메뉴 건너뛰기




Volumn 3, Issue 1, 2007, Pages 1-19

Surface phase separation and flow in a simple model of multicomponent drops and vesicles

Author keywords

[No Author keywords available]

Indexed keywords

FLOW SEPARATION; MATHEMATICAL MODELS; PHASE SEPARATION; SHEAR FLOW; SURFACE TENSION;

EID: 34249715228     PISSN: 1555256X     EISSN: 15552578     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (39)

References (54)
  • 1
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • Adalsteinsson, D.; Sethian, J. (1999): The fast construction of extension velocities in level set methods. J. Comp. Phys., vol. 148, pp. 2-22.
    • (1999) J. Comp. Phys , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.2
  • 3
    • 22244446431 scopus 로고    scopus 로고
    • Coupling field theory with continuum mechanics: A simulation of domain formation in giant unilammellar vesicles
    • Ayton, G.; McWhirter, J.; Voth, G. (2005): Coupling field theory with continuum mechanics: A simulation of domain formation in giant unilammellar vesicles. Biophys. J., vol. 88, pp. 3855.
    • (2005) Biophys. J , vol.88 , pp. 3855
    • Ayton, G.1    McWhirter, J.2    Voth, G.3
  • 5
    • 23244446181 scopus 로고    scopus 로고
    • Membrane elasticity in giant vesicles with fluid phase coexistence
    • Baumgart, T.; Das, S.; Webb, W.; Jenkins, J. (2005): Membrane elasticity in giant vesicles with fluid phase coexistence. Biophys. J., vol. 89, pp. 1067.
    • (2005) Biophys. J , vol.89 , pp. 1067
    • Baumgart, T.1    Das, S.2    Webb, W.3    Jenkins, J.4
  • 6
    • 0242331729 scopus 로고    scopus 로고
    • Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
    • Baumgart, T.; Hess, S.; Webb, W. (2003): Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature, vol. 425, pp. 821.
    • (2003) Nature , vol.425 , pp. 821
    • Baumgart, T.1    Hess, S.2    Webb, W.3
  • 7
    • 33244464096 scopus 로고    scopus 로고
    • Phase-field approach to three-dimensional vesicle dynamics
    • Biben, T.; Kassner, K.; Misbah, C. (2005): Phase-field approach to three-dimensional vesicle dynamics. Phys. Rev. E, vol. 72, pp. 049121.
    • (2005) Phys. Rev. E , vol.72 , pp. 049121
    • Biben, T.1    Kassner, K.2    Misbah, C.3
  • 8
    • 85037221191 scopus 로고    scopus 로고
    • Tumbling of vesicles under shear flow within an advected-field approach
    • Biben, T.; Misbah, C. (2003): Tumbling of vesicles under shear flow within an advected-field approach. Phys. Rev. E, vol. 67, pp. 031908.
    • (2003) Phys. Rev. E , vol.67 , pp. 031908
    • Biben, T.1    Misbah, C.2
  • 9
    • 33744761151 scopus 로고    scopus 로고
    • Dynamic model and stationary shapes of fluid vesicles
    • Campelo, F.; Hernandez-Machado, A. (2006): Dynamic model and stationary shapes of fluid vesicles. Eur Phys. J. E, vol. 20, pp. 37.
    • (2006) Eur Phys. J. E , vol.20 , pp. 37
    • Campelo, F.1    Hernandez-Machado, A.2
  • 10
    • 0001039633 scopus 로고    scopus 로고
    • An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence
    • Cristini, V.; Blawzdziewicz, J.; Loewenberg, M. (2001): An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence. J. Comp. Phys., vol. 168, pp. 445-463.
    • (2001) J. Comp. Phys , vol.168 , pp. 445-463
    • Cristini, V.1    Blawzdziewicz, J.2    Loewenberg, M.3
  • 11
    • 3242875567 scopus 로고    scopus 로고
    • A phase-field approach in the numerical study of the elastic bending energy for vesicle membranes
    • Du, Q.; Liu, C.; Wang, X. (2004): A phase-field approach in the numerical study of the elastic bending energy for vesicle membranes. J. Comp. Phys., vol. 198, pp. 450.
