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Coagulation by random velocity fields as a Kramers problem.

Bernhard Mehlig1, Michael Wilkinson

  • 1Physics and Engineering Physics, Gothenburg University/Chalmers, Gothenburg, Sweden.

Physical Review Letters
|July 13, 2004
PubMed
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We analyzed particle motion in a random fluid, identifying distinct coagulating and noncoagulating phases. The phase transition, linked to a Kramers problem, defines the system

Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Particle dynamics

Background:

  • Particles suspended in a fluid with random velocity fields exhibit complex behaviors.
  • Understanding phase transitions in such systems is crucial for various scientific disciplines.

Purpose of the Study:

  • To analyze the motion of particles in a random velocity field.
  • To identify and characterize the coagulating and noncoagulating phases.
  • To determine the phase diagram and understand the underlying mechanisms of the phase transition.

Main Methods:

  • Analysis of particle motion in a random velocity field.
  • Connection to Kramers problem for phase transition analysis.
  • Determination of the two-dimensional phase diagram based on dimensionless inertia (epsilon) and velocity field components (Gamma).

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Main Results:

  • Identification of distinct coagulating and noncoagulating phases.
  • Phase transition is related to a Kramers problem.
  • The phase line is described by a nonanalytic function at epsilon=0, linked to barrier escape in the Kramers problem.

Conclusions:

  • The study reveals a phase transition in particle dynamics within random fluid flows.
  • The Kramers problem provides a framework for understanding this transition.
  • The derived phase diagram offers insights into physical realizations of this phenomenon.