Jove
Visualize
Contact Us

Related Experiment Videos

Exactly solved dynamics for an infinite-range spin system.

E Milotti1

  • 1Dipartimento di Fisica dell'Università di Udine and INFN-Sezione di Trieste, Via delle Scienze 208, I-33100 Udine, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 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

Black Hole Spectroscopy and Tests of General Relativity with GW250114.

Physical review letters·2026
Same author

GW250114: Testing Hawking's Area Law and the Kerr Nature of Black Holes.

Physical review letters·2025
Same author

Frequency-Dependent Squeezed Vacuum Source for the Advanced Virgo Gravitational-Wave Detector.

Physical review letters·2023
Same author

Search for Subsolar-Mass Binaries in the First Half of Advanced LIGO's and Advanced Virgo's Third Observing Run.

Physical review letters·2022
Same author

Constraints on Cosmic Strings Using Data from the Third Advanced LIGO-Virgo Observing Run.

Physical review letters·2021
Same author

Quantum Backaction on kg-Scale Mirrors: Observation of Radiation Pressure Noise in the Advanced Virgo Detector.

Physical review letters·2020
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
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

This study models spin system dynamics as a hypercube walk, deriving a diffusion equation for magnetization. This equation describes magnetization

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Dynamical systems

Background:

  • The dynamics of N-spin systems are often conceptualized as walks on N-dimensional hypercubes.
  • Understanding the time evolution of magnetization is crucial in spin systems.

Purpose of the Study:

  • To derive a diffusion equation for magnetization in an infinite-range spin system.
  • To establish a framework for analyzing static and dynamic properties of spin systems.

Main Methods:

  • Utilizing the hypercube walk analogy for N-spin systems.
  • Deriving a diffusion equation for magnetization.
  • Solving the diffusion equation to obtain an ordinary differential equation for magnetization's time evolution.

Main Results:

Related Experiment Videos

  • A diffusion equation for magnetization was successfully derived.
  • An ordinary differential equation governing magnetization's time evolution was obtained.
  • The derived equations allow for the calculation of both static and dynamic properties.

Conclusions:

  • The hypercube walk model provides an effective method for analyzing spin system dynamics.
  • The derived diffusion and ordinary differential equations offer a comprehensive tool for characterizing spin system properties.