Brownian motion simulator, written with VPython.
#!/usr/bin/env python2
#
# chaos - jzhu98
# See bottom for license.
#
from __future__ import division
from enum import Enum
from copy import deepcopy
from random import random as r
from visual import *
from octree import Octree
class Particle(sphere):
def __init__(self, pos, vel, col, rad, mass):
super(self.__class__, self).__init__(
pos=pos,
radius=rad,
color=col
)
self.vel = vel
self.mass = mass
class Dust(sphere):
def __init__(self, pos, vel, col, rad, mass):
super(self.__class__, self).__init__(
pos=pos,
radius=rad,
color=col,
make_trail=True
)
self.vel = vel
self.mass = mass
def make_molecules(n_molecules, radius, mass):
molecules = [Dust(
pos=vector(0, 0, 0),
vel=vector(0, 0, 0),
col=color.red,
rad=0.05,
mass=1
)]
for i in xrange(n_molecules):
molecules.append(Particle(
pos=vector(r() - 0.5, r() - 0.5, r() - 0.5),
vel=vector(r() - 0.5, r() - 0.5, r() - 0.5),
col=color.blue,
rad=radius,
mass=mass
))
return molecules
# Stable (no oscillating velocity) because return to inside bounding box
# is guaranteed
def calc_wall_collision(particle):
box_bounds = 0.5
if abs(particle.pos.x) >= box_bounds:
particle.vel.x *= -1
if abs(particle.pos.y) >= box_bounds:
particle.vel.y *= -1
if abs(particle.pos.z) >= box_bounds:
particle.vel.z *= -1
def calc_part_collision(p, molecules):
for m in molecules:
# Avoid collision with itself
if p is m:
continue
# If collision detected, perform elastic momentum transfer
# (Python simultaneous assignment ftw!)
if mag(p.pos - m.pos) <= p.radius + m.radius:
# If masses are equal, velocities are swapped
if abs(p.mass - m.mass) < 1e-3:
p.vel, m.vel = m.vel, p.vel
else:
p.vel, m.vel = \
(p.vel * (p.mass - m.mass) + 2 * m.mass * m.vel) / (p.mass + m.mass), \
(m.vel * (m.mass - p.mass) + 2 * p.mass * p.vel) / (p.mass + m.mass)
# Process only one collision per frame
break
def update_velocity(molecules, dt):
for m in molecules:
calc_wall_collision(m)
calc_part_collision(molecules[0], molecules)
def update_position(molecules, dt):
for m in molecules:
m.pos += m.vel * dt
def main():
container = box(pos=vector(0, 0, 0),
size=vector(1, 1, 1),
color=color.blue,
opacity=0.1)
# Generate list of 1 dust particle and 100 random small particles
molecules = make_molecules(n_molecules=250, radius=0.01, mass=0.01)
dt = 0.05
while 1:
rate(60)
update_velocity(molecules, dt)
update_position(molecules, dt)
if __name__ == '__main__':
main()
# The MIT License (MIT)
# Copyright (c) 2014 James Zhu
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.