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VicsekModel

Documentation for VicsekModel.

VicsekModel.VicsekModelParameters — Type

Fields

  • L: Length of the square box
  • ρ: Density of particles
  • N: Number of particles
  • r₀: Interaction radius
  • Δt: Time step
  • factor: Factor to determine the initial velocity
  • v₀: Initial velocity
  • η: Noise strength
  • alg: Algorithm to update the position and velocity
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VicsekModel.VicsekModelVariables — Type

Initialize the variables of the Vicsek model with a seed number

  • pos: Random position of particles
  • vel: Random velocity of particles
  • θ: Random angle of particles
  • S: Complex number to calculate the average angle of neighbors
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VicsekModel.VicsekModelVariables — Type

Variables of the Vicsek model

  • pos: Position of particles
  • vel: Velocity of particles
  • θ: Angle of particles
  • S: Complex number to calculate the average angle of neighbors
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VicsekModel.VicsekModelVariables — Method

Initialize the variables of the Vicsek model

  • pos: Random position of particles
  • vel: Random velocity of particles
  • θ: Random angle of particles
  • S: Complex number to calculate the average angle of neighbors
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VicsekModel.calculate_weights! — Method

Calculate the average angle of neighbors

Arguments

  • pos: Position of particles
  • θ: Angle of particles
  • S: Complex number to calculate the average angle of neighbors
  • r₀: Interaction radius
  • ix: Index of particles
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VicsekModel.calculate_weights! — Method

Calculate the average angle of neighbors with KDTree

Arguments

  • tree: KDTree to find the neighbors
  • pos: Position of particles
  • θ: Angle of particles
  • S: Complex number to calculate the average angle of neighbors
  • r₀: Interaction radius
  • ix: Index of particles
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VicsekModel.update! — Method

Update the position and velocity of particles using a simple for-loop method

Arguments

  • var: Variables of the Vicsek model
  • p: Parameters of the Vicsek model
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VicsekModel.update! — Method

Update the position and velocity of particles using KDTree

Arguments

  • var: Variables of the Vicsek model
  • p: Parameters of the Vicsek model
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VicsekModel.update_position! — Method

Update the position and velocity of particles

Arguments

  • pos: Position of particles
  • vel: Velocity of particles
  • θ: Angle of particles
  • S: Complex number to calculate the average angle of neighbors
  • v₀: Initial velocity
  • η: Noise strength
  • ix: Index of particles
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VicsekModel.update_with_anim — Method

Update the position and velocity of particles with animation

Arguments

  • t: Time step
  • var: Variables of the Vicsek model
  • p`: Parameters of the Vicsek model
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