ising_sim

Run simulations of the 1D Ising spin chain with and without a GUI. Try it out! Run

python -m ising_sim 100

To run it with graphics

Either run it as a module as above, or run it as a script as below.

from ising_sim import start_graphical_simulation

start_graphical_simulation(length=50)

See the docstring or the notebooks for information on additional arguments.

To run it without graphics

from ising_sim.sim import IsingSimulation

sim = IsingSimulation(length=50, J=-1)

# schedule is temperature, time pairs
# ie (simulate at temperature for a certain amount of time)
schedule = (3, 100), (2, 50), (1, 50), (.5, 10)

sim.schedule_update(schedule)

print(sim.state)

Again, see the docstrings or notebooks for information on additional arguments.

Notes

• The correlation function may keep moving a few time steps longer even after the state has reached a fixed point. This is because we use a certain number of previous states to average the correlation. You can adjust how many states are used with the
• J < 0 is for ferromagnetic chains, J > 0 is for antiferromagnetic chains.

To Do

• add the ability to adjust local fields with the mouse.

See also

• The really cool web app that motivated me to make this one! https://github.com/explorablesforsfi/ising
• I added simulation of arbitrary spin and boolean systems as well as simulated annealing with this simulation to qubovert.