Equation of state of planar hard dumbells

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Abstract
An extension of the hard disc equation of state to planar hard dumbells is proposed and the determination of the characteristic geometric measures of dumbells with the reduced length L* ⩽ ⅈ2 is discussed. The second and third virial coefficients following from the proposed equation of state are evaluated and compared with the exact Monte Carlo data. Compressibility factors for four different elongations are calculated and compared with pseudoexperimental data and with results of other methods.

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