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Entropy constrains Efficiency. Activate to inspect this relation.Second law of thermodynamics explains Entropy. Activate to inspect this relation.Gibbs free energy depends on Entropy. Activate to inspect this relation.Entropy depends on Probability. Activate to inspect this relation.Boltzmann distribution models Microstate. Activate to inspect this relation.Macrostate depends on Microstate. Activate to inspect this relation.Entropy measures Microstate. Activate to inspect this relation.Partition function is derived from Boltzmann distribution. Activate to inspect this relation.Partition function enables Free energy. Activate to inspect this relation.Canonical ensemble is a Statistical ensemble. Activate to inspect this relation.Canonical ensemble requires Temperature. Activate to inspect this relation.Boltzmann distribution is derived from Canonical ensemble. Activate to inspect this relation.Equipartition theorem depends on Temperature. Activate to inspect this relation.Equipartition theorem is derived from Boltzmann distribution. Activate to inspect this relation.Entropy is part of Free energy. Activate to inspect this relation.Boltzmann distributionMicrostateCanonical ensemblePartition functionEquipartition theoremMacrostateEntropyStatistical ensembleTemperatureFree energyEfficiencySecond law of thermodynamicsGibbs free energyProbability
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14 concepts15 relationships15 disciplines4 relation families

Boltzmann distribution

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At a glance

The Boltzmann distribution gives the probability of a system occupying a state as an exponential function of its energy and temperature.

Disciplines
Statistical Physics
Role in the graph
Connector
Relationships
4 · 2 relation families

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 15 disciplines: Chemistry, Economics, Engineering, Environmental Engineering, Geography, Information Theory, Mathematics, Meteorology, Physical Chemistry, Physics, Probability, Statistical Physics, Statistics, Sustainability Science, Thermodynamics.
  • Efficiency is a bridge concept — viewed here through Economics, Engineering, Environmental Engineering, Physics, Sustainability Science.
  • The connections here span 4 relation families.
  • Energy transformation explains 3 concepts in this view (Economics, Engineering, Environmental Engineering, Information Theory, Physical Chemistry, Physics, Statistical Physics, Sustainability Science, Thermodynamics).

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

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A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.