Class Overview

freevirgil.hamiltonian([J, mu])	Class for Hamiltonian
freevirgil.spin_conf([N])	Class for generating spin configurations

API Documentation

class freevirgil.hamiltonian(J=- 2.0, mu=1.0)

Class for Hamiltonian

\[H = -J\sum_{\left<ij\right>} \sigma_i\sigma_j + \mu\sum_i\sigma_i\]

E(spin)

Energy of configuration spin

\[E = \left<\hat{H}\right>\]

Parameters:

spin (spin_conf) – Spin configuration

Returns:

energy – Energy of configuration

Return type:

float

__init__(J=- 2.0, mu=1.0)

Constructor

Parameters:

• J (float, optional) – Coupling strength

• mu (float, optional) – Chemical potential

__weakref__

list of weak references to the object (if defined)

avg(conf, T)

Exact average values

Parameters:

• spin (spin_conf) – Spin configuration

• T (int) – Temperature

Returns:

• E (float) – Energy of configuration

• M (float) – Magnetization of configuration

• HC (float) – Heat capacity

• MS (float) – Magnetic susceptability

class freevirgil.spin_conf(N=10)

Class for generating spin configurations

of various dimensions

M()

Magnetization of configuration

Returns:

M – magnetization

Return type:

float

__init__(N=10)

Initialize configuration

Parameters:

N (int, default: 10) – Amount of sites

__weakref__

list of weak references to the object (if defined)

dec_conf(dec)

Convert decimal to binary (-1, 1) spin configuration

Parameters:

dec (int) – Decimal number to convert to binary (0, 1) -> (-1, 1)

set_conf(conf)

Specify binary (-1, 1) spin configuration

Parameters:

conf (int list) – Spin configuration list (-1, 1)