Search research articles

Search research articles

Related Experiment Videos

Coarse-graining a restricted solid-on-solid model.

Achilleas Lazarides¹

¹Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ, United Kingdom. achilleas.lazarides@imperial.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 23, 2006

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

Discrete Time Crystals in Unbounded Potentials.

Physical review letters·2024

Same author

Absence of localization in interacting spin chains with a discrete symmetry.

Nature communications·2023

Same author

Constrained Dynamics and Directed Percolation.

Physical review letters·2022

Same author

Arresting Classical Many-Body Chaos by Kinetic Constraints.

Physical review letters·2022

Same author

Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations.

Physical review letters·2020

Same author

Phase Structure of Driven Quantum Systems.

Physical review letters·2016

Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

See all related 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

This study applies Vvedensky

Area of Science:

Statistical physics
Surface growth models

Background:

Continuum equations are crucial for describing large-scale phenomena.
Discrete models offer detailed insights into microscopic processes.
Bridging discrete and continuum descriptions remains a challenge.

Purpose of the Study:

To derive continuum equations from a discrete model using a coarse-graining procedure.
To investigate the surface growth dynamics of the restricted solid-on-solid model.
To validate the derived continuum equations against simulations.

Main Methods:

Application of Vvedensky's procedure for coarse-graining.
Expansion of the master equation to derive discrete Langevin equations.
Analysis of symmetry to determine universality classes.

Related Experiment Videos

Main Results:

Discrete Langevin equations were derived and quantitatively matched simulations.
A continuum differential equation was obtained for the model.
The model was shown to exhibit Edwards-Wilkinson or Kardar-Parisi-Zhang scaling behavior.

Conclusions:

Vvedensky's procedure effectively bridges discrete and continuum descriptions.
The derived continuum equation accurately represents the model's large-scale behavior.
Coefficients in the continuum equation are well-defined in the coarse-grained limit.