems in which a background solvent plays a significant role but is not the primary interest. Such methods generally…

Soft Condensed Matter · Physics 2024-03-19 Timofey Kozhukhov , Tyler N. Shendruk

Conformational dynamics is crucial for ribonucleic acid (RNA) function. Techniques such as nuclear magnetic resonance, cryo-electron microscopy, small- and wide-angle X-ray scattering, chemical probing, single-molecule F\"orster resonance…

Biomolecules · Quantitative Biology 2025-01-31 Mattia Bernetti , Giovanni Bussi

We present molecular dynamics simulations on the structural relaxation of a simple bead-spring model for polymer blends. The introduction of a different monomer size induces a large time scale separation for the dynamics of the two…

Soft Condensed Matter · Physics 2009-11-13 A. J. Moreno , J. Colmenero

Molecular dynamics (MD) simulations and computer-aided drug design (CADD) have advanced substantially over the past two decades, thanks to continuous computer hardware and software improvements. Given these advancements, MD simulations are…

Quantitative Methods · Quantitative Biology 2023-11-29 Mayar Ahmed , Alex M. Maldonado , Jacob D. Durrant

We have developed an algorithm coupling mesoscopic simulations on different levels in a hierarchy of Cartesian meshes. Based on the multiscale nature of the chemical reactions, some molecules in the system will live on a fine-grained mesh,…

Numerical Analysis · Mathematics 2020-02-19 Stefan Hellander , Andreas Hellander

We present mode-coupling equations for the description of the slow dynamics observed in supercooled molecular liquids close to the glass transition. The mode-coupling theory (MCT) originally formulated to study the slow relaxation in simple…

Soft Condensed Matter · Physics 2009-10-31 L. Fabbian , A. Latz , R. Schilling , F. Sciortino , P. Tartaglia , C. Theis

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Mojtaba Barzegari , Liesbet Geris

Macroscopic simulations of dense plasmas rely on detailed microscopic information that can be computationally expensive and is difficult to verify experimentally. In this work, we delineate the accuracy boundary between microscale…

We introduce mapping-variable ring polymer molecular dynamics (MV-RPMD), a model dynamics for the direct simulation of multi-electron processes. An extension of the RPMD idea, this method is based on an exact, imaginary time path-integral…

Statistical Mechanics · Physics 2015-06-17 Nandini Ananth

In this paper, three multiscale methods for coupling of mesoscopic (compartment-based) and microscopic (molecular-based) stochastic reaction-diffusion simulations are investigated. Two of the three methods that will be discussed in detail…

Subcellular Processes · Quantitative Biology 2013-04-30 Mark B Flegg , Stefan Hellander , Radek Erban

Molecular dynamics (MD) is a widely-used tool for simulating the molecular and materials properties. It is a common wisdom that molecular dynamics simulations should obey physical laws and, hence, lots of effort is put into ensuring that…

Chemical Physics · Physics 2023-08-23 Lina Zhang , Yi-Fan Hou , Fuchun Ge , Pavlo O. Dral

We use machine learning to enable large-scale molecular dynamics (MD) of a correlated electron model under the Gutzwiller approximation scheme. This model exhibits a Mott transition as a function of on-site Coulomb repulsion $U$. The…

Strongly Correlated Electrons · Physics 2019-04-17 Hidemaro Suwa , Justin S. Smith , Nicholas Lubbers , Cristian D. Batista , Gia-Wei Chern , Kipton Barros

We provided a concise and self-contained introduction to molecular dynamics (MD) simulation, which involves a body of fundamentals needed for all MD users. The associated computer code, simulating a gas of classical particles interacting…

Materials Science · Physics 2021-04-01 Ashkan Shekaari , Mahmoud Jafari

Molecular dynamics (MD) simulations are a crucial computational tool for researchers to understand and engineer molecular structure and function in areas such as drug discovery, protein engineering, and material design. Despite their…

New theoretical results are presented here on the recently introduced model called mixed states MRF. Such models were introduced in the context of image motion analysis and are useful to represent information which can take both discrete…

Probability · Mathematics 2009-04-17 Bruno Cernuschi-Frias

Mean-field Ring Polymer Molecular Dynamics (MF-RPMD) offers a computationally efficient method for the simulation of reaction rates in multi-level systems. Previous work has established that, to model a nonadiabatic state-to-state reaction…

Chemical Physics · Physics 2024-05-09 Nathan London , Siyu Bu , Britta Ann Johnson , Nandini Ananth