    • (2004) J. Comp. Phys , vol.198 , pp. 450
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 12
    • 29144520935 scopus 로고    scopus 로고
    • Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
    • Du, Q.; Liu, C.; Wang, X. (2006): Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comp. Phys., vol. 212, pp. 757.
    • (2006) J. Comp. Phys , vol.212 , pp. 757
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 13
    • 0007373998 scopus 로고
    • A generalized diffusion equation for phase separation of a multi-component mixture with interfacial free energy. Inst. for Math. and Appl
    • Report number 887, 1991
    • Elliot, C.; Luckhaus, S. (1991): A generalized diffusion equation for phase separation of a multi-component mixture with interfacial free energy. Inst. for Math. and Appl., Report number 887, 1991.
    • (1991)
    • Elliot, C.1    Luckhaus, S.2
  • 15
    • 0346837922 scopus 로고    scopus 로고
    • A nonoscillary eulerian approach to interfaces in multimaterials flows (the ghost fluid method)
    • Fedkiw, R.; Aslam, T.; Merriman, B.; Osher, S. (1999): A nonoscillary eulerian approach to interfaces in multimaterials flows (the ghost fluid method). J. Comp. Phys., vol. 152, pp. 457-492.
    • (1999) J. Comp. Phys , vol.152 , pp. 457-492
    • Fedkiw, R.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 16
    • 10244220985 scopus 로고    scopus 로고
    • A fourth order accurate discretization for the laplace and heat equations on arbitrary domains with applications to the stefan problem
    • Gibou, F.; Fedkiw, R. (2005): A fourth order accurate discretization for the laplace and heat equations on arbitrary domains with applications to the stefan problem. J. Comp. Phys., vol. 202, pp. 577.
    • (2005) J. Comp. Phys , vol.202 , pp. 577
    • Gibou, F.1    Fedkiw, R.2
  • 17
    • 8744235083 scopus 로고    scopus 로고
    • A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
    • James, A.; Lowengrub, J. (2004): A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. J. Comput. Phys., vol. 201, pp. 685-722.
    • (2004) J. Comput. Phys , vol.201 , pp. 685-722
    • James, A.1    Lowengrub, J.2
  • 18
    • 0034503787 scopus 로고    scopus 로고
    • Weighted eno schemes for hamilton-jacobi equations
    • Jiang, G.-S.; Peng, D. (2000): Weighted eno schemes for hamilton-jacobi equations. SIAM J. Sci. Comput., vol. 21, pp. 2126.
    • (2000) SIAM J. Sci. Comput , vol.21 , pp. 2126
    • Jiang, G.-S.1    Peng, D.2
  • 19
    • 0001015928 scopus 로고    scopus 로고
    • Shape transformations of vesicles with intramembrane domains
    • Julicher, F.; Lipowsky, R. (1996): Shape transformations of vesicles with intramembrane domains. Phys. Rev. E, vol. 53, pp. 2670.
    • (1996) Phys. Rev. E , vol.53 , pp. 2670
    • Julicher, F.1    Lipowsky, R.2
  • 20
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • Kang, M.; Fedkiw, R.; Liu, X. (2000): A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput., vol. 15, pp. 323-360.
    • (2000) J. Sci. Comput , vol.15 , pp. 323-360
    • Kang, M.1    Fedkiw, R.2    Liu, X.3
  • 21
    • 0001403502 scopus 로고    scopus 로고
    • Budding dynamics of multicomponent membranes
    • Kumar, P.; Gompper, G.; Lipowsky, R. (2001): Budding dynamics of multicomponent membranes. Phys. Rev. Lett., vol. 86, pp. 3911.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3911
    • Kumar, P.1    Gompper, G.2    Lipowsky, R.3
  • 22
    • 4244115501 scopus 로고    scopus 로고
    • Shape instabilities in the dynamics of a two-component fluid membrane
    • Kumar, P.; Rao, M. (1998): Shape instabilities in the dynamics of a two-component fluid membrane. Phys. Rev. Lett., vol. 80, pp. 2489.
