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

Phase transition in the takayasu model with desorption

Majumdar1, Krishnamurthy, Barma

  • 1Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

This study explores a lattice model with diffusing particles and adsorption/desorption. Varying desorption rates causes a nonequilibrium phase transition, altering the steady-state mass distribution from a power law to an exponential decay.

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

Cost and effectiveness analysis of immunization service delivery support in Andhra Pradesh, India.

Bulletin of the World Health Organization·2008
Same author

Cytologic features of malignant cystic pheochromocytoma: a case report.

Acta cytologica·2007
Same author

Epididymo-testicular malacoplakia--a case report.

Indian journal of pathology & microbiology·2006
Same author

Cytomorphology of secretory hyperplastic (lactational) nodule breast.

Cytopathology : official journal of the British Society for Clinical Cytology·2006
Same author

Extremal paths on a random cayley tree

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2001
Same author

Exact calculation of the spatiotemporal correlations in the takayasu model and in the q model of force fluctuations in bead packs

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Non-equilibrium Systems

Background:

  • The Takayasu model, a well-studied lattice model, exhibits a power-law mass distribution in its steady state (p=0).
  • Understanding mass distribution dynamics in systems with particle adsorption and desorption is crucial for various physical phenomena.

Purpose of the Study:

  • To investigate the impact of desorption rate (p) on the steady-state mass distribution in a lattice diffusion-coalescence model.
  • To identify and characterize a nonequilibrium phase transition induced by varying the desorption rate.

Main Methods:

  • Analytical investigation using mean-field theory.
  • Numerical simulations in one dimension.

Main Results:

Related Experiment Videos

  • A nonequilibrium phase transition occurs at a critical desorption rate p(c)(q).
  • Below p(c)(q), the mass distribution follows a power law P(m) ~ m^(-tau), similar to the Takayasu model.
  • At p(c)(q), a new exponent tau(c) characterizes the power-law distribution.
  • Above p(c)(q), the mass distribution transitions to an exponential form P(m) ~ exp(-m/m(*)).

Conclusions:

  • The desorption rate is a key parameter driving phase transitions in this lattice model.
  • The model exhibits distinct steady-state mass distributions depending on the desorption rate, transitioning from power-law to exponential behavior.