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+#!/Applications/Julia-1.7.app/Contents/Resources/julia/bin/julia
+
+using Statistics
+using Plots
+
+function wrap_index(i::Int, l::Int)::Int
+ wrap = (i - 1) % l + 1
+ return (wrap <= 0) ? l + wrap : wrap
+end
+
+mutable struct Ising2D
+ l::Int
+ n::Int
+ temperature::Float64
+ w::Vector{Float64} # Boltzmann weights
+ state::Matrix
+ energy::Int
+ magnetization::Int
+ mc_steps::Int
+ accepted_moves::Int
+ energy_array::Vector{Int}
+ magnetization_array::Vector{Int}
+end
+
+Ising2D(l::Int, temperature::Float64) = begin
+ n = l^2
+ w = zeros(9)
+ w[9] = exp(-8.0 / temperature)
+ w[5] = exp(-4.0 / temperature)
+ state = ones(Int, l, l) # initially all spins up
+ energy = -2 * n
+ magnetization = n
+ return Ising2D(l, n, temperature, w, state, energy, magnetization, 0, 0,
+ Int[], Int[])
+end
+
+function reset!(ising::Ising2D)
+ ising.mc_steps = 0
+ ising.accepted_moves = 0
+ ising.energy_array = Int[]
+ ising.magnetization_array = Int[]
+end
+
+function mc_step!(ising::Ising2D)
+ l::Int = ising.l
+ n::Int = ising.n
+ w = ising.w
+
+ state = ising.state
+ accepted_moves = ising.accepted_moves
+ energy = ising.energy
+ magnetization = ising.magnetization
+
+ random_positions = l * rand(2 * n)
+ random_array = rand(n)
+
+ for k in 1:n
+ i = trunc(Int, random_positions[2 * k - 1]) + 1
+ j = trunc(Int, random_positions[2 * k]) + 1
+
+ de = 2 * state[i, j] * (state[i % l + 1, j] +
+ state[wrap_index(i - 1, l), j] + state[i, j % l + 1] +
+ state[i, wrap_index(j - 1, l)])
+
+ if de <= 0 || w[de + 1] > random_array[k]
+ accepted_moves += 1
+ new_spin = - state[i, j] # flip spin
+ state[i, j] = new_spin
+ energy += de
+ magnetization += 2 * new_spin
+ end
+
+ end
+
+ ising.state = state
+ ising.accepted_moves = accepted_moves
+ ising.energy = energy
+ ising.magnetization = magnetization
+
+ append!(ising.energy_array, ising.energy)
+ append!(ising.magnetization_array, ising.magnetization)
+ ising.mc_steps = ising.mc_steps + 1
+end
+
+function steps!(ising::Ising2D, num::Int=100)
+ for i in 1:num
+ mc_step!(ising)
+ end
+end
+
+function mean_energy(ising::Ising2D)
+ return mean(ising.energy_array) / ising.n
+end
+
+function specific_heat(ising::Ising2D)
+ return (std(ising.energy_array) / ising.temperature) ^ 2 / ising.n
+end
+
+function mean_magnetization(ising::Ising2D)
+ return mean(ising.magnetization_array) / ising.n
+end
+
+function susceptibility(ising::Ising2D)
+ return (std(ising.magnetization_array)) ^ 2 / (ising.temperature * ising.n)
+end
+
+function observables(ising::Ising2D)
+ printstyled("Temperature\t\t", bold=true)
+ print(ising.temperature); print("\n")
+
+ printstyled("Mean Energy\t\t", bold=true)
+ print(mean_energy(ising)); print("\n")
+
+ printstyled("Mean Magnetiz.\t\t", bold=true)
+ print(mean_magnetization(ising)); print("\n")
+
+ printstyled("Specific Heat\t\t", bold=true)
+ print(specific_heat(ising)); print("\n")
+
+ printstyled("Susceptibility\t\t", bold=true)
+ print(susceptibility(ising)); print("\n")
+
+ printstyled("MC Steps\t\t", bold=true)
+ print(ising.mc_steps); print("\n")
+ printstyled("Accepted Moves\t\t", bold=true)
+ print(ising.accepted_moves); print("\n")
+end
+
+
+function plot_ising(state::Matrix{Int})
+ pos = Tuple.(findall(>(0), state))
+ neg = Tuple.(findall(<(0), state))
+ scatter(pos, markersize=5)
+ scatter!(neg, markersize=5)
+end
+
+
+m = Ising2D(32, 2.3)
+steps!(m, 1000)
+observables(m)
+plot_ising(m.state)