Applications to Materials Science, Chemistry, and Biology /
by Jean-Noël Chazalviel.
Boston, MA :
Imprint: Birkhäuser,
1999.
I-1 What Is Screening? -- I-2 The Fundamental Problem of Screening: Small Fixed Point Charges in a Boltzmann Gas of Free Charged Particles -- I-3 References -- I: Distributions of Charges at Equilibrium or Near Equilibrium -- I: Screening of a Weak Static Charge Distribution -- II: Screening of a Static Charge Distribution Beyond the Linear Regime -- III: Time-Dependent Charge Distributions: The Generalized Dielectric Function % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacqaH1oqzdaqadaWdaeaapeGabmyCayaalaGaaiilaiabeM8a3bGa % ayjkaiaawMcaaaaa!3CE8!$ $\varepsilon \left( {\vec{q},\omega } \right)$ $ -- IV: Applications of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacqaH1oqzdaqadaWdaeaapeGabmyCayaalaGaaiilaiabeM8a3bGa % ayjkaiaawMcaaaaa!3CE8!$ $\varepsilon \left( {\vec{q},\omega } \right)$ $ to Practical Problems -- II: Distributions of Charges Far from Equilibrium -- V: Screening Survival: The Quasi-Neutrality Approximation -- VI: Screening Breakdown: Space-Charge-Limited Currents -- Conclusion -- Answers and Solutions to Selected Problems -- Index of Symbols.
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The idea of writing this book orIgmates from a suggestion of Bernard Sapoval: "Why don't you write it?" he asked. "Coulomb screening is a problem that everybody encounters in many different contexts, and there is no textbook that gathers the various aspects ofthe subject. " The content ofthe book, in a shorter form, was first taught for four years as a course in Dipl6me d'Etudes Approfondies Sciences des Materiaux, headed by Prof. J. -F. Petroff, at Paris VI University. The present extended version was written after discussions with Alia Margolina-Litvin. An essential feature of screening is its role in many different scientific areas. For that reason, the book is intended for use by a multidisciplinary readership. Reading it requires only a basic knowledge ofelectromagnetism, elementary quantum mechanics, and thermal physics. The spirit of the pre sentation is "simplicity first": new concepts (e. g. , dielectric function) are first introduced in their most elementary form and are progressively extended to more generality. The book stays at a basic level, and additional abstract developments that might have been included have been either omitted, rele gated to an appendix, or summarized in a qualitative manner. Apart from these restrictions, care has been taken to keep the presentation as rigorous as possible: the topics addressed are dealt with quantitatively, the results are given in mathematical form, and the interested reader should be able to fol low the algebra all the way through.