0000000000485253

AUTHOR

Peter Koß

showing 3 related works from this author

Estimation of Nucleation Barriers from Simulations of Crystal Nuclei Surrounded by Fluid in Equilibrium

2016

Nucleation rates for homogeneous nucleation are commonly estimated in terms of an Arrhenius law involving the nucleation barrier, written in terms of a competition of the contribution in surface free energy of the nucleus and the free energy gain proportional to the nucleus volume. For crystal nuclei this “classical nucleation theory” is hampered by the problem that the nucleus in general is non spherical, since the interfacial excess free energy depends on the orientation of the interface relative to the crystal axes. This problem can be avoided by analyzing the equilibrium of a crystal nucleus surrounded by fluid in a small simulation box in thermal equilibrium. Estimating the fluid press…

Thermal equilibriumArrhenius equationCrystalsymbols.namesakeWork (thermodynamics)Equation of stateChemistryChemical physicssymbolsNucleationClassical nucleation theoryStatistical physicsSurface energy
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The phase coexistence method to obtain surface free energies and nucleation barriers: a brief review

2018

A recently developed method where one analyses the finite size effects associated with liquid–solid phase equilibria including vapour–crystal coexistence is briefly reviewed. It is shown that the e...

inorganic chemicalsSurface (mathematics)Materials scienceBiophysicsNucleation010402 general chemistryCondensed Matter Physics01 natural sciences0104 chemical scienceslaw.inventionColloidChemical physicslawPhase (matter)biological sciences0103 physical sciencesFree energiesPhysical and Theoretical ChemistryCrystallization010306 general physicsMolecular BiologyMolecular Physics
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Free-energy barriers for crystal nucleation from fluid phases.

2017

Monte Carlo simulations of crystal nuclei coexisting with the fluid phase in thermal equilibrium in finite volumes are presented and analyzed, for fluid densities from dense melts to the vapor. Generalizing the lever-rule for two-phase coexistence in the canonical ensemble to finite volume, "measurements" of the nucleus volume together with the pressure and chemical potential of the surrounding fluid allows to extract the surface free energy of the nucleus. Neither the knowledge of the (in general non-spherical) nucleus shape nor of the angle-dependent interface tension is required for this task. The feasibility of the approach is demonstrated for a variant of the Asakura-Oosawa model for c…

PhysicsThermal equilibriumCanonical ensembleStatistical Mechanics (cond-mat.stat-mech)010304 chemical physicsNucleationFOS: Physical sciencesColloidal crystalAtomic packing factor01 natural sciencesMolecular physicsSurface energyCrystalCondensed Matter::Soft Condensed Matter0103 physical sciences010306 general physicsEnergy (signal processing)Condensed Matter - Statistical MechanicsPhysical review. E
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