    • (1998) Phys. Rev. Lett , vol.80 , pp. 2489
    • Kumar, P.1    Rao, M.2
  • 23
  • 24
    • 19744364063 scopus 로고    scopus 로고
    • Dynamics of domain growth in self-assembled fluid vesicles
    • Laradji, M.; Kumar, P. (2004): Dynamics of domain growth in self-assembled fluid vesicles. Phys. Rev. Lett., vol. 93, pp. 198105.
    • (2004) Phys. Rev. Lett , vol.93 , pp. 198105
    • Laradji, M.1    Kumar, P.2
  • 25
    • 34249716649 scopus 로고    scopus 로고
    • Locomotion of a viscous drop, induced by the internal. secretion of surfactant: Boundary effects
    • Lavrenteva, O.; Tsemakh, D.; Nir, A. (2005): Locomotion of a viscous drop, induced by the internal. secretion of surfactant: Boundary effects. FDMP: Fluid Dynamics & Materials Processing, vol. 1, pp. 131.
    • (2005) FDMP: Fluid Dynamics & Materials Processing , vol.1 , pp. 131
    • Lavrenteva, O.1    Tsemakh, D.2    Nir, A.3
  • 26
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque, R.; Li, Z. (1994): The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal., Vol. 31, pp. 1019-1044.
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 1019-1044
    • LeVeque, R.1    Li, Z.2
  • 27
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for stokes flow with elastic boundaries or surface tension
    • LeVeque, R.; Li, Z. (1997): Immersed interface methods for stokes flow with elastic boundaries or surface tension. SIAM. J. Sci. Comput., vol. 18, pp. 709.
    • (1997) SIAM. J. Sci. Comput , vol.18 , pp. 709
    • LeVeque, R.1    Li, Z.2
  • 28
    • 33845274729 scopus 로고    scopus 로고
    • An augmented approach for stokes equations with a discontinuous viscosity and singular forces
    • in press
    • Li, Z.; Ito, K.; Lai, M.-C. (2007): An augmented approach for stokes equations with a discontinuous viscosity and singular forces. Comp. Fluids, in press., 2007.
    • (2007) Comp. Fluids
    • Li, Z.1    Ito, K.2    Lai, M.-C.3
  • 29
    • 0025968124 scopus 로고
    • The conformation of membranes
    • Lipowsky, R. (1991): The conformation of membranes. Nature, vol. 349, pp. 475.
    • (1991) Nature , vol.349 , pp. 475
    • Lipowsky, R.1
  • 31
    • 0041152882 scopus 로고    scopus 로고
    • Quasi-incompressible cahn-hilliard fluids and topological transitions
    • Lowengrub, J.; Truskinvosky, L. (1998): Quasi-incompressible cahn-hilliard fluids and topological transitions. Proc. R. Soc. London Ser. A, vol. 454, pp. 2617.
    • (1998) Proc. R. Soc. London Ser. A , vol.454 , pp. 2617
    • Lowengrub, J.1    Truskinvosky, L.2
  • 32
    • 10844239997 scopus 로고    scopus 로고
    • Evolving interfaces via gradients of geometry-dependent interior poisson problems: Application to tumor growth
    • Macklin, P.; Lowengrub, J. (2005): Evolving interfaces via gradients of geometry-dependent interior poisson problems: application to tumor growth. J. Comp. Phys., vol. 203, pp. 191.
    • (2005) J. Comp. Phys , vol.203 , pp. 191
    • Macklin, P.1    Lowengrub, J.2
  • 33
    • 33846430932 scopus 로고    scopus 로고
    • An improved geometry-aware curvature discretization for level-set methods: Application to tumor growth
    • Macklin, P.; Lowengrub, J. (2006): An improved geometry-aware curvature discretization for level-set methods: Application to tumor growth. J. Comp. Phys., vol. 215, pp. 392.
