Phase diagram of colloid-rod system

• Main Authors: Xuhui Xiao, 蕭旭暉
• Other Authors: San-Kiong Lai
• Format: Others
• Language: en_US
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/5834ac

碩士 === 國立中央大學 === 物理研究所 === 97 === The semi-grand ensemble theory [H.N.W. Lekkerkerker, Europhys. Lett. 20, 559 (1992)] in conjunction with the fundamental measure density functional theory [V.B. Warshavsky and Xueyu Song, Phys. Rev. E 69, 061113 (2004)] are used to construct the Helmholtz free energy density for both the solid and liquid phases. Given these free energy density functions, we apply the free energy density minimization method [G.F. Wang, S.K. Lai, Phys. Rev. E 70, 051402 (2004)] to crosshatch the coexistence regions of a mixture of uncharged colloidal hard spheres and colloidal rods. The calculated results show that the triangular area bounded by gas-liquid, gas-solid and liquid-solid coexisting phases which has been called coexistence region of gas-liquid-solid corresponds in fact to sets of two phases in coexistence. The phase boundaries which are delimitations of our calculated coexistence domains compare very well with previous theoretical calculations. The relevance of the phase-diagram domains to three phases in coexistence will be discussed.