Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Nonlinear stochastic equations with calculable steady states.

Rava A da Silveira1, Mehran Kardar

  • 1Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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

Active RNA synthesis patterns nuclear condensates.

Cell systems·2026
Same author

Genetically homogeneous sector morphologies emerge from anisotropic colony growth.

Physical review. E·2026
Same author

Minimal model of self-organized clusters with phase transitions in ecological communities.

Physical review. E·2026
Same author

A unifying model of LAT condensates in reconstitution experiments.

bioRxiv : the preprint server for biology·2025
Same author

Minimal framework for optimizing vaccination protocols targeting highly mutable pathogens.

Physical review. E·2025
Same author

Active RNA synthesis patterns nuclear condensates.

bioRxiv : the preprint server for biology·2024
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

This study explores generalized Kardar-Parisi-Zhang equations, revealing how spatial anisotropies and coupled fields influence amorphous and textural growth. It identifies conditions for Gaussian steady states and fixed points in anisotropic systems.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Surface growth phenomena

Background:

  • The Kardar-Parisi-Zhang (KPZ) equation models random surface growth.
  • Understanding anisotropic and multi-field systems is crucial for complex growth dynamics.

Purpose of the Study:

  • To generalize the KPZ equation for anisotropic and multi-field systems.
  • To investigate symmetries and nonperturbative properties of these generalized equations.
  • To derive conditions for Gaussian steady states in amorphous and textural growth.

Main Methods:

  • Derivation of generalized fluctuation-dissipation conditions.
  • Analysis of steady-state properties for one- and two-dimensional growth.
  • Development of phenomenological equations for crystalline growth.

Related Experiment Videos

Main Results:

  • Identified generalized fluctuation-dissipation conditions for Gaussian steady states.
  • Showed anisotropic 2D systems evolve to isotropic or linear fixed points.
  • Proposed crystalline growth models with coupled height fields and lattice distortions.

Conclusions:

  • Generalized KPZ equations exhibit rich steady-state behaviors.
  • Anisotropy can lead to distinct long-time scaling regimes.
  • Coupling with order parameters, like lattice distortions, offers new pathways for controlled growth.