Monte Carlo Lattice Simulator

Interactive 2D Monte Carlo lattice simulation of lipid mixing on a triangular (hexagonal) lattice with nearest-neighbor interactions.

Interactive 2D Monte Carlo simulation of lipid mixing on a triangular lattice with periodic boundary conditions and nearest-neighbor pairwise interactions. A binary A/B mixture evolves via Kawasaki exchange dynamics with the Metropolis acceptance criterion. One Monte Carlo cycle corresponds to L² proposed exchanges. See Chaisson, Mehta & Heberle (2026) for details of the model.

Lattice Parameters

L lattice dimension (L×L sites)
xA mole fraction of component A

Interaction & Simulation

ωAB kBT pairwise interaction energy
Cycles MC cycles (1 cycle = L² exchanges)

FRET Parameters

R0 nm Förster radius
Donor mol% on component A
Acceptor mol% on component B
APL nm² area per lipid
Heat Capacity Scan

Sweep ωAB across a range of values and compute the heat capacity C/kB from energy fluctuations at each point. The triangular Ising model has a critical point at ωAB = ln(3)/2 ≈ 0.55 kBT, where the heat capacity diverges. Uses the same lattice size L and composition xA set above.

Scan Parameters

ωmin kBT
ωmax kBT
Δω kBT step size
Equil. equilibration cycles per point
Prod. production cycles per point