Tensors for Physics

412 Appendix: Exercises... Assume that the relevant internal energy is equal to Ua=−N 1 2 εaμνaμν, whereε> 0 is a characteris ...

Appendix: Exercises... 413 15.2 Compute the Cubic Order Parameter〈H 4 〉for Systems with Simple Cubic, bcc and