fields_lec8

# fields_lec8 - Key Concepts for this section 1 Lorentz force...

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1: Lorentz force law, Field, Maxwell’s equation 2 : Ion Transport, Nernst-Planck equation 3: (Quasi)electrostatics, potential function, 4: Laplace’s equation , Uniqueness 5 : Debye layer, electroneutrality Goals of Part II: (1) Understand when and why electromagnetic (E and B) interaction is relevant (or not relevant) in biological systems. (2) Be able to analyze quasistatic electric fields in 2D and 3D. Key Concepts for this section

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2 () ( ) (' ) e e EE Poisson s Equation εε ρ ε =−∇Φ ∇⋅ =∇⋅ − ∇Φ = ∇Φ=− rr 2 c c t ∇= 0 q = r qk T =− ∇ r 2 0 c (Fick’s second law) (steady-state diffusion) (Fourier’s law for heat conduction) (conservation law for heat) 2 0 T (steady heat flow) However, biomolecules in the system do not generate E-field, since they are shielded by counterions (electroneutrality)……. It all comes down to solving…. . 2 0( ' ) Laplace s Equation ∇Φ=
Φ 1 =0 Electrostatics Φ 2 =0 Φ 3 =0 Φ 4 =0 Φ 5 =0 Φ =? c 4 =0 Steady state diffusion c 3 =0 c 5 =0 c 1 =0 c 2 =0 c=0 2 0 c ∇= T 4 =0 Thermal conduction T 3 =0 T 5 =0 T 1 =0 T 2 =0 T=0 2 0 T

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## This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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fields_lec8 - Key Concepts for this section 1 Lorentz force...

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