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China Plastics ›› 2021, Vol. 35 ›› Issue (7): 126-133.DOI: 10.19491/j.issn.1001-9278.2021.07.020
• Review • Previous Articles Next Articles
DONG Xingtong1, WANG Xiangdong1, SUN Xiaohong2, CHEN Shihong1()
Received:
2021-03-08
Online:
2021-07-26
Published:
2021-07-21
CLC Number:
DONG Xingtong, WANG Xiangdong, SUN Xiaohong, CHEN Shihong. Research Progress in Density Functional Theory Used in Field of Polymer Foaming[J]. China Plastics, 2021, 35(7): 126-133.
1 | NOFAR M,PARK C B.Poly (Lactic Acid) Foaming[J].Progress in Polymer Science,2014,39(10):1 721⁃1 741. |
2 | VOSEL S,ONISCHUK A,PURTOV P,et al.Classical Nucleation Theory[M].New York: Aerosols Handbook,2012:503⁃528. |
3 | LIU W K,KARPOV E G,ZHANG S,et al.An Introduction to Computational Nanomechanics and Materials[J].Computer Methods in Applied Mechanics & Engineering,2015,193(17/20):1 529⁃1 578. |
4 | HALL L M,JAYARAMAN A,SCHWEIZER K S.Molecu⁃lar Theories of Polymer Nanocomposites[J].Current Opi⁃nion in Solid State & Materials Science,2010,14(2):38⁃48. |
5 | ROSSKY, PETER J. The Structure of Polar Molecular Liquids[J]. Annual Review of Physical Chemistry, 2003, 36(1):321⁃346. |
6 | DOBRYNIN A V, RUBINSTEIN M. Theory of Polye⁃lectrolytes in Solutions and at Surfaces[J]. Progress in Polymer Science, 2005, 30(11):1 049⁃1 118. |
7 | KIERLIK E, ROSINBERG M L. Perturbation Density Functional Theory for Polyatomic Fluids. III. Application to Hard Chain Molecules in Slitlike Pores[J]. Journal of Chemical Physics, 1994, 100(2):1 716⁃1 730. |
8 | YETHIRAJ A, WOODWARD C E. Monte Carlo Density Functional Theory of Nonuniform Polymer Melts[J]. Journal of Chemical Physics, 1995, 102(13):5 499⁃5 505. |
9 | HOOPER J B, SCHWEIZER K S. Theory of Phase Separation in Polymer Nanocomposites[J]. Macromolecules, 2015, 39(15):5 133⁃5 142. |
10 | CAI J, LIU H, HU Y. Density Functional Theory and Monte Carlo Simulation of Mixtures of Hard Sphere Chains Confined in A Slit[J]. Fluid Phase Equilibria, 2002, 194(1):281⁃287. |
11 | RIVERA O. Molecular Simulation of Liquid Crystals: Phase Equilibrium and the Solubility of Gases in Ordered Fluids[J]. 2016:2. |
12 | PROCTOR J E, MAYNARD⁃CASELY H E. Equations of State for Fluids[M]. Boca Raton: The Liquid and Supercritical Fluid States of Matter,2020:31⁃46. |
13 | CARNAHAN N F, STARLING K E. Intermolecular Repulsions and the Equation of State for Fluids[J]. Aiche Journal, 2010, 18(6):1 184⁃1 189. |
14 | YE Z C, CAI J, LIU H L, HU Y. Density and Chain Conformation Profiles of Square⁃Well Chains Confined in A Slit by Density⁃Functional Theory[J]. The Journal of Chemical Physics, 2005,123(19):194902. |
15 | DIAMANTONIS N I, ECONOMOU I G. Evaluation of Statistical Associating Fluid Theory (SAFT) and Perturbed Chain⁃SAFT Equations of State for the Calculation of Thermodynamic Derivative Properties of Fluids Related to Carbon Capture and Sequestration[J]. Energy & Fuels, 2011, 25(7/8):3 334–3 343. |
16 | LAFITTE T, MENDIBOURE B, PINEIRO, MANUEL M, et al. Interfacial Properties of Water/CO2: A Comprehensive Description through A Gradient Theory⁃SAFT⁃VR Mie Approach[J]. Journal of Physical Chemistry B, 2010, 114(34):11 110⁃11 116. |
17 | CHEN H X, YE Z, PENG C, et al. Density Functional Theory for the Recognition of Polymer at Nanopatterned Surface[J]. Journal of Chemical Physics, 2006, 125(20):3 157. |
18 | CHEN X, SUN L, LIU H, et al. A New Lattice Density Functional Theory for Polymer Adsorption at Solid⁃Liquid Interface[J]. Journal of Chemical Physics, 2009, 131(4):537. |
