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Mathematics Subject Classification. 35Q84, 80A22, 74N30. 2010 Physics and Astronomy Classification Scheme. 05.10.Gg, 05.70.Fh, 05.70.Ce, 82.47.Aa
In the framework of non-equilibrium thermodynamics we derive a new model for porous electrodes. The model is applied to LiFePO 4 (LFP) electrodes consisting of many LFP particles of nanometer size. The phase transition from a lithium-poor to a lithium-rich phase within LFP electrodes is controlled by surface fluctuations leading to a system of stochastic differential equations. The model is capable to derive an explicit relation between battery voltage and current that is controlled byfatcat:trcwonqahzh4lp65etk3bcvzsa