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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.

• 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.

• 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.

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

• 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.

• 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.

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

• 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.

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

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

• 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.

• 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.

• Perpetual motionRelated: Irreversible dissipation prevents real machines from recovering all input energy as work.

• Hess's lawRelated: Entropy changes also depend only on endpoints, but do not add as reaction enthalpies.

• Constantin CarathéodoryRelated: His thermodynamic axioms derive entropy from the structure of adiabatic accessibility.

• Fundamental thermodynamic relationRelated: Its differential is weighted by temperature in the energy relation.

• Boltzmann's entropy formulaRelated: Boltzmann's formula gives a microscopic interpretation of this thermodynamic quantity.

• Clausius theoremRelated: Clausius introduced entropy through the reversible form of the theorem.

• Discrete uniform distributionRelated: Among distributions on a fixed finite support, uniformity maximizes Shannon entropy.

• Gibbs–Helmholtz equationRelated: Its contribution to Gibbs energy makes the temperature derivative yield enthalpy.

• Big HistoryRelated: Local complexity develops within a universe whose overall entropy increases.

• Intensive and extensive propertiesRelated: Entropy is extensive for ordinary macroscopic systems and helps define equilibrium.

• Karamata's inequalityRelated: Majorization orders probability distributions by concentration, yielding comparisons of Shannon entropy.

• Lord KelvinRelated: Kelvin’s work helped establish the second law’s connection between heat and irreversibility.

• Nicholas Georgescu-RoegenRelated: Georgescu-Roegen made entropy central to explaining why production irreversibly degrades resources.

• William John Macquorn RankineRelated: Rankine developed an early account of thermodynamic functions related to what later became entropy.

• History of thermodynamicsRelated: Its rise from a mathematical measure of engine inefficiency to a general state function shaped the second law.