Measuring the equation of state of a hard-disc fluid

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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7 pages, to appear in EPL, slightly corrected version

Scientific paper

10.1209/epl/i2003-00495-1

We use video microscopy to study a two-dimensional (2D) model fluid of charged colloidal particles suspended in water and compute the pressure from the measured particle configurations. Direct experimental control over the particle density by means of optical tweezers allows the precise measurement of pressure as a function of density. We compare our data with theoretical predictions for the equation of state, the pair-correlation function and the compressibility of a hard-disc fluid and find good agreement, both for the fluid and the solid phase. In particular the location of the transition point agrees well with results from Monte Carlo simulations.

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