19 | FRAAIJE J, NATH S K, REMERIE K, et al. Phase Evolution Theory for Polymer Blends with Extreme Chemical Dispersity: Parameterization of DDFT Simulations and Application to Poly(propylene) Impact Copolymers[J]. Macromolecular Theory and Simulations, 2011, 20(2):133⁃145. |
20 | EVANS R. Density Functionals in the Theory of Non⁃Uniform Fluids[J]. Fundamentals of Inhomogeneous Fluids, 1992, 90:85⁃175. |
21 | WU J. Density Functional Theory for Chemical Engineering: From Capillarity to Soft Materials[J]. Aiche Journal, 2006, 52(3): 1 169⁃1 193. |
22 | LUTSKO J F. Recent Developments in Classical Density Functional Theory[J]. Advances in Chemical Physics, 2010, 144(1):1. |
23 | HAATAJA M, GRÁNÁSY, LÁSZLÓ, LWEN H. Classical Density Functional Theory Methods in Soft and Hard Matter[J]. Journal of Physics Condensed Matter an Institute of Physics Journal, 2010, 22(36):360301. |
24 | SCHMIDT M, BURGIS M, DWANDARU W S B, et al. Recent Developments in Classical Density Functional Theory: Internal Energy Functional and Diagrammatic Structure of Fundamental Measure Theory[J]. Condensed Matter Physics, 2012, 15:43603. |
25 | MARSHALL B D, CHAPMAN W G. Higher Order Classical Density Functional Theory for Branched Chains and Rings[J]. Journal of Physical Chemistry B, 2011, 115(50):15 036⁃15 047. |
26 | JAIN S, DOMINIK A, CHAPMAN W G. Modified Interfacial Statistical Associating Fluid Theory: A Perturbation Density Functional Theory for Inhomogeneous Complex Fluids[J]. Journal of Chemical Physics, 2007, 127(24):094506. |
27 | ZAWADA A, KACZMAREK⁃KĘDZIERA A, BARTKOWIAK W. On the Potential Application of DFT Me⁃thods in Predicting the Interaction⁃Induced Electric Properties of Molecular Complexes. Molecular H⁃Bonded Chains as a Case of Study[J]. Journal of Molecular Mode⁃ling, 2012, 18(7):3 073⁃3 086. |
28 | JESSIC A, HUGHE S, ERI C, et al. A Classical Density⁃Functional Theory for Describing Water Interfaces[J]. The Journal of Chemical Physics, 2013, 138(2):24 509⁃24 509. |
29 | 王 岗, 陈静波. 聚合物发泡成型研究进展[J]. 精密成形工程, 2016,8(1):21⁃26. |
WANG G, CHEN J B. Progress in Polymer Foaming Mold[J]. Journal of Netshape Forming Engineering, 2016,8(1):21⁃26. | |
30 | JACOBS L J M, KEMMERE M F, KEURENTJES J T F. Sustainable Polymer Foaming Using High Pressure Carbon Dioxide: A Review on Fundamentals, Processes and Applications[J]. Green Chemistry, 2008(10): 731⁃738. |
31 | WANG X, MI J, ZHONG C. Density Functional Theory for Crystal⁃Liquid Interfaces of Lennard⁃Jones Fluid[J]. The Journal of Chemical Physics, 2013, 138(16):164704. |
32 | SANTOS A. Chemical⁃Potential Route: A Hidden Percus⁃Yevick Equation of State for Hard Spheres[J]. Physical Review Letters, 2012, 109(12):120601. |
33 | 叶贞成,刘洪来,胡 英. 非均匀流体密度泛函理论研究进展[J]. 中国科技论文在线, 2006,1(1):1⁃12. |
YE Z C, LIU H L, HU Y. Progress on the Density Functional Theory of Nonuniform Fluid[J]. Sciencepaper Online, 2006,1(1):1⁃12. | |
34 | 周 迪. 均相与非均相气泡/液滴成核密度泛函理论研究[D]. 北京:北京化工大学, 2012. |
35 | ZHOU D, ZENG M, MI J G, et al. Theoretical Study of Phase Transition, Surface Tension, and Nucleation Rate Predictions for Argon[J]. Journal of Physical Chemistry B, 2011, 115(1):57⁃63. |
36 | SINHA S, BHABHE A, LAKSMONO H, et al. Argon Nucleation in A Cryogenic Supersonic Nozzle[J]. Journal of Chemical Physics, 2010, 132(6):154506. |
37 | DAMMER S M, LOHSE D. Gas Enrichment at Liquid⁃Wall Interfaces[J]. Physical Review Letters, 2006, 96(20):206101. |
38 | LEE J, ALURU N R. Mechanistic Analysis of Gas Enrichment in Gas–Water Mixtures near Extended Surfaces[J]. The Journal of Physical Chemistry C, 2011,115(35): 17 495–17 502. |
