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

Exact multilocal renormalization group and applications to disordered problems.

P Chauve1, P Le Doussal

  • 1Laboratoire de Physique des Solides, Université Paris-Sud, Bâtiment 510, 91405 Orsay, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
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

Transconducting Transition for a Dynamic Boundary Coupled to Several Luttinger Liquids.

Physical review letters·2018
Same author

Quantitative Scaling of Magnetic Avalanches.

Physical review letters·2016
Same author

Random walkers in one-dimensional random environments: exact renormalization group analysis.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same author

Nonequilibrium dynamics of random field Ising spin chains: exact results via real space renormalization group.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
Same author

A Bragg glass phase in the vortex lattice of a type II superconductor.

Nature·2001
Same author

Freezing of dynamical exponents in low dimensional random media.

Physical review letters·2001
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

We introduce the exact multilocal renormalization group (EMRG) to precisely analyze complex physical theories. This controlled method accurately models phenomena like disordered elastic systems and domain wall behavior.

Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Statistical Mechanics

Background:

  • The exact renormalization group (ERG) provides a powerful framework for studying systems across various scales.
  • Existing projection methods like derivative expansions can lack control and accuracy.
  • Functional renormalization group (FRG) approaches often rely on hard cutoff schemes.

Purpose of the Study:

  • To develop a novel, controlled method, the exact multilocal renormalization group (EMRG), applicable to a wide range of theories.
  • To improve the analysis of complex systems, including disordered elastic systems and domain walls.
  • To provide an exact renormalization group (RG) framework that overcomes limitations of existing projection methods.

Main Methods:

  • Systematic multilocal expansion of the Polchinski-Wilson exact renormalization group (ERG) equation.

Related Experiment Videos

  • Development of a scheme to compute correlation functions by integrating out nonlocal interactions.
  • Reduction of the ERG equation to a flow equation for the local part of the interaction functional, exact to any given order.
  • Perturbative analysis around fixed points.

    • Main Results:

    • The EMRG method is demonstrated to be controlled and applicable to broad theories, unlike projection methods.
    • Universality is verified to O(epsilon=4-D) for T=0 FRG equations and correlations.
    • Finite temperature extension yields universal finite size susceptibility fluctuations characterizing mesoscopic behavior.
    • A universal scaling function is obtained to O(epsilon(1/3)) for domain wall ground states in random fields.

    Conclusions:

    • The EMRG method offers a precise and controlled approach for renormalization group studies.
    • It provides significant advantages over traditional projection methods and hard cutoff FRG schemes.
    • The method successfully describes complex phenomena in condensed matter and statistical physics, including universality and mesoscopic behavior.