    • (2006) J. Comp. Phys , vol.215 , pp. 392
    • Macklin, P.1    Lowengrub, J.2
  • 34
    • 28444476999 scopus 로고    scopus 로고
    • Membrane curvature and mechanisms of dynamic cell remodelling
    • McMahon, H.; Gallop, J. (2005): Membrane curvature and mechanisms of dynamic cell remodelling. Nature, vol. 438, pp. 590.
    • (2005) Nature , vol.438 , pp. 590
    • McMahon, H.1    Gallop, J.2
  • 36
    • 0004099776 scopus 로고    scopus 로고
    • Nelson, D, Piran, T, Weinberg, S, Eds, World Scientific, Singapore
    • Nelson, D.; Piran, T.; Weinberg, S. (Eds): Statistical mechanics of membranes and surfaces. World Scientific, Singapore.
    • Statistical mechanics of membranes and surfaces
  • 37
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: An overview and some recent results
    • Osher, S.; Fedkiw, R. (2001): Level set methods: An overview and some recent results. J. Comp. Phys., vol. 169, pp. 463.
    • (2001) J. Comp. Phys , vol.169 , pp. 463
    • Osher, S.1    Fedkiw, R.2
  • 38
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on hamilton-jacobi formulations
    • Osher, S.; Sethian, J. (1988): Fronts propagating with curvature dependent speed: algorithms based on hamilton-jacobi formulations. J. Comp. Phys., vol. 79, pp. 12.
    • (1988) J. Comp. Phys , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.2
  • 40
    • 0000736524 scopus 로고    scopus 로고
    • Interfacial dynamics for stokes flow
    • Pozrikidis, C. (2001): Interfacial dynamics for stokes flow. J. Comp. Phys., vol. 169, pp. 250.
    • (2001) J. Comp. Phys , vol.169 , pp. 250
    • Pozrikidis, C.1
  • 41
    • 0034629718 scopus 로고    scopus 로고
    • Nonequilibrium fluctuations, traveling waves and instabilities in active membranes
    • Ramaswamy, S.; Toner, J.; Prost, J. (2000): Nonequilibrium fluctuations, traveling waves and instabilities in active membranes. Phys. Rev. Lett., vol. 84, pp. 3494.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 3494
    • Ramaswamy, S.1    Toner, J.2    Prost, J.3
  • 42
    • 28844477191 scopus 로고    scopus 로고
    • Generation of dynamic structures in nonequilibrium reactive bilayers
    • Reigada, R.; Buceta, J.; Lindenberg, K. (2005): Generation of dynamic structures in nonequilibrium reactive bilayers. Phys. Rev. E, vol. 72, pp. 51921.
    • (2005) Phys. Rev. E , vol.72 , pp. 51921
    • Reigada, R.1    Buceta, J.2    Lindenberg, K.3
  • 43
    • 26944466699 scopus 로고    scopus 로고
    • Nonequilibrium patterns and shape fluctuations in reactive membranes
    • Reigada, R.; Buceta, J.; Lindenberg, K. (2005): Nonequilibrium patterns and shape fluctuations in reactive membranes. Phys. Rev. E, vol. 71, pp. 51906.
    • (2005) Phys. Rev. E , vol.71 , pp. 51906
    • Reigada, R.1    Buceta, J.2    Lindenberg, K.3
  • 44
    • 0242276905 scopus 로고    scopus 로고
    • Level set methods for fluid interfaces
    • Sethian, J.; Smereka, P. (2003): Level set methods for fluid interfaces. Ann. Rev. Fluid Mech., vol. 35, pp. 341.
    • (2003) Ann. Rev. Fluid Mech , vol.35 , pp. 341
    • Sethian, J.1    Smereka, P.2
  • 45
    • 25844472744 scopus 로고
    • Multiscale modeling of phase separation in mixed lipid bilayers
    • Shi, Q.; Voth, G. (1993): Multiscale modeling of phase separation in mixed lipid bilayers. Biophys. J., vol. 89, pp. 2385.
