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

Geometric scaling as traveling waves.

S Munier1, R Peschanski

  • 1Service de Physique Théorique, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France. Sephanie.Munier@cpht.polytechnique.fr

Physical Review Letters
|December 20, 2003
PubMed
Summary

The nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (KPP) equation explains high-energy Quantum Chromodynamics (QCD) amplitude evolution. Its traveling wave solutions reveal geometric scaling in deep-inelastic scattering, determining the saturation scale

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

Particle-number distribution in large fluctuations at the tip of branching random walks.

Physical review. E·2020
Same author

Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks.

Physical review letters·2018
Same author

Long-Term Outcomes in Belatacept- Versus Cyclosporine-Treated Recipients of Extended Criteria Donor Kidneys: Final Results From BENEFIT-EXT, a Phase III Randomized Study.

American journal of transplantation : official journal of the American Society of Transplantation and the American Society of Transplant Surgeons·2016
Same author

Phenomenological picture of fluctuations in branching random walks.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Length variations in the NA stalk of an H7N1 influenza virus have opposite effects on viral excretion in chickens and ducks.

Journal of virology·2011
Same author

[Interspecies transmission, adaptation to humans and pathogenicity of animal influenza viruses].

Pathologie-biologie·2010

Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)
  • Nonlinear Partial Differential Equations

Background:

  • Geometric scaling is a key phenomenon in deep-inelastic scattering experiments.
  • Understanding high-energy evolution of QCD amplitudes is crucial for particle physics.
  • The nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (KPP) equation is a relevant model for nonlinear phenomena.

Purpose of the Study:

  • To demonstrate the relevance of the nonlinear Fisher and KPP equation to high-energy QCD amplitude evolution.
  • To connect traveling wave solutions of the KPP equation to geometric scaling.
  • To compute the high-energy dependence of the saturation scale using KPP equation results.

Main Methods:

  • Applying the nonlinear Fisher and KPP equation to model QCD amplitude evolution.
  • Analyzing traveling wave solutions of the KPP equation.
  • Utilizing general results on the KPP equation to calculate wave front velocity.

Main Results:

  • The nonlinear Fisher and KPP equation is shown to be relevant for high-energy QCD evolution.
  • Traveling wave solutions of the KPP equation are directly linked to geometric scaling.
  • Geometric scaling is derived for the first time from an exact solution of nonlinear QCD evolution equations.
  • The velocity of the KPP wave front provides the full high-energy dependence of the saturation scale.

Conclusions:

  • The nonlinear Fisher and KPP equation offers an exact framework for understanding geometric scaling in QCD.
  • This work provides a novel explanation for geometric scaling observed in deep-inelastic scattering.
  • The study establishes a direct link between nonlinear evolution equations and fundamental high-energy physics phenomena.

Related Experiment Videos