{"artifact_id":"L1-310","layer":"L1","title":"Metropolis Monte Carlo","domain":"Computational Chemistry","sub_domain":"Equilibrium configurational sampling","physics_fingerprint":{"L_DAG":3.0,"title":"Metropolis Monte Carlo","domain":"Computational Chemistry","carrier":"none","primitives":["E.potential_U","int.stochastic","O.ensemble_average"],"sub_domain":"Equilibrium configurational sampling","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"Boltzmann_ensemble","difficulty_delta":3,"integration_axis":"mc_steps","sensing_mechanism":"ensemble_observable"},"observable_profile":{"metric":"observable_relative_error","regime":"Well-posed; ergodicity + detailed balance ensure convergence.","secondary":"autocorrelation_time"},"size_tiers":{"center_spec":{"omega":{"T_K":300,"N_sweeps":1000000.0,"ensemble":"NVT","N_particles":1000},"input_format":"measurement_only","problem_class":"monte_carlo_metropolis","forward_operator":"metropolis_mc_forward","epsilon_fn_center":"observable rel error <= 0.02"},"omega_bounds":{"T_K":[1,10000],"N_sweeps":[10000,10000000000.0],"ensemble":["NVT","NPT","GCMC","Gibbs"],"N_particles":[10,10000000.0]},"epsilon_bounds":{"observable_relative_error":[0.005,0.3]},"allowed_problem_classes":["monte_carlo_metropolis"],"allowed_omega_dimensions":["N_particles","N_sweeps","T_K","ensemble"],"allowed_forward_operators":["metropolis_mc_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":100,"metric":"observable_relative_error"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x98eab4dc52f93d074d6742458d1cb041fe58fed198ce87d0cdd6431f0b113b88","chain_tx_hash":"0x7af301dfb644e5a15bc354a486da48fa9a2c41047d5413a7648d3813653e8b98","chain_block":41554115}