Simulates particle movement according to the unnormalized Vicsek model, where particles align their velocities with neighboring particles within a specified radius, subject to noise. The model implements both Gaussian and uniform noise options.
unnormalized_Vicsek(p0,v0,n_t,T_sim,h,cut_r,
sigma_0,noise_type='Gaussian')Returns a list with three components:
A matrix of dimension (2*n_t) x (T_sim+1) containing particle positions at each time step.
A matrix of dimension (2*n_t) x (T_sim+1) containing particle velocities at each time step.
A numeric vector of initial positions for all particles, structured as (x1, y1, x2, y2, ..., xn, yn).
A numeric vector of initial velocities for all particles, structured similarly to p0.
An integer specifying the number of particles.
An integer specifying the number of time steps to simulate.
A numeric value specifying the time step size.
A numeric value specifying the interaction radius within which particles align.
A numeric value specifying the noise strength.
A character string specifying the type of noise: either "Gaussian" (default) or "Uniform".