Journal
PHYSICAL REVIEW LETTERS
Volume 109, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.240601
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Funding
- Deutsche Forschungsgemeinschaft DFG via the Research Unit Nonlinear Response to Probe Vitrification'' [FOR1394]
- Cluster of Excellence Engineering of Advanced Materials at the University of Erlangen-Nuremberg
- DFG within the framework of its Excellence Initiative
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For extremely confined fluids with a two-dimensional density n in slit geometry of an accessible width L, we prove that in the limit L -> 0, the lateral and transversal degrees of freedom decouple, and the latter become ideal-gas-like. For a small wall separation, the transverse degrees of freedom can be integrated out and renormalize the interaction potential. We identify nL(2) as the hidden smallness parameter of the confinement problem and evaluate the effective two-body potential analytically, which allows calculating the leading correction to the free energy exactly. Explicitly, we map a fluid of hard spheres in extreme confinement onto a 2D fluid of disks with an effective hard-core diameter and a soft boundary layer. Two-dimensional phase transitions are robust and the transition point experiences a shift O(nL(2)). DOI: 10.1103/PhysRevLett.109.240601
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