39 | BYKOV T V, ZENG X C. Heterogeneous Nucleation on Mesoscopic Wettable Particles: A Hybrid Thermodyna⁃mic/Density⁃Functional Theory[J]. The Journal of Chemical Physics, 2002, 117(4):1 851⁃1 868. |
40 | WENNBERG C L, MURTOLA T, PALL S, et al. Direct⁃Space Corrections Enable Fast and Accurate Lorentz⁃Berthelot Combination Rule Lennard⁃Jones Lattice Summation[J]. Journal of Chemical Theory & Computation, 2015, 11(12):5 737⁃5 746. |
41 | ZHOU D, MI J, ZHONG C. Theoretical Study of Dissolved Gas at A Hydrophobic Interface[J]. Journal of Physical Chemistry C, 2012, 116(4):3 042–3 049. |
42 | JOHNSTON K P, ECKERT C A. An Analytical Carnahan⁃Starling⁃van der Waals Model for Solubility of Hydrocarbon Solids in Supercritical Fluids[J]. Aiche Journal, 2010, 27(5):773⁃779. |
43 | MITCHELL L A, SCHINDLER B, DAS G, et al. 376124 Development and Application of the SAFT⁃FMT⁃DFT Approach for Adsorption Equilibrium[C]// AICHE Annual Conference. Atlanta: The Journal of Physical Chemistry C, 2014:1 457⁃1 463. |
44 | SANTOS A, ROHRMANN R D. Chemical⁃Potential Route for Multicomponent Fluids[J]. Physical Review E, 2013,87(5): 052138. |
45 | TANG Y. On the First⁃Order Mean Spherical Approximation[J]. Journal of Chemical Physics, 2003, 118(9):4 140⁃4 148. |
46 | KENTARO K A, DAISUKE Y B, HIROFUMI S A. The Development of a Revised Version of Multi⁃Center Molecular Ornstein⁃Zernike Equation[J]. Chemical Phy⁃sics Letters, 2012, 531(4):223⁃228. |
47 | PENG B, YU Y X. A Density Functional Theory with A Mean⁃Field Weight Function: Applications to Surface Tension, Adsorption, and Phase Transition of a Lennard⁃Jones Fluid in A Slit⁃Like Pore[J]. Journal of Physical Chemistry B, 2008, 112(48):15 407⁃15 416. |
48 | YUTA A, KAZUHIRO F. Modified Benedict⁃Webb⁃Rubin Equation of State for the Modified Lennard⁃Jones Fluid[J]. Journal of the Physical Society of Japan, 2014, 83(3), 034601. |
49 | 曾 鸣. 受限流体与材料表面性质密度泛函理论研究[D].北京:北京化工大学, 2011. |
50 | WEMHOFF A P. Extension of the Neoclassical Theory of Capillarity to Advanced Cubic Equations of State[J]. International Journal of Thermophysics, 2010, 31(2):253⁃275. |
51 | RENYI R, ZHANG A, ALEXEI W, et al. Nucleation and Growth of Nanoparticles in the Atmosphere[J]. Chemical Reviews, 2012, 112(3): 1 957⁃2 011. |
52 | BYKOV T V, ZENG X C. Homogeneous Nucleation at High Supersaturation and Heterogeneous Nucleation on Microscopic Wettable Particles: A Hybrid Termodyna⁃mic/Density⁃Functional Theory[J]. Journal of Chemical Physics, 2006, 125(14):144515. |
53 | MARMUR A, KRASOVITSKI B. Line Tension on Curved Surfaces: Liquid Drops on Solid Micro⁃ and Nanospheres[J]. Langmuir, 2002, 18(23):8 919⁃8 923. |
54 | DJIKAEV Y, WIDOM B. Geometric View of the Thermodynamics of Adsorption at A Line of Three⁃phase Contact[J]. Journal of Chemical Physics, 2004, 121(12):5 602⁃5 610. |
55 | INDEKEU J O, KOGA K, WIDOM B. How Much Does the Core Structure of a Three⁃Phase Contact Line Contribute to the Line Tension near A Wetting Transition[J]. Journal of Physics Condensed Matter an Institute of Physics Journal, 2011, 23(19):194101. |
56 | ZENG M, MI J, ZHONG C. Wetting Behavior of Sphe⁃rical Nanoparticles at a Vapor⁃liquid Interface: A Density Functional Theory Study[J]. Physical Chemistry Chemical Physics, 2011, 13(9):3 932⁃3 941. |
57 | LUO Y W, XIN C L, SUN J, et al. Study on the Foaming Behavior of PS⁃CO2 by Using Water or Ethanol as Co⁃Blowing Agent[J]. Advanced Materials Research, 2013, 748:112⁃116. |
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