Coagulation

Combined aerosol population dynamics: condensation growth (DiameterGrowthRate) and Brownian coagulation (BrownianCoagulationCoefficient + MonodisperseCoagulation), coupled so that the Fuchs-form coagulation coefficient K_12 drives the number-concentration ODE and the shared temperature T and particle density ρ_p parameterize both growth and coagulation. Implements Seinfeld & Pandis (2006) Ch. 13 Eqs. 13.11-13.13 (condensation), 13.47 and Table 13.1 (coagulation coefficient), and 13.65-13.67 (number-concentration dynamics). Migrated from Aerosol.jl src/dynamics.jl:279 (esm-540).

Brownian coagulation coefficient K_12 for two particles using the Fuchs interpolation formula (Seinfeld & Pandis 2006, Table 13.1). Valid across the continuum, transition, and free-molecular regimes. Computes Knudsen numbers, Cunningham slip corrections, Brownian diffusion coefficients, mean thermal velocities, particle mean free paths, and the Fuchs interpolation parameters g_1, g_2 as intermediate observed variables before assembling K_12. Migrated from Aerosol.jl src/dynamics.jl:75.

Transition-regime Brownian coagulation rate constant K for two aerosol particle species using the Dahneke (1983) non-continuum correction formula (Eqs. 8.8, 8.13, 8.15). Computes particle masses, Stokes friction coefficients, Einstein diffusion coefficients, mean thermal velocities, mutual transport quantities, collision radius, diffusion Knudsen number Kn_D, continuum-limit coagulation constant K_o, and the Dahneke non-continuum correction β₂ as intermediate observed variables before assembling K. Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:235.

5-bin discrete coagulation model for a monodisperse initial distribution with constant coagulation coefficient (Seinfeld & Pandis 2006, Ch. 13, Eqs. 13.59, 13.67, 13.71). Tracks the evolution of five k-mer bins (N1..N5) under Brownian coagulation. Source: Aerosol.jl@c8c640bb:src/dynamics.jl:221 (n_bins=5 instantiation, esm-isv).

Total aerosol number concentration evolution for a monodisperse aerosol undergoing Brownian coagulation with constant coagulation coefficient (Seinfeld & Pandis 2006, Ch. 13, Eqs. 13.65-13.67). ODE: dN/dt = -K·N²/2; algebraic characteristic coagulation time τ_c = 2/(K·N₀). Source: Aerosol.jl@c8c640bb:src/dynamics.jl:178.

TwO-Moment Aerosol Sectional (TOMAS) Brownian-coagulation model with five mass-doubling size bins. Each bin k carries two moments - particle number concentration N_k and mass concentration M_k - and the bins are coupled by Brownian coagulation: intra- and inter-bin collisions remove particles and transfer mass toward larger bins at rates set by a precomputed 5x5 coagulation-coefficient matrix. f_k and psi_k are the within-bin linear number-distribution reconstruction coefficients of the two-moment scheme, evaluated algebraically from N_k. Migrated from the module-level script Aerosol.jl src/TOMAS.jl @ c8c640bb636b22f2425460e9ed5cba50793bfee1; the upstream array-variable ODESystem was scalarized to 20 scalar unknowns and mtk2esm-scaffolded. All coagulation coefficients, bin masses and the bin-spacing factor xi are baked in as numeric literals, so the model has no free parameters.