Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 137, Issue 6, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4740233
Keywords
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Funding
- Leverhulme Trust
- ARRS [P1-0055, J1-0908]
- University of Toulouse
- Science and Technology Facilities Council [ST/G000581/1, ST/J000434/1] Funding Source: researchfish
- STFC [ST/J000434/1, ST/G000581/1] Funding Source: UKRI
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The one-dimensional Coulomb lattice fluid in a capacitor configuration is studied. The model is formally exactly soluble via a transfer operator method within a field theoretic representation of the model. The only interactions present in the model are the one-dimensional Coulomb interaction between cations and anions and the steric interaction imposed by restricting the maximal occupancy at any lattice site to one particle. Despite the simplicity of the model, a wide range of intriguing physical phenomena arise, some of which are strongly reminiscent of those seen in experiments and numerical simulations of three-dimensional ionic liquid based capacitors. Notably, we find regimes where over-screening and density oscillations are seen near the capacitor plates. The capacitance is also shown to exhibit strong oscillations as a function of applied voltage. It is also shown that the corresponding mean-field theory misses most of these effects. The analytical results are confirmed by extensive numerical simulations. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4740233]
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