Dynamical density functional theory for colloidal particles with arbitrary shape

被引:62
|
作者
Wittkowski, Raphael [1 ]
Loewen, Hartmut [1 ]
机构
[1] Univ Dusseldorf, Inst Theoret Phys 2, D-40225 Dusseldorf, Germany
关键词
density functional theory; dynamical density functional theory; self-propelled biaxial colloidal particles; active soft matter; Brownian dynamics of anisotropic particles; FUNDAMENTAL MEASURE-THEORY; PARALLEL HARD CUBES; BROWNIAN DYNAMICS; CRYSTALLINE; DISPERSIONS; SUSPENSIONS; MOTION; FLUIDS; NANOCRYSTALS; NONUNIFORM;
D O I
10.1080/00268976.2011.609145
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Starting from the many-particle Smoluchowski equation, we derive a dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory constitutes a microscopic framework to explore the collective dynamical behavior of biaxial particles in non-equilibrium. For spherical and uniaxial particles, earlier derived dynamical density functional theories are recovered as special cases. Our study is motivated by recent experimental progress in preparing colloidal particles with many different biaxial shapes.
引用
收藏
页码:2935 / 2943
页数:9
相关论文
共 50 条
  • [1] Dynamical density functional theory for anisotropic colloidal particles
    Rex, M.
    Wensink, H. H.
    Loewen, H.
    [J]. PHYSICAL REVIEW E, 2007, 76 (02):
  • [2] Dynamical density functional theory for colloidal dispersions including hydrodynamic interactions
    M. Rex
    H. Löwen
    [J]. The European Physical Journal E, 2009, 28 : 139 - 146
  • [3] Extended dynamical density functional theory for colloidal mixtures with temperature gradients
    Wittkowski, Raphael
    Loewen, Hartmut
    Brand, Helmut R.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2012, 137 (22):
  • [4] Dynamical Density Functional Theory for the Drying and Stratification of Binary Colloidal Dispersions
    He, Boshen
    Martin-Fabiani, Ignacio
    Roth, Roland
    Toth, Gyula, I
    Archer, Andrew J.
    [J]. LANGMUIR, 2021, 37 (04) : 1399 - 1409
  • [5] Dynamical density functional theory for colloidal dispersions including hydrodynamic interactions
    Rex, M.
    Loewen, H.
    [J]. EUROPEAN PHYSICAL JOURNAL E, 2009, 28 (02): : 139 - 146
  • [6] Dynamical density functional theory for the diffusion of injected Brownian particles
    H. Löwen
    M. Heinen
    [J]. The European Physical Journal Special Topics, 2014, 223 : 3113 - 3127
  • [7] Dynamical density functional theory for the diffusion of injected Brownian particles
    Loewen, H.
    Heinen, M.
    [J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2014, 223 (14): : 3113 - 3127
  • [8] Note: Brownian motion of colloidal particles of arbitrary shape
    Cichocki, Bogdan
    Ekiel-Jezewska, Maria L.
    Wajnryb, Eligiusz
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2016, 144 (07):
  • [9] Communication: Dynamical density functional theory for dense suspensions of colloidal hard spheres
    Stopper, Daniel
    Roth, Roland
    Hansen-Goos, Hendrik
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2015, 143 (18):
  • [10] Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
    Archer, AJ
    Rauscher, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (40): : 9325 - 9333