Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Higher-order dynamics in lattice-based models using the chapman-enskog method

¹Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

|October 25, 2000

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Quantifying task-relevant representational similarity using decision variable correlation.

ArXiv·2026

Same author

Stochastic resonance on a circle without excitation: physical investigation and peak frequency formula

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000

Same author

Phase-separated composite films: experiment and theory

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000

Same author

Rearrangement of phenylethenes on reaction with iodine-xenon difluoride

Organic letters·2000

Same author

Two mixed-metal carboxylate-base adducts

Acta crystallographica. Section C, Crystal structure communications·2000

Same author

A Parallel Library of all Seven A(2)+B(2)+C(2) T(h) Regioisomeric Hexakisadducts of Fullerene C(60): Inspiration from Werner's Octahedral Stereoisomerism This work was supported by a National Science Foundation Young Investigator Award (CHE-9457693), the Office of Naval Research (N00014-98-1-0035), and an Alfred P. Sloan Research Fellowship award.

Angewandte Chemie (International ed. in English)·2000

This study identifies two key conditions for higher-order dynamics in lattice models using Chapman-Enskog expansion. These factors, conserved quantities and discretization, are crucial for deriving Burnett-like equations.

Area of Science:

Computational physics
Mathematical modeling

Background:

Lattice-based models are crucial for simulating complex physical phenomena.
Understanding higher-order dynamics is essential for accurate macroscopic descriptions.

Purpose of the Study:

Investigate the conditions for higher-order dynamics in lattice models.
Determine when Burnett-like equations arise from Chapman-Enskog expansion.

Main Methods:

Analysis of lattice-based models.
Application of Chapman-Enskog expansion.
Examination of conserved quantities and discretization schemes.

Main Results:

Identified two critical conditions for higher-order dynamics.
Demonstrated conditions using diffusion and hydrodynamic equations.

Related Experiment Videos

Highlighted the importance of careful derivation for lattice hydrodynamics.

Conclusions:

The number of conserved quantities and discretization significantly influence higher-order dynamics.
Deriving Burnett-like equations in lattice models requires specific considerations.