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MOLECULAR DYNAMIC SIMULATION AND EQUATION OF STATE OF LENNARD-JONES CHAIN FLUIDS
Korean Journal of Chemical Engineering, September 1998, 15(5), 544-551(8), 10.1007/BF02707107
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Abstract
In order to study the thermodynamic properties of chain and polymeric fluids at the molecular level, we perform constant temperature molecular dynamics simulations of 'repulsive' and 'full' Lennard-Jones (LJ) chain fluids of lengths up to 16. In the simulation, the RATTLE algorithm to determine constraint forces and the Nose-Hoover thermostat to sample the canonical ensemble are used. For repulsive LJ chains, the compressibility factor of the chain fluids is predicted from first-order thermodynamic perturbation theory combined with the Week-Chandler-An-dersen (TPT1-WCA) perturbation theory, and is compared to the simulation results. A good agreement between the theory and the simulation results is found particularly at liquid-like densities. For full LJ chains, two different versions of TPT1 are used to calculate the compressibility factor : one is TPT1-WCA, and the other is TPT1 with the Percus-Yevick approximation for the radial distribution function of the LJ spheres (TPT1-PY). At low and intermediate densities, TPT1-PY gives better predictions for the compressibility of the LJ chain fluids, whereas at high densities TPT1-WCA is more reliable.
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References
Allen MP, Tildesley DJ, "Computer Simulation of Liquids," Clarendon Press, Oxford (1987)
Andersen HC, J. Comput. Phys., 52, 24 (1983)
Banaszak M, Chiew YC, Olenick R, Radosz M, J. Chem. Phys., 100(5), 3803 (1994)
Chang J, Sandler SI, Chem. Eng. Sci., 49(17), 2777 (1994)
Chapman WG, Jackson G, Gubbins KE, Mol. Phys., 65, 1057 (1988)
Chapman WG, Gubbins KE, Jackson G, Radosz M, Ind. Eng. Chem. Res., 29, 1709 (1990)
Gao J, Weiner JH, J. Chem. Phys., 91, 3168 (1989)
Ghonasgi D, Chapman WG, J. Chem. Phys., 100(9), 6633 (1994)
Honnell KG, Hall CK, J. Chem. Phys., 90, 1841 (1989)
Hoover WG, Phys. Rev., A, 31, 1695 (1985)
Huang SH, Radosz M, Ind. Eng. Chem. Res., 29, 2284 (1990)
Johnson JK, Muller EA, Gubbins KE, J. Phys. Chem., 98(25), 6413 (1994)
Lee LL, "Molecular Thermodynamics of Nonideal Fluids," Butterworths (1988)
Li XJ, Chiew YC, Chem. Eng. Sci., 49(17), 2805 (1994)
Li XJ, Chiew YC, J. Chem. Phys., 101(3), 2522 (1994)
Nicolas JJ, Gubbins KE, Streett WB, Tildesley DJ, Mol. Phys., 37, 1429 (1979)
Nose S, Mol. Phys., 52, 255 (1984)
Panagiotopoulos AZ, Mol. Phys., 61, 813 (1987)
Ryckaert JP, Ciccotti G, Berendsen HJC, J. Comput. Phys., 23, 327 (1977)
Tavares FW, Chang J, Sandler SI, Mol. Phys., 86, 1451 (1995)
Verlet L, Weis JJ, Phys. Rev., A, 5, 939 (1972)
Weeks JD, Chandler D, Andersen HC, J. Chem. Phys., 54, 5237 (1971)
Wertheim MS, J. Stat. Phys., 35, 19 (1984)
Wertheim MS, J. Stat. Phys., 35, 35 (1984)
Wertheim MS, J. Stat. Phys., 42, 459 (1986)
Wertheim MS, J. Stat. Phys., 42, 477 (1986)
Wertheim MS, J. Chem. Phys., 87, 7323 (1987)
Andersen HC, J. Comput. Phys., 52, 24 (1983)
Banaszak M, Chiew YC, Olenick R, Radosz M, J. Chem. Phys., 100(5), 3803 (1994)
Chang J, Sandler SI, Chem. Eng. Sci., 49(17), 2777 (1994)
Chapman WG, Jackson G, Gubbins KE, Mol. Phys., 65, 1057 (1988)
Chapman WG, Gubbins KE, Jackson G, Radosz M, Ind. Eng. Chem. Res., 29, 1709 (1990)
Gao J, Weiner JH, J. Chem. Phys., 91, 3168 (1989)
Ghonasgi D, Chapman WG, J. Chem. Phys., 100(9), 6633 (1994)
Honnell KG, Hall CK, J. Chem. Phys., 90, 1841 (1989)
Hoover WG, Phys. Rev., A, 31, 1695 (1985)
Huang SH, Radosz M, Ind. Eng. Chem. Res., 29, 2284 (1990)
Johnson JK, Muller EA, Gubbins KE, J. Phys. Chem., 98(25), 6413 (1994)
Lee LL, "Molecular Thermodynamics of Nonideal Fluids," Butterworths (1988)
Li XJ, Chiew YC, Chem. Eng. Sci., 49(17), 2805 (1994)
Li XJ, Chiew YC, J. Chem. Phys., 101(3), 2522 (1994)
Nicolas JJ, Gubbins KE, Streett WB, Tildesley DJ, Mol. Phys., 37, 1429 (1979)
Nose S, Mol. Phys., 52, 255 (1984)
Panagiotopoulos AZ, Mol. Phys., 61, 813 (1987)
Ryckaert JP, Ciccotti G, Berendsen HJC, J. Comput. Phys., 23, 327 (1977)
Tavares FW, Chang J, Sandler SI, Mol. Phys., 86, 1451 (1995)
Verlet L, Weis JJ, Phys. Rev., A, 5, 939 (1972)
Weeks JD, Chandler D, Andersen HC, J. Chem. Phys., 54, 5237 (1971)
Wertheim MS, J. Stat. Phys., 35, 19 (1984)
Wertheim MS, J. Stat. Phys., 35, 35 (1984)
Wertheim MS, J. Stat. Phys., 42, 459 (1986)
Wertheim MS, J. Stat. Phys., 42, 477 (1986)
Wertheim MS, J. Chem. Phys., 87, 7323 (1987)