Mathematical modelling of LiFePO4 cathodes
暂无分享,去创建一个
[1] Martin Z. Bazant,et al. Intercalation dynamics in rechargeable battery materials : General theory and phase-transformation waves in LiFePO4 , 2008 .
[2] Xiangyun Song,et al. A comprehensive understanding of electrode thickness effects on the electrochemical performances of Li-ion battery cathodes , 2012 .
[3] Wolfgang Dreyer,et al. The thermodynamic origin of hysteresis in insertion batteries. , 2010, Nature materials.
[4] Carl D. Meyer,et al. Matrix Analysis and Applied Linear Algebra , 2000 .
[5] Takashi Ida,et al. Isolation of Solid Solution Phases in Size‐Controlled LixFePO4 at Room Temperature , 2009 .
[6] John R. Owen,et al. How the electrolyte limits fast discharge in nanostructured batteries and supercapacitors , 2009 .
[7] James M. Hyman,et al. High order finite volume approximations of differential operators on nonuniform grids , 1992 .
[8] Wei-Jun Zhang. Structure and performance of LiFePO 4 cathode materials: A review , 2011 .
[9] Haoshen Zhou,et al. The design of a LiFePO4/carbon nanocomposite with a core-shell structure and its synthesis by an in situ polymerization restriction method. , 2008, Angewandte Chemie.
[10] M. D. Rooij,et al. Electrochemical Methods: Fundamentals and Applications , 2003 .
[11] Y. Chiang,et al. Reply to Comment on “Aliovalent Substitutions in Olivine Lithium Iron Phosphate and Impact on Structure and Properties” , 2010 .
[12] Shinichi Komaba,et al. Emulsion drying synthesis of olivine LiFePO4/C composite and its electrochemical properties as lithium intercalation material , 2004 .
[13] Venkat Srinivasan,et al. Existence of path-dependence in the LiFePO4 electrode , 2006 .
[14] Claude Brezinski,et al. Numerical Methods for Engineers and Scientists , 1992 .
[15] Kyle R Fenton,et al. Intercalation pathway in many-particle LiFePO4 electrode revealed by nanoscale state-of-charge mapping. , 2013, Nano letters.
[16] Chia-Jung Hsu. Numerical Heat Transfer and Fluid Flow , 1981 .
[17] Gerbrand Ceder,et al. Response to "unsupported claims of ultrafast charging of Li-ion batteries" , 2009 .
[18] Palani Balaya,et al. Anisotropy of Electronic and Ionic Transport in LiFePO4 Single Crystals , 2007 .
[19] Daniel A. Cogswell,et al. Coherency strain and the kinetics of phase separation in LiFePO4 nanoparticles. , 2011, ACS nano.
[20] C. Please,et al. Primary Alkaline Battery Cathodes A Three‐Scale Model , 2000 .
[21] J. Tse,et al. Li ion diffusion mechanisms in LiFePO4: an ab initio molecular dynamics study. , 2011, The journal of physical chemistry. A.
[22] Wolfgang Dreyer,et al. The behavior of a many-particle electrode in a lithium-ion battery , 2011 .
[23] E. Bertolazzi,et al. A unified treatment of boundary conditions in least-square based finite-volume methods , 2005 .
[24] Linda F. Nazar,et al. Positive Electrode Materials for Li-Ion and Li-Batteries† , 2010 .
[25] Wei-Jun Zhang. Comparison of the Rate Capacities of LiFePO4 Cathode Materials , 2010 .
[26] A. Karma,et al. Quantitative phase-field modeling of dendritic growth in two and three dimensions , 1996 .
[27] K. S. Nanjundaswamy,et al. Phospho‐olivines as Positive‐Electrode Materials for Rechargeable Lithium Batteries , 1997 .
[28] Y. Chiang,et al. Comparative Study of Lithium Transport Kinetics in Olivine Cathodes for Li-ion Batteries† , 2009 .
[29] Benjamin Donald Cumming. Modelling sea water intrusion in coastal aquifers using heterogeneous computing , 2012 .
[30] M. Behm,et al. Electrochemical characterisation and modelling of the mass transport phenomena in LiPF6–EC–EMC electrolyte , 2008 .
[31] R. Bellman. Calculus of Variations (L. E. Elsgolc) , 1963 .
