KnowraLudwig BoltzmannLinked fromLinked fromThe 34 pages that link to Ludwig Boltzmann, each with the reason it gives.All 34Related 33Compared with 1Statistical mechanicsRelated: His work tied entropy and equilibrium to the statistical behavior of molecules.ThermodynamicsRelated: His statistical account explained entropy through microscopic possibilities.Second law of thermodynamicsRelated: His statistical interpretation explained the law through probabilities rather than an absolute microscopic prohibition.Kinetic theory of gasesRelated: He extended the theory from gas motion to entropy and statistical mechanics.Max PlanckRelated: Boltzmann’s statistical reasoning influenced Planck’s eventual treatment of energy elements.Boltzmann constantRelated: The constant honors the physicist whose ideas connected microscopic states with thermodynamic entropy.Boltzmann distributionRelated: His work established the statistical interpretation associated with this distribution.Stefan–Boltzmann lawRelated: In 1884 he derived the law using thermodynamics and electromagnetic theory.University of ViennaRelated: He held a physics professorship at Vienna during a formative period in theoretical physics.Maxwell–Boltzmann distributionRelated: Boltzmann extended the kinetic theory and connected molecular statistics with thermodynamics.Ernst MachCompared with: Boltzmann’s atomism opposed Mach’s skepticism about claims that exceeded direct experience.Ultraviolet catastropheRelated: His statistical methods helped establish the framework Planck later used.Rudolf ClausiusRelated: Boltzmann gave a molecular interpretation to the entropy Clausius had introduced macroscopically.Boltzmann equationRelated: He formulated the equation and connected its dynamics to thermodynamic irreversibility.Time-reversal symmetryRelated: His work exposed the tension between reversible microscopic dynamics and irreversible thermodynamic behavior.Arrow of timeRelated: His work connected entropy increase with the statistical behavior of microscopic systems.Ergodic theoryRelated: His work framed the problem of deriving statistical laws from microscopic motion.Maxwell–Boltzmann statisticsRelated: He generalized molecular statistics and connected microscopic arrangements to thermodynamic behavior.Gas constantRelated: His work supplied the microscopic interpretation behind R = NAk.Maxwell's demonRelated: Boltzmann’s account of entropy gives the statistical framework in which the demon’s apparent violation is assessed.Loschmidt's paradoxRelated: His H-theorem became the central target of Loschmidt's challenge.Nonequilibrium thermodynamicsRelated: His statistical account of entropy helped frame the microscopic origins of irreversibility.Boltzmann brainRelated: His account of entropy made rare low-entropy fluctuations a cosmological possibility.Jean PerrinRelated: Perrin’s results supplied evidence for the molecular ideas Boltzmann had championed.Wilhelm WienRelated: Boltzmann’s statistical approach influenced the theoretical foundations of Wien’s radiation work.Classical physicsRelated: His work connected macroscopic thermodynamics with microscopic particle models.Boltzmann's entropy formulaRelated: His work established the connection between entropy and microscopic multiplicity.Paul EhrenfestRelated: Boltzmann’s ideas strongly shaped Ehrenfest’s approach to statistical physics.Ergodic theoremRelated: His ergodic hypothesis motivated mathematical efforts to justify statistical averages.Classical statistical mechanicsRelated: His work connected entropy with microscopic probabilities and states.History of thermodynamicsRelated: He linked entropy and macroscopic laws to the probable behavior of molecular states.Ilya PrigogineRelated: Prigogine revisited the relation between microscopic dynamics and macroscopic irreversibility.Stefan–Boltzmann constantRelated: His theoretical derivation turned Stefan’s empirical result into a physical law.Laws of thermodynamicsRelated: His statistical account links thermodynamic laws to microscopic physics.
KnowraLudwig BoltzmannLinked fromLinked fromThe 34 pages that link to Ludwig Boltzmann, each with the reason it gives.All 34Related 33Compared with 1Statistical mechanicsRelated: His work tied entropy and equilibrium to the statistical behavior of molecules.ThermodynamicsRelated: His statistical account explained entropy through microscopic possibilities.Second law of thermodynamicsRelated: His statistical interpretation explained the law through probabilities rather than an absolute microscopic prohibition.Kinetic theory of gasesRelated: He extended the theory from gas motion to entropy and statistical mechanics.Max PlanckRelated: Boltzmann’s statistical reasoning influenced Planck’s eventual treatment of energy elements.Boltzmann constantRelated: The constant honors the physicist whose ideas connected microscopic states with thermodynamic entropy.Boltzmann distributionRelated: His work established the statistical interpretation associated with this distribution.Stefan–Boltzmann lawRelated: In 1884 he derived the law using thermodynamics and electromagnetic theory.University of ViennaRelated: He held a physics professorship at Vienna during a formative period in theoretical physics.Maxwell–Boltzmann distributionRelated: Boltzmann extended the kinetic theory and connected molecular statistics with thermodynamics.Ernst MachCompared with: Boltzmann’s atomism opposed Mach’s skepticism about claims that exceeded direct experience.Ultraviolet catastropheRelated: His statistical methods helped establish the framework Planck later used.Rudolf ClausiusRelated: Boltzmann gave a molecular interpretation to the entropy Clausius had introduced macroscopically.Boltzmann equationRelated: He formulated the equation and connected its dynamics to thermodynamic irreversibility.Time-reversal symmetryRelated: His work exposed the tension between reversible microscopic dynamics and irreversible thermodynamic behavior.Arrow of timeRelated: His work connected entropy increase with the statistical behavior of microscopic systems.Ergodic theoryRelated: His work framed the problem of deriving statistical laws from microscopic motion.Maxwell–Boltzmann statisticsRelated: He generalized molecular statistics and connected microscopic arrangements to thermodynamic behavior.Gas constantRelated: His work supplied the microscopic interpretation behind R = NAk.Maxwell's demonRelated: Boltzmann’s account of entropy gives the statistical framework in which the demon’s apparent violation is assessed.Loschmidt's paradoxRelated: His H-theorem became the central target of Loschmidt's challenge.Nonequilibrium thermodynamicsRelated: His statistical account of entropy helped frame the microscopic origins of irreversibility.Boltzmann brainRelated: His account of entropy made rare low-entropy fluctuations a cosmological possibility.Jean PerrinRelated: Perrin’s results supplied evidence for the molecular ideas Boltzmann had championed.Wilhelm WienRelated: Boltzmann’s statistical approach influenced the theoretical foundations of Wien’s radiation work.Classical physicsRelated: His work connected macroscopic thermodynamics with microscopic particle models.Boltzmann's entropy formulaRelated: His work established the connection between entropy and microscopic multiplicity.Paul EhrenfestRelated: Boltzmann’s ideas strongly shaped Ehrenfest’s approach to statistical physics.Ergodic theoremRelated: His ergodic hypothesis motivated mathematical efforts to justify statistical averages.Classical statistical mechanicsRelated: His work connected entropy with microscopic probabilities and states.History of thermodynamicsRelated: He linked entropy and macroscopic laws to the probable behavior of molecular states.Ilya PrigogineRelated: Prigogine revisited the relation between microscopic dynamics and macroscopic irreversibility.Stefan–Boltzmann constantRelated: His theoretical derivation turned Stefan’s empirical result into a physical law.Laws of thermodynamicsRelated: His statistical account links thermodynamic laws to microscopic physics.