func (kr *KineticRates) EquilibriumOccupation(n int, phiT float64) float64 · SlowRelaxationTime: τ_slow

Read the equation

This relation defines SlowRelaxationTime: τ_slow in the source section “func (kr *KineticRates) EquilibriumOccupation(n int, phiT float64) float64 · SlowRelaxationTime: τ_slow”. 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 SlowRelaxationTime: τ_slow 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

// EquilibriumOccupation: b_n^eq = k_f(n)/(k_f(n) + k_b(n))
func (kr *KineticRates) EquilibriumOccupation(n int, phiT float64) float64 {
	kf := kr.FormationRate(n, phiT)
	kb := kr.BreakingRate(n, phiT)
	return kf / (kf + kb)
}

// SlowRelaxationTime: τ_slow = 1/(k_f^min + k_b^min) · [1 + 43·σ_eff]
func (kr *KineticRates) SlowRelaxationTime() float64 {
	kMin := math.Min(kr.BaseFormationRate(22), kr.BaseBreakingRate(22))
	sigmaEff := (kr.SigmaF + kr.SigmaB) / 2.0
	return (1.0 / kMin) * (1.0 + 43.0*sigmaEff)
}

// FastRelaxationTime: τ_fast = 1/(k_f^max + k_b^max)
func (kr *KineticRates) FastRelaxationTime() float64 {
	kMax := kr.BaseFormationRate(1) + kr.BaseBreakingRate(1)
	return 1.0 / kMax

SlowRelaxationTime: τ_slow = 1/(k_f^min + k_b^min) · [1 + 43·σ_eff]

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