[32] Hsiao-Ying Shadow Huang,et al. Strain Accommodation during Phase Transformations in Olivine‐Based Cathodes as a Materials Selection Criterion for High‐Power Rechargeable Batteries , 2007 .
[33] Linda F. Nazar,et al. Comment on “Aliovalent Substitutions in Olivine Lithium Iron Phosphate and Impact on Structure and Properties” , 2010 .
[34] Damian Burch,et al. Size-dependent spinodal and miscibility gaps for intercalation in nanoparticles. , 2009, Nano letters.
[35] Martin Z. Bazant,et al. Phase-Transformation Wave Dynamics in LiFePO4 , 2008 .
[36] J. Xie,et al. Li-ion diffusion kinetics in LiFePO4 thin film prepared by radio frequency magnetron sputtering , 2009 .
[37] Sai-Cheong Chung,et al. Optimized LiFePO4 for Lithium Battery Cathodes , 2001 .
[38] François Weill,et al. C-containing LiFePO4 materials — Part II: Electrochemical characterization , 2008 .
[39] Milo R. Dorr,et al. Anisotropic Phase Boundary Morphology in Nanoscale Olivine Electrode Particles , 2011 .
[40] Pier Paolo Prosini,et al. Determination of the chemical diffusion coefficient of lithium in LiFePO4 , 2002 .
[41] Masao Yonemura,et al. Room-temperature miscibility gap in LixFePO4 , 2006, Nature materials.
[42] Mehdi Dehghan,et al. A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn–Hilliard equation , 2009 .
[43] B. Vollmayr-Lee,et al. Fast and accurate coarsening simulation with an unconditionally stable time step. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[44] W. Craig Carter,et al. Size-Dependent Lithium Miscibility Gap in Nanoscale Li1 − x FePO4 , 2007 .
[45] S. Schougaard,et al. Ohmic Drop in LiFePO4Based Lithium Battery Cathodes Containing Agglomerates , 2012 .
[46] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy and Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid , 2013 .
[47] Palani Balaya,et al. Ionic and electronic transport in single crystalline LiFePO4 grown by optical floating zone technique , 2008 .
[48] L. Nazar,et al. Nano-network electronic conduction in iron and nickel olivine phosphates , 2004, Nature materials.
[49] A. West,et al. Electronic Conductivity of LiCoO2 and Its Enhancement by Magnesium Doping , 1997 .
[50] Linda F. Nazar,et al. Proof of Supervalent Doping in Olivine LiFePO4 , 2008 .
[51] Thomas J. Richardson,et al. Electron Microscopy Study of the LiFePO4 to FePO4 Phase Transition , 2006 .
[52] Chong Seung Yoon,et al. Synthesis of Nanowire and Hollow LiFePO4 Cathodes for High-Performance Lithium Batteries , 2008 .
[53] Steven Dargaville,et al. Predicting Active Material Utilization in LiFePO4 Electrodes Using a Multiscale Mathematical Model , 2010 .
[54] A. Yamada,et al. Experimental visualization of lithium diffusion in LixFePO4. , 2008, Nature materials.
[55] G. Ceder,et al. Elastic properties of olivine LixFePO4 from first principles , 2006 .
[56] Peter R. Slater,et al. Atomic-Scale Investigation of Defects, Dopants, and Lithium Transport in the LiFePO4 Olivine-Type Battery Material , 2005 .
[57] John Newman,et al. Electrochemical Systems, 3rd Edition , 2004 .
[58] Linda F. Nazar,et al. Approaching Theoretical Capacity of LiFePO4 at Room Temperature at High Rates , 2001 .
[59] Karim Zaghib,et al. Unsupported claims of ultrafast charging of LiFePO4 Li-ion batteries , 2009 .
[60] Nathalie Ravet,et al. On the electronic conductivity of phospho-olivines as lithium storage electrodes , 2003, Nature materials.
[61] E. Favvas,et al. What is spinodal decomposition , 2008 .
[62] M. H. Everdell. Introduction to Chemical Thermodynamics , 1965 .
[63] Lloyd N. Trefethen,et al. Fourth-Order Time-Stepping for Stiff PDEs , 2005, SIAM J. Sci. Comput..
[64] Jing-ying Xie,et al. A PVB-based rheological phase approach to nano-LiFePO4/C composite cathodes , 2008 .
