Structural fluctuations in ensembles of nanoparticles

Research Paper

DOI: 10.1007/s11051-008-9413-0

Cite this article as:
Vollath, D. & Fischer, F.D. J Nanopart Res (2009) 11: 647. doi:10.1007/s11051-008-9413-0


Caused by the interaction between the particles, structural fluctuations influence thermodynamics and order of transformation of an ensemble of nanoparticles. A stringed thermodynamic analysis revealed that, in fluctuating ensembles, the ratio of particle numbers in the equilibrium over the one in the non-equilibrium phase is independent of any metastable in between. Structural transformations in such ensembles, connected to latent heat, are of infinite order. These findings are summarized in a set of theorems ruling structural fluctuations. Finally, the consequences of fluctuations are demonstrated by an example.


Nanocrystalline material Transformation Non-equilibrium phase Thermodynamics Fluctuation Theory Modeling 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.NanoConsultingStutenseeGermany
  2. 2.Montanuniversität Leoben, Institute of MechanicsLeobenAustria

Personalised recommendations