• Corpus ID: 120159806

Phase Transitions and Critical Phenomena

  title={Phase Transitions and Critical Phenomena},
  author={Harry Eugene Stanley},
  journal={Bulletin of the American Physical Society},
  • H. Stanley
  • Published 11 March 2008
  • Physics
  • Bulletin of the American Physical Society
Critical dynamics of an asymmetrically bidirectionally pumped optical microresonator
An optical ring resonator with third-order, or Kerr, nonlinearity will exhibit symmetry breaking between the two counterpropagating circulating powers when pumped with sufficient power in both the
Scaling of causal neural avalanches in a neutral model
Critical slowing-down and power law relaxation of avalanches is observed as the system is tuned to its critical point, which is a stronger evidence of criticality than just the existence of power laws.
On the mean field limit of the Random Batch Method for interacting particle systems
  • Shi Jin, Lei Li
  • Physics, Computer Science
    Science China Mathematics
  • 2021
The Random Batch Method is viewed as a model of the particle system in which particles interact, at discrete time, with randomly selected mini-batch of particles, and the mean-field limit of this model as the number of particles N →∞ is investigated.
A random-batch Monte Carlo method for many-body systems with singular kernels
The proposed random-batch Monte Carlo method, which combines the random batch and splitting strategies, both in theory and with numerical experiments, can save more time when compared to the classical Metropolis-Hastings algorithm.
On the Random Batch Method for second order interacting particle systems
The uniform-in-time strong convergence for second order systems under suitable contraction conditions is shown and the application of RBM for singular interaction kernels via kernel splitting strategy is proposed and numerically the application to molecular dynamics is investigated.
Random Batch Methods (RBM) for interacting particle systems
Connecting metapopulation heterogeneity to aggregated lifetime statistics
  • E. Colombo
  • Environmental Science
    Ecological Complexity
  • 2019
Connecting metapopulation heterogeneity to aggregated lifetime statistics
A weakly-coupled metapopulation model is proposed to show how patch variability can solely trigger qualitatively different lifetime probability distribution at the aggregated level, and points to the possibility of equivalence between heterogeneous weak-Coupled meetingapopulations and homogeneous ones that exhibit critical behavior.
q-Independent Slow Dynamics in Atomic and Molecular Systems.
Investigating million-atom systems for very long simulation times, we demonstrate that the collective density-density correlation time (τ_{α}) in simulated supercooled water and silica becomes