[65] F. Navarrina,et al. High‐order finite volume schemes on unstructured grids using moving least‐squares reconstruction. Application to shallow water dynamics , 2006 .
[66] Xuejie Huang,et al. Research on Advanced Materials for Li‐ion Batteries , 2009 .
[67] Xincun Tang,et al. Investigation on diffusion behavior of Li+ in LiFePO4 by capacity intermittent titration technique (CITT) , 2009 .
[68] Y. Marcus,et al. Standard Partial Molar Volumes of Electrolytes and Ions in Nonaqueous Solvents , 2004 .
[69] Karim Zaghib,et al. Understanding Rate-Limiting Mechanisms in LiFePO4 Cathodes for Li-Ion Batteries , 2011 .
[70] Gene H. Golub,et al. Matrix computations , 1983 .
[71] Steve W. Martin,et al. Lithium ion conductivity in single crystal LiFePO4 , 2008 .
[72] T. Farrell,et al. Comparing Charge Transport Predictions for a Ternary Electrolyte Using the Maxwell–Stefan and Nernst–Planck Equations , 2011 .
[73] K. Zaghib,et al. Quantifying tortuosity in porous Li-ion battery materials , 2009 .
[74] M. Whittingham,et al. Electrical Energy Storage and Intercalation Chemistry , 1976, Science.
[75] Mohammadhosein Safari,et al. Analysis of lithium deinsertion/insertion in LiyFePO4 with a simple mathematical model , 2010 .
[76] Guillermo Sapiro,et al. Fourth order partial differential equations on general geometries , 2006, J. Comput. Phys..
[77] C. Kelley. Solving Nonlinear Equations with Newton's Method , 1987 .
[78] 高等学校計算数学学報編輯委員会編. 高等学校計算数学学報 = Numerical mathematics , 1979 .
[79] J. Goodenough. Challenges for Rechargeable Li Batteries , 2010 .
[80] B. Scrosati,et al. Lithium batteries: Status, prospects and future , 2010 .
[81] Sergei V. Kalinin,et al. Nanoscale mapping of ion diffusion in a lithium-ion battery cathode. , 2010, Nature nanotechnology.
[82] Robert Dominko,et al. Is small particle size more important than carbon coating? An example study on LiFePO4 cathodes , 2007 .
[83] Ming Tang,et al. Model for the Particle Size, Overpotential, and Strain Dependence of Phase Transition Pathways in Storage Electrodes: Application to Nanoscale Olivines , 2009 .
[84] D. Keyes,et al. Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .
[85] Venkat Srinivasan,et al. Discharge Model for the Lithium Iron-Phosphate Electrode , 2004 .
[86] E. Bruce Nauman,et al. Nonlinear diffusion and phase separation , 2001 .
[87] Montse Casas-Cabanas,et al. Room-temperature single-phase Li insertion/extraction in nanoscale Li(x)FePO4. , 2008, Nature materials.
[88] Daniel A. Cogswell,et al. Suppression of phase separation in LiFePO₄ nanoparticles during battery discharge. , 2011, Nano letters.
[89] Yet-Ming Chiang,et al. Aliovalent Substitutions in Olivine Lithium Iron Phosphate and Impact on Structure and Properties , 2009 .
[90] Jean-Marie Tarascon,et al. Hunting for Better Li-Based Electrode Materials via Low Temperature Inorganic Synthesis† , 2010 .
[91] S. M. Choo,et al. Conservative nonlinear difference scheme for the Cahn-Hilliard equation—II , 1998 .
[92] Robert Nürnberg,et al. Adaptive finite element methods for Cahn-Hilliard equations , 2008 .
[93] J. Newman,et al. Theoretical Analysis of Current Distribution in Porous Electrodes , 1962 .
[94] Jinbao Zhao,et al. Novel electrolytes based on aliphatic oligoether dendrons , 2009 .
[95] John R. King,et al. Regularization by Kinetic Undercooling of Blow-up in the Ill-posed Stefan Problem , 2005, SIAM J. Appl. Math..
[96] Ming Wang,et al. A nonconforming finite element method for the Cahn-Hilliard equation , 2010, J. Comput. Phys..
[97] Pedro E. Arce,et al. Discharge Model for LiFePO4 Accounting for the Solid Solution Range , 2008 .
