화학공학소재연구정보센터
학회 한국화학공학회
학술대회 2009년 가을 (10/22 ~ 10/23, 일산 KINTEX)
권호 15권 2호, p.2002
발표분야 열역학
제목 Mathematical modeling of discontinuity in solid-liquid transition
초록 The molecular simulation of hard-sphere[1, 2] reveals that solid-liquid transition has discontinuity which is absent in liquid-vapor transition. Recently, Yokozeki[3] proposed a simple modified van der waals equation applicable to solid-liquid transition. However, this equation has a flaw in its repulsive contribution since this contribution has negative value, inconsistent with physical meaning of repulsive contribution. In this work, we propose a repulsive contribution which is always positive over a whole density region and capable of representing discontinuity in solid-liquid transition. The proposed contribution is derived in the framework of lattice fluid by proposing an insertion probability which contains two zero point.

[1]. Alder, B.J., W.G. Hoover, and D.A. Young, Studies in Molecular Dynamics. V. High-Density Equation of State and Entropy for Hard Disks and Spheres. The Journal of Chemical Physics, 1968. 49(8): p. 3688-3696.
[2]. Alder, B.J. and T.E. Wainwright, Phase Transition in Elastic Disks. Physical Review, 1962. 127(2): p. 359.
[3]. Yokozeki, A., Analytical equation of state for solid-liquid-vapor phases. International Journal of Thermophysics, 2003. 24(3): p. 589-620.
저자 이주호, 임종성, 유기풍
소속 서강대
키워드 solid-liquid transition; insertion probability; discontinuity
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