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The 80 pages that link to Entropy, each with the reason it gives.

• TemperatureRelated: Temperature is related to how entropy changes as a system's energy changes.

• ThermodynamicsRelated: Its change expresses the second law for thermodynamic processes.

• Gibbs free energyRelated: The entropy term explains why increased disorder can favor processes despite their enthalpy cost.

• VarianceCompared with: It captures uncertainty differently and is not determined by variance alone.

• Thermodynamic equilibriumRelated: For an isolated system, equilibrium corresponds to maximum entropy under its constraints.

• Transition stateRelated: The transition-state entropy contributes to the free-energy barrier and reaction rate.

• Second law of thermodynamicsNarrower topic: Its change provides the quantity constrained by the second law.

• Max PlanckRelated: Planck used entropy to connect radiation laws with the behavior of resonators.

• Adiabatic processRelated: Entropy can increase during an irreversible adiabatic process despite zero heat transfer.

• Ludwig BoltzmannRelated: Boltzmann gave entropy a statistical interpretation through the count of possible microstates.

• Carnot cycleRelated: For a reversible cycle, entropy changes during heat transfer balance between the two reservoirs.

• Effective temperatureRelated: Some definitions connect effective temperature to entropy changes, especially in aging systems.

• Hydrophobic effectNarrower topic: Changes in water’s accessible arrangements contribute to hydrophobic free-energy changes.

• EnergyCompared with: Entropy constrains energy’s usefulness without being a form of energy.

• Thermal energyRelated: Entropy helps explain why dispersed thermal energy is difficult to convert completely into work.

• Shannon entropyCompared with: Its statistical connection uses a logarithm of microstate probabilities but has physical units and interpretation.

• Thermal efficiencyRelated: Entropy generation marks irreversible losses that reduce the work obtainable from supplied heat.

• Reversible processRelated: The entropy change of the system and surroundings together is zero for a reversible process.

• Clausius–Clapeyron relationRelated: The entropy difference between phases sets the thermal part of the boundary slope.

• Thermodynamic temperatureRelated: In classical thermodynamics, temperature is defined through how entropy changes with energy.

• Heat engineRelated: Entropy production explains why real engines fall short of reversible performance.

• Rankine cycleRelated: Entropy changes distinguish ideal reversible steps from real component losses.

• Brayton cycleRelated: Entropy changes distinguish ideal reversible stages from real component losses.

• Chemical thermodynamicsRelated: Its competition with enthalpy governs reaction favorability as temperature changes.

• Isothermal processRelated: Reversible heat transfer at constant temperature changes entropy by heat divided by temperature.

• Thermodynamic potentialRelated: Entropy enters free-energy definitions but is not itself an energy-valued potential.

• State functionBroader topic: Its change depends on endpoint states, though its value can be computed using a reversible path.

• Carnot's theoremRelated: Reversible heat transfer balances entropy changes between the hot and cold reservoirs.

• Free energyRelated: The entropy term subtracts energy unavailable for useful work at a given temperature.

• Rudolf ClausiusRelated: Clausius introduced the term and defined its change through reversible heat transfer.

• Bernoulli distributionRelated: Bernoulli entropy is greatest at p=1/2 and vanishes at deterministic endpoints.

• Helmholtz free energyRelated: Its product with temperature accounts for energy unavailable for useful work under fixed-temperature conditions.

• Microcanonical ensembleNarrower topic: The ensemble gives a microscopic state-counting foundation for thermodynamic entropy.

• RefrigeratorRelated: The second law explains why moving heat from cold to warm requires work.

• Third law of thermodynamicsNarrower topic: The third law sets entropy's limiting value for a perfect crystal.

• Entropy productionNarrower topic: Production describes entropy created during a process, not entropy as a state property.

• ImpermanenceCompared with: Entropy concerns physical irreversibility, not the broader claim that all conditioned things change.

• Stirling's approximationRelated: Taking logarithms of factorial counts turns combinatorial growth into entropy-like expressions.

• Absolute temperatureRelated: Temperature relates changes in entropy to changes in internal energy.

• Arrow of timeNarrower topic: Entropy supplies the quantity whose typical increase marks the thermodynamic arrow.

• Diesel cycleRelated: Isentropic compression and expansion hold entropy constant in the ideal model.

• Walther NernstNarrower topic: The third law concerns how entropy behaves as temperature approaches absolute zero.

• Holographic principleNarrower topic: Holographic bounds constrain how much entropy a spatial region can contain.

• Isolated systemRelated: Its behavior distinguishes spontaneous change from mere energy conservation.

• Landauer's principleNarrower topic: Landauer's bound links information loss to an increase in physical entropy.

• Maxwell relationsRelated: Entropy derivatives appear throughout the relations and can be replaced by measurable quantities.

• Maxwell's demonRelated: The thought experiment asks whether selective sorting can lower entropy without an offsetting increase.

• Heat death of the universeBroader topic: Its increase tracks the loss of gradients that could power organized processes.

• Boltzmann brainRelated: The improbability of a brain fluctuation is expressed through its unusually low entropy.

• Caloric theoryRelated: Entropy replaced caloric as a central tool for describing irreversible heat processes.