Abstract
Recent Monte Carlo simulations on the Kern and Frenkel model of a Janus fluid have revealed that in the vapour phase there is the formation of preferred clusters made up of a well-defined number of particles: the micelles and the vesicles. A cluster theory is developed to approximate the exact clustering properties stemming from the simulations. It is shown that the theory is able to reproduce semi-quantitatively the micellisation phenomenon.
All truths are easy to understand once they are discovered; the point is to discover them.
[Galileo Galilei (1564–1642)]
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- 1.
The quantum effects start playing a role when the de Broglie thermal wavelength \(\Lambda =\sqrt{2\pi \hbar ^2/(k_BTm)}\) becomes comparable to the particle diameter \(\sigma \). At room temperature this means that the nano-particles should have a mass of the order of \(10^{-26}\,Kg\) whereas the micro-particles should have a mass of the order of \(10^{-32}\,Kg\).
- 2.
Many different ways of defining a cluster may be proposed. This one is the most common one initially used by Gillan in the context of ionic fluids [58, 70].
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Fantoni, R. (2013). Clustering and Micellization in a Janus Fluid. In: The Janus Fluid. SpringerBriefs in Physics. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00407-5_2
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DOI: https://doi.org/10.1007/978-3-319-00407-5_2
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Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00406-8
Online ISBN: 978-3-319-00407-5
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