Evidence map›Paper›PMID 26723613›Full record

ArticleThe Journal of chemical physics2015

Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism.

Zhen Li, Xin Bian, Xiantao Li, George Em Karniadakis

Abstract read
In one paragraph

Article in The Journal of chemical physics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.

0numbers the graph read from it
0cells of the map it votes in
17citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

17 citing papers in PubMed.

  1. Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows.Proceedings of the National Academy of Sciences of the United States of America · 2026
    Article
  2. Review
  3. Article
  4. Article
  5. Article
  6. Bottom-up Coarse-Graining: Principles and Perspectives.Journal of chemical theory and computation · 2022
    Review
  7. Review
  8. Likelihood-based non-Markovian models from molecular dynamics.Proceedings of the National Academy of Sciences of the United States of America · 2022
    Article
  9. Optimal renormalization of multiscale systems.Proceedings of the National Academy of Sciences of the United States of America · 2021
    Article
  10. Article
  11. Article
  12. Introducing Memory in Coarse-Grained Molecular Simulations.The journal of physical chemistry. B · 2021
    Article
  13. Article
  14. Article
  15. Article
  16. Data-driven parameterization of the generalized Langevin equation.Proceedings of the National Academy of Sciences of the United States of America · 2016
    Article
  17. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Zhen LiDivision of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.
Xin BianDivision of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.
Xiantao LiDepartment of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
George Em KarniadakisDivision of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.

Funding

Multiscale Modeling of Sickle Cell Anemia: Methods and ValidationU01HL114476 · NHLBI · BROWN UNIVERSITY · PI DAO, MING, HIGGINS, JOHN MATTHEW · 2013 to 2017
$3.9M
NHLBI NIH HHS U01 HL114476NHLBI NIH HHS U01HL114476
6 · The paper itself

Abstract

The Mori-Zwanzig formalism for coarse-graining a complex dynamical system typically introduces memory effects. The Markovian assumption of delta-correlated fluctuating forces is often employed to simplify the formulation of coarse-grained (CG) models and numerical implementations. However, when the time scales of a system are not clearly separated, the memory effects become strong and the Markovian assumption becomes inaccurate. To this end, we incorporate memory effects into CG modeling by preserving non-Markovian interactions between CG variables, and the memory kernel is evaluated directly from microscopic dynamics. For a specific example, molecular dynamics (MD) simulations of star polymer melts are performed while the corresponding CG system is defined by grouping many bonded atoms into single clusters. Then, the effective interactions between CG clusters as well as the memory kernel are obtained from the MD simulations. The constructed CG force field with a memory kernel leads to a non-Markovian dissipative particle dynamics (NM-DPD). Quantitative comparisons between the CG models with Markovian and non-Markovian approximations indicate that including the memory effects using NM-DPD yields similar results as the Markovian-based DPD if the system has clear time scale separation. However, for systems with small separation of time scales, NM-DPD can reproduce correct short-time properties that are related to how the system responds to high-frequency disturbances, which cannot be captured by the Markovian-based DPD model.

Indexed as

Molecular Dynamics SimulationDiffusionFrictionMarkov ChainsPolymersPolymers

Identifiers

PMID26723613
PMCPMC4644152

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.