comb-model: A package to simulate Fractional Brownian walks on a comb-like structure.

This package simulate trajectories of the comb model via Langevin equations driven by fractional Gaussian noises (long-range correlated).

If you have used comb-model in a scientific publication, we would appreciate citations to the following reference [1]:

• Haroldo V. Ribeiro, Angel A. Tateishi, Luiz G. A. Alves, Rafael S. Zola, Ervin K Lenzi (2014). Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure. New Journal of Physics 16, 093050

For more detailed information about the methods functions in comb-model, please consult its documentation.

Installation

The comb-model package is available on pypi and can be installed using pip

pip install comb-model

Dependencies

• numpy
• stochastic
• tdqm

Processes

This package offers functions to simulate Fractional Brownian walks on a plane or Comb-like structures via via Langevin equations.

# Fractional Brownian walks on a plane

import matplotlib.pyplot as plt
from combmodel import langevin_fbn

x,y=langevin_fbn(x0=0,y0=0,betax=1,betay=1,hurstx=0.5,hursty=0.5,tmax=1000,disable_tqdm=True)


f, ax = plt.subplots(nrows=1, ncols=1, figsize=(9.1,7))
ax.plot(x,y,color='#D62728',markersize=0,linewidth=2)
ax.set_xlabel(r'Position, $x(t)$')
ax.set_ylabel(r'Position, $y(t)$')

# Fractional Brownian walks on a Comb-like structure

import matplotlib.pyplot as plt
from combmodel import comb_model

x, y = comb_model(x0=0,y0=0,betax=1,betay=1,hurstx=0.5,hursty=0.5,tmax=5000,eps=1,disable_tqdm=True)

f, ax = plt.subplots(nrows=1, ncols=1, figsize=(9.1,7))
ax.plot(x,y,color='#D62728',markersize=0,linewidth=2)
ax.set_xlabel(r'Position, $x(t)$')
ax.set_ylabel(r'Position, $y(t)$')

References

[1]	Haroldo V. Ribeiro, Angel A. Tateishi, Luiz G. A. Alves, Rafael S. Zola, Ervin K Lenzi (2014). Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure. New Journal of Physics 16, 093050