XII. KINETIC RATE EQUATIONS · k_b^coop(n,t)

Read the equation

This relation defines k_b^coop(n,t) in the source section “XII. KINETIC RATE EQUATIONS · k_b^coop(n,t)”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read k_b^coop(n,t) as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

        for (int m : neighbors) {
            k *= (1.0 + sigma_f_ * occupations[m - 1]);
        }
        return k;
    }

    // Cooperative breaking rate:
    // k_b^coop(n,t) = k_b(n,t) · Π[1 - σ_b·b_m(t)]
    double cooperative_breaking_rate(int n, double phi_t,
                                     const std::array<double, TOTAL_BONDS>& occupations,
                                     const std::vector<int>& neighbors) const {
        double k = breaking_rate(n, phi_t);
        for (int m : neighbors) {
            k *= (1.0 - sigma_b_ * occupations[m - 1]);
        }
        return std::max(0.0, k);
    }

k_b^coop(n,t) = k_b(n,t) · Π[1 - σ_b·b_m(t)]

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