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Phase Transitions and Effect of Intermolecular Forces
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Sampling rare events across dynamical phase transitions.

Carlos Pérez-Espigares1, Pablo I Hurtado1

  • 1Departamento de Electromagnetismo y Física de la Materia, and Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, Granada 18071, Spain.

Chaos (Woodbury, N.Y.)
|September 2, 2019
PubMed
Summary
This summary is machine-generated.

Dynamical phase transitions (DPTs) in interacting particle systems are challenging to study due to their rarity. Advanced cloning Monte Carlo methods now allow direct observation and characterization of these rare events.

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Area of Science:

  • Statistical Mechanics
  • Computational Physics

Background:

  • Interacting particle systems exhibit phase transitions with atypical fluctuations.
  • Dynamical phase transitions (DPTs) can lead to symmetry-broken space-time trajectories and ordered structures.
  • Characterizing DPTs is difficult due to the low probability of these rare events.

Purpose of the Study:

  • To review the application of rare-event simulation techniques for characterizing DPTs.
  • To detail the use of cloning Monte Carlo methods for DPT analysis in stochastic lattice gases.
  • To provide insights into measuring order parameters and managing finite-size effects in DPT studies.

Main Methods:

  • Rare-event simulation techniques, specifically cloning Monte Carlo methods.
  • Application to paradigmatic stochastic lattice gases.
  • Detailed discussion of measurement techniques for order parameters and finite-size effects.

Main Results:

  • Demonstration of cloning Monte Carlo methods for observing and characterizing DPTs.
  • Identification of key order parameters relevant to DPT physics.
  • Analysis of finite-size effects impacting simulation accuracy.

Conclusions:

  • Advanced simulation techniques enable direct observation of rare DPTs.
  • Cloning Monte Carlo methods offer a powerful approach to study DPT phenomenology.
  • Understanding measurement nuances, like order parameters and finite-size effects, is crucial for accurate DPT characterization.