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

Crossover from the pair contact process with diffusion to directed percolation.

Su-Chan Park1, Hyunggyu Park

  • 1School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
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

Coherence enhanced by detrained oscillators: Breaking π-reflection symmetry.

Chaos (Woodbury, N.Y.)·2025
Same author

Fluctuation-Response Inequalities for Kinetic and Entropic Perturbations.

Physical review letters·2025
Same author

Active motion can be beneficial for target search with resetting in a thermal environment.

Physical review. E·2024
Same author

Finite-size scaling of the Kuramoto model at criticality.

Physical review. E·2024
Same author

Stochastic differential equation for a system coupled to a thermostatic bath via an arbitrary interaction Hamiltonian.

Physical review. E·2024
Same author

Validity of annealed approximation in a high-dimensional system.

Scientific reports·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 investigates phase transitions in one-dimensional systems, revealing distinct crossover behaviors. Numerical estimates support the non-directed percolation (DP) nature of the pair contact process with diffusion (PCPD).

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Phase Transitions

Background:

  • The pair contact process with diffusion (PCPD) and its driven variant (DPCPD) are models exhibiting complex dynamics.
  • Understanding their relationship to directed percolation (DP), a fundamental universality class, is crucial for statistical physics.
  • Previous studies suggested potential connections, but detailed analysis of crossover behaviors was lacking.

Purpose of the Study:

  • To investigate the crossover behaviors between PCPD, DPCPD, and directed percolation (DP) in a one-dimensional system.
  • To numerically estimate crossover exponents and determine the universality class of PCPD and DPCPD.
  • To provide evidence for the non-DP nature of PCPD critical scaling.

Main Methods:

  • Introduction of single-particle annihilation and/or branching dynamics into PCPD and DPCPD models.

Related Experiment Videos

  • Numerical estimation of crossover exponents (phi) using computational simulations.
  • Analysis of critical amplitude scaling to support findings.

    • Main Results:

    • Crossover exponents were estimated: 1/phi ≈ 0.58 ± 0.03 for PCPD and 1/phi ≈ 0.49 ± 0.02 for DPCPD.
    • The nontrivial crossover exponent for PCPD supports its non-DP nature and anomalous critical amplitude scaling.
    • The DPCPD crossover aligns with mean-field predictions for the tricritical DP class.

    Conclusions:

    • PCPD exhibits distinct critical scaling behavior, diverging from the directed percolation universality class.
    • DPCPD demonstrates crossover behavior consistent with theoretical predictions for tricritical directed percolation.
    • The study clarifies the universality class of these models and their interrelations.