No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
78def boltzmannFactor (Ea kT : ℝ) : ℝ := exp (-Ea / kT)
proof body
Definition body.
79
80/-- Arrhenius rate constant: k = A · exp(-Ea / RT). -/
used by (16)
From the project-wide theorem graph. These declarations reference this one in their body.
-
enzyme_enhances_rate
in IndisputableMonolith.Chemistry.ActivationEnergy
decl_use
-
rateEnhancement
in IndisputableMonolith.Chemistry.ActivationEnergy
decl_use
-
boltzmannFactor
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
catalyzedRate
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
ideal_enzyme_unit_rate
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
rate_enhancement
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
uncatalyzedRate
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
boltzmannFactor
in IndisputableMonolith.Information.ShannonEntropy
decl_use
-
averageEnergy
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
boltzmannFactor
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
boltzmannFactor_pos
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
partitionFunction
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
partition_positive
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
probability
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
prob_nonneg
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
-
prob_normalized
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
depends on (7)
Lean names referenced from this declaration's body.
-
boltzmannFactor
in IndisputableMonolith.Chemistry.EnzymeCatalysis
decl_use
-
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
-
boltzmannFactor
in IndisputableMonolith.Information.ShannonEntropy
decl_use
-
A
in IndisputableMonolith.Masses.Anchor
decl_use
-
A
in IndisputableMonolith.Modal.Actualization
decl_use
-
constant
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use
-
boltzmannFactor
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use