    • (1993) Biophys. J , vol.89 , pp. 2385
    • Shi, Q.1    Voth, G.2
  • 46
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretization
    • Shu, C.-W. (1988): Total-variation-diminishing time discretization. SIAM J. Sci. Stat. Comput., vol. 9, pp. 1073.
    • (1988) SIAM J. Sci. Stat. Comput , vol.9 , pp. 1073
    • Shu, C.-W.1
  • 47
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman, M.; Smereka, P.; Osher, S. (1994): A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys., vol. 114, pp. 146-159.
    • (1994) J. Comput. Phys , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 48
    • 7244255733 scopus 로고    scopus 로고
    • Shape deformation and phase separation dynamics of two-component vesicles
    • Taniguchi, T. (1996): Shape deformation and phase separation dynamics of two-component vesicles. Phys. Rev. Lett., vol. 76, pp. 4444.
    • (1996) Phys. Rev. Lett , vol.76 , pp. 4444
    • Taniguchi, T.1
  • 49
    • 41349118929 scopus 로고    scopus 로고
    • Dynamics of orientational ordering in fluid membranes
    • Uchida, N. (2002): Dynamics of orientational ordering in fluid membranes. Phys. Rev. E, vol. 66, pp. 04092.
    • (2002) Phys. Rev. E , vol.66 , pp. 04092
    • Uchida, N.1
  • 50
    • 0242385346 scopus 로고    scopus 로고
    • Separation of liquid phases in giant vesicles of ternary mixtures of phospholipids, and cholesterol
    • Veatch, S.; Keller, S. (2003): Separation of liquid phases in giant vesicles of ternary mixtures of phospholipids, and cholesterol. Biophys. J., vol. 85, pp. 3074.
    • (2003) Biophys. J , vol.85 , pp. 3074
    • Veatch, S.1    Keller, S.2
  • 51
    • 29144444774 scopus 로고    scopus 로고
    • A level set method for solving interfacial flows with surfactant
    • Xu, J.; Li, Z.; Lowengrub, J.; Zhao, H. (2006): A level set method for solving interfacial flows with surfactant. J. Comp. Phys., vol. 212, pp. 590-616.
    • (2006) J. Comp. Phys , vol.212 , pp. 590-616
    • Xu, J.1    Li, Z.2    Lowengrub, J.3    Zhao, H.4
  • 52
    • 0346640322 scopus 로고    scopus 로고
    • An eulerian formulation for solving partial differential equations along a moving interface
    • Xu, J.; Zhao, H. (2003): An eulerian formulation for solving partial differential equations along a moving interface. J. Sci. Comp., vol. 19, pp. 573-594.
    • (2003) J. Sci. Comp , vol.19 , pp. 573-594
    • Xu, J.1    Zhao, H.2
  • 53
    • 0030210970 scopus 로고    scopus 로고
    • A variational level set approach to multiphase motion
    • Zhao, H.; Chan, T.; Merriman, B.; Osher, S. (1996): A variational level set approach to multiphase motion. J. Comp. Phys., vol. 127, pp. 179-195.
    • (1996) J. Comp. Phys , vol.127 , pp. 179-195
    • Zhao, H.1    Chan, T.2    Merriman, B.3    Osher, S.4
  • 54
    • 4243232232 scopus 로고
    • Bending energy of vesicle membranes: General expressions for the first, second and third variation of the shape energy and applications to spheres and cylinders
    • Zhong-can, O.-Y.; Helfrich, W. (1989): Bending energy of vesicle membranes: General expressions for the first, second and third variation of the shape energy and applications to spheres and cylinders. Phys Rev. A, vol. 39, pp. 5280.
    • (1989) Phys Rev. A , vol.39 , pp. 5280
    • Zhong-can, O.-Y.1    Helfrich, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.