[98] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[99] Steven Dargaville,et al. The persistence of phase-separation in LiFePO4 with two-dimensional Li+ transport : the Cahn-Hilliard-reaction equation and the role of defects , 2013 .
[100] Y. Chiang,et al. Modeling the competing phase transition pathways in nanoscale olivine electrodes , 2010 .
[101] Q. Zhang,et al. Moving Boundary Model for the Discharge of a LiCoO2 Electrode , 2007, ECS Transactions.
[102] Martin Z. Bazant,et al. Nonequilibrium Thermodynamics of Porous Electrodes , 2012, 1204.2934.
[103] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[104] J. Newman,et al. Simulation of Recombinant Lead‐Acid Batteries , 1997 .
[105] Yan Xu,et al. Local discontinuous Galerkin methods for the Cahn-Hilliard type equations , 2007, J. Comput. Phys..
[106] Frédéric Bernard,et al. Characteristics of LiFePO4 obtained through a one step continuous hydrothermal synthesis process working in supercritical water , 2009 .
[107] V. S. Vaidhyanathan,et al. Transport phenomena , 2005, Experientia.
[108] Jaime Peraire,et al. A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations , 2008, J. Comput. Phys..
[109] I. Turner,et al. Error Bounds for Least Squares Gradient Estimates , 2010, SIAM J. Sci. Comput..
[110] Martin Z Bazant,et al. Theory of chemical kinetics and charge transfer based on nonequilibrium thermodynamics. , 2012, Accounts of chemical research.
[111] M. Safari,et al. Mathematical Modeling of Lithium Iron Phosphate Electrode: Galvanostatic Charge/Discharge and Path Dependence , 2011 .
[112] J. Lowengrub,et al. Conservative multigrid methods for Cahn-Hilliard fluids , 2004 .
[113] J. Cahn. Coherent fluctuations and nucleation in isotropic solids , 1962 .
[114] Jean-Marie Tarascon,et al. The existence of a temperature-driven solid solution in LixFePO4 for 0 ≤ x ≤ 1 , 2005 .
[115] Joseph F. Zemaitis,et al. Handbook of aqueous electrolyte thermodynamics : theory & application , 1986 .
[116] J. Navarro-Pedreño. Numerical Methods for Least Squares Problems , 1996 .
[117] J. Crank. Free and moving boundary problems , 1984 .
[118] Rahul Malik,et al. Particle size dependence of the ionic diffusivity. , 2010, Nano letters.
[119] Damian Burch,et al. Intercalation dynamics in lithium-ion batteries , 2009 .
[120] W. Craig Carter,et al. Electrochemically Driven Phase Transitions in Insertion Electrodes for Lithium-Ion Batteries: Examples in Lithium Metal Phosphate Olivines , 2010 .
[121] John Newman,et al. Measuring the Salt Activity Coefficient in Lithium-Battery Electrolytes , 2008 .
[122] Phase field theory of heterogeneous crystal nucleation. , 2006, Physical review letters.
[123] T. R. Jow,et al. Analysis of the FePO4 to LiFePO4 phase transition , 2008 .
[124] Carol S. Woodward,et al. Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers , 2020, ACM Trans. Math. Softw..
[125] Hongrui Peng,et al. Synthesis and electrochemical properties of LiFePO4 single-crystalline nanoplates dominated with bc-planes , 2012 .
[126] Guangchuan Liang,et al. LiFePO4 doped with magnesium prepared by hydrothermal reaction in glucose solution , 2008 .
[127] Xiangyun Song,et al. Cooperation between Active Material, Polymeric Binder and Conductive Carbon Additive in Lithium Ion Battery Cathode , 2012 .
[128] K. P.,et al. HIGH RESOLUTION SCHEMES USING FLUX LIMITERS FOR HYPERBOLIC CONSERVATION LAWS * , 2012 .
[129] M. Whittingham,et al. Lithium batteries and cathode materials. , 2004, Chemical reviews.
[130] Stefan Adams,et al. Lithium ion pathways in LiFePO4 and related olivines , 2010 .
[131] A. Manthiram,et al. Comparison of Microwave Assisted Solvothermal and Hydrothermal Syntheses of LiFePO4/C Nanocomposite Cathodes for Lithium Ion Batteries , 2008 .
