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The emission of nuclear clusters is investigated within the framework ofisospin dependent lattice gas model and classical molecular dynamics model. Itis found that the emission of individual cluster which is heavier than protonis almost Poissonian except near the transition temperature at which the systemis leaving the liquid-vapor phase coexistence and the thermal scaling isobserved by the linear Arrhenius plots which is made from the averagemultiplicity of each cluster versus the inverse of temperature in the liquidvapor phase coexistence. The slopes of the Arrhenius plots, {\it i.e.} the"emission barriers", are extracted as a function of the mass or charge numberand fitted by the formula embodied with the contributions of the surface energyand Coulomb interaction. The good agreements are obtained in comparison withthe data for low energy conditional barriers. In addition, the possibleinfluences of the source size, Coulomb interaction and "freeze-out" density andrelated physical implications are discussed

Statistical nature of cluster emission in nuclear liquid–vapour phase coexistence