Search results for "Boltzmann distribution"

showing 3 items of 13 documents

Two experiments to approach the Boltzmann factor: chemical reaction and viscous flow

2012

In this paper we discuss a pedagogical approach aimed at pointing out the role played by the Boltzmann factor in describing phenomena usually perceived as regulated by different mechanisms of functioning. Experimental results regarding some aspects of a chemical reaction and of the viscous flow of some liquids are analysed and described in terms of macroscopic variables whose temperature dependence is proportional to the Boltzmann factor. A description of a workshop implementing the approach in the framework of an undergraduate course for engineering education and some preliminary results about its pedagogical relevance are then reported.

PhysicsScience instructionSettore FIS/08 - Didattica E Storia Della Fisica05 social sciencesMaxwell–Boltzmann statisticsViscosity of liquidPhysics::Physics Education050301 educationGeneral Physics and Astronomy01 natural sciencesChemical reactionRate constantLaboratory experiments and apparatusBoltzmann distributionTheoretical physics0103 physical sciencesViscous flowFluid dynamicsActivation energyStatistical physicsBoltzmann factor010306 general physics0503 education
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On the existence of kinetic equations

1974

The existence of the Boltzmann equation and its generalizations is studied by analysing the order of magnitude of their terms. As a consequence we conclude that the reduced distribution functions are not analytic in the density.

Physicssymbols.namesakeDifferential equationLattice Boltzmann methodssymbolsStatistical mechanicsPoisson–Boltzmann equationPlasma modelingBoltzmann equationMaxwell–Boltzmann distributionBoltzmann distributionMathematical physicsIl Nuovo Cimento B Series 11
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Criteria for validity of thermodynamic equations from non-equilibrium molecular dynamics simulations

2008

Abstract The assumption of local equilibrium is validated in four different systems where heat and mass are transported. Mass fluxes up to 13 kmol / m 2 s and temperature gradients up to 10 12 K / m were used. A two-component mixture, two vapor–liquid interfaces, a chemical reaction in a temperature gradient and gas adsorbed in zeolite were studied using non-equilibrium molecular dynamics simulations. In all cases, we verified that thermodynamic variables obeyed normal thermodynamic relations, with an accuracy better than 5%. The heat and mass fluxes, and the reaction rate were linearly related to the driving forces. Onsager's reciprocal relations were validated for two systems. Equipartiti…

Thermodynamic stateThermodynamic equilibriumChemistryMechanical EngineeringThermodynamicsBuilding and ConstructionThermodynamic equationsPollutionThermodynamic systemMaxwell–Boltzmann distributionBoltzmann equationIndustrial and Manufacturing EngineeringThermodynamic squaresymbols.namesakeGeneral EnergysymbolsElectrical and Electronic EngineeringCivil and Structural EngineeringThermodynamic processEnergy
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