[132] Lixia Yuan,et al. Development and challenges of LiFePO4 cathode material for lithium-ion batteries , 2011 .
[133] Charles Delacourt,et al. Study of the LiFePO4/FePO4 Two-Phase System by High-Resolution Electron Energy Loss Spectroscopy , 2006 .
[134] D. Uskoković,et al. A review of recent developments in the synthesis procedures of lithium iron phosphate powders , 2009 .
[135] Akiko Nakashima,et al. Preparation of dense LiFePO4/C composite positive electrodes using spark-plasma-sintering process , 2005 .
[136] E. Teller,et al. ADSORPTION OF GASES IN MULTIMOLECULAR LAYERS , 1938 .
[137] Yinnian He,et al. On large time-stepping methods for the Cahn--Hilliard equation , 2007 .
[138] E. Mello,et al. Numerical study of the Cahn–Hilliard equation in one, two and three dimensions , 2004, cond-mat/0410772.
[139] Rajat Mittal,et al. A sharp interface immersed boundary method for compressible viscous flows , 2007, J. Comput. Phys..
[140] Si-Young Choi,et al. Orientation-dependent arrangement of antisite defects in lithium iron(II) phosphate crystals. , 2009, Angewandte Chemie.
[141] Ian Turner,et al. On derivative estimation and the solution of least squares problems , 2008 .
[142] M. Doyle,et al. Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell , 1993 .
[143] D. J. Eyre. Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation , 1998 .
[144] Ian Turner,et al. A second order finite volume technique for simulating transport in anisotropic media , 2003 .
[145] Yadong Li,et al. Solvothermal synthesis of lithium iron phosphate nanoplates , 2011 .
[146] Robert L. Pego,et al. Front migration in the nonlinear Cahn-Hilliard equation , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[147] Robert Dominko,et al. Wired Porous Cathode Materials: A Novel Concept for Synthesis of LiFePO4 , 2007 .
[148] Yunxian Liu,et al. A class of stable spectral methods for the Cahn-Hilliard equation , 2009, J. Comput. Phys..
[149] Jan L. Allen,et al. Correction to Kinetic Study of the Electrochemical FePO4 to LiFePO4 Phase Transition , 2012 .
[150] Rahul Malik,et al. Kinetics of non-equilibrium lithium incorporation in LiFePO4. , 2011, Nature materials.
[151] C. Fisher,et al. Surface structures and crystal morphologies of LiFePO4: relevance to electrochemical behaviour , 2008 .
[152] Byoungwoo Kang,et al. Battery materials for ultrafast charging and discharging , 2009, Nature.
[153] Craig A. J. Fisher,et al. Lithium Battery Materials LiMPO4 (M = Mn, Fe, Co, and Ni): Insights into Defect Association, Transport Mechanisms, and Doping Behavior , 2008 .
[154] Chunsheng Wang,et al. Galvanostatic Intermittent Titration Technique for Phase-Transformation Electrodes , 2010 .
[155] Gianluca Iaccarino,et al. IMMERSED BOUNDARY METHODS , 2005 .
[156] Charles W. Monroe,et al. Direct in situ measurements of Li transport in Li-ion battery negative electrodes , 2009 .
[157] Prashant N. Kumta,et al. Surfactant based sol–gel approach to nanostructured LiFePO4 for high rate Li-ion batteries , 2007 .
[158] G. Seifert,et al. Atomistic investigation of Li+ diffusion pathways in the olivine LiFePO4 cathode material , 2011 .
[159] Venkat Srinivasan,et al. Design and Optimization of a Natural Graphite/Iron Phosphate Lithium-Ion Cell , 2004 .
[160] J-M Tarascon,et al. Key challenges in future Li-battery research , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[161] M. Gaberšček. Towards optimized preparation of cathode materials: How can modeling and concepts be used in practice , 2009 .
[162] Charles Delacourt,et al. Mathematical Modeling of Commercial LiFePO4 Electrodes Based on Variable Solid-State Diffusivity , 2011 .
[163] C. Delmas,et al. Lithium deintercalation in LiFePO4 nanoparticles via a domino-cascade model. , 2008, Nature materials.
[164] F. P. Bowden,et al. Chemical Thermodynamics , 1947, Nature.