skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Effects of rigid or adaptive confinement on colloidal self-assembly. Fixed vs. fluctuating number of confined particles

Abstract

The effects of confinement on colloidal self-assembly in the case of fixed number of confined particles are studied in the one dimensional lattice model solved exactly in the grand canonical ensemble (GCE) in Pȩkalski et al. [J. Chem. Phys. 142, 014903 (2015)]. The model considers a pair interaction defined by a short-range attraction plus a longer-range repulsion. We consider thermodynamic states corresponding to self-assembly into clusters. Both fixed and adaptive boundaries are studied. For fixed boundaries, there are particular states in which, for equal average densities, the number of clusters in the GCE is larger than in the canonical ensemble. The dependence of pressure on density has a different form when the system size changes with fixed number of particles and when the number of particles changes with fixed size of the system. In the former case, the pressure has a nonmonotonic dependence on the system size. The anomalous increase of pressure for expanding system is accompanied by formation of a larger number of smaller clusters. In the case of elastic confining surfaces, we observe a bistability, i.e., two significantly different system sizes occur with almost the same probability. The mechanism of the bistability in the closed system is differentmore » to that of the case of permeable walls, where the two equilibrium system sizes correspond to a different number of particles.« less

Authors:
;  [1];  [2]
  1. Institute of Physical Chemistry, Polish Academy of Sciences, 01-224 Warszawa (Poland)
  2. Instituto de Química Física Rocasolano, CSIC, Serrano 119, E-28006 Madrid (Spain)
Publication Date:
OSTI Identifier:
22415882
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 142; Journal Issue: 20; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COLLOIDS; CONFINEMENT; DENSITY; EQUILIBRIUM; MATHEMATICAL MODELS; ONE-DIMENSIONAL CALCULATIONS; PAIRING INTERACTIONS; PARTICLES; PHASE STABILITY; PROBABILITY; SURFACES

Citation Formats

Pȩkalski, J., Ciach, A., and Almarza, N. G. Effects of rigid or adaptive confinement on colloidal self-assembly. Fixed vs. fluctuating number of confined particles. United States: N. p., 2015. Web. doi:10.1063/1.4921787.
Pȩkalski, J., Ciach, A., & Almarza, N. G. Effects of rigid or adaptive confinement on colloidal self-assembly. Fixed vs. fluctuating number of confined particles. United States. doi:10.1063/1.4921787.
Pȩkalski, J., Ciach, A., and Almarza, N. G. Thu . "Effects of rigid or adaptive confinement on colloidal self-assembly. Fixed vs. fluctuating number of confined particles". United States. doi:10.1063/1.4921787.
@article{osti_22415882,
title = {Effects of rigid or adaptive confinement on colloidal self-assembly. Fixed vs. fluctuating number of confined particles},
author = {Pȩkalski, J. and Ciach, A. and Almarza, N. G.},
abstractNote = {The effects of confinement on colloidal self-assembly in the case of fixed number of confined particles are studied in the one dimensional lattice model solved exactly in the grand canonical ensemble (GCE) in Pȩkalski et al. [J. Chem. Phys. 142, 014903 (2015)]. The model considers a pair interaction defined by a short-range attraction plus a longer-range repulsion. We consider thermodynamic states corresponding to self-assembly into clusters. Both fixed and adaptive boundaries are studied. For fixed boundaries, there are particular states in which, for equal average densities, the number of clusters in the GCE is larger than in the canonical ensemble. The dependence of pressure on density has a different form when the system size changes with fixed number of particles and when the number of particles changes with fixed size of the system. In the former case, the pressure has a nonmonotonic dependence on the system size. The anomalous increase of pressure for expanding system is accompanied by formation of a larger number of smaller clusters. In the case of elastic confining surfaces, we observe a bistability, i.e., two significantly different system sizes occur with almost the same probability. The mechanism of the bistability in the closed system is different to that of the case of permeable walls, where the two equilibrium system sizes correspond to a different number of particles.},
doi = {10.1063/1.4921787},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 20,
volume = 142,
place = {United States},
year = {2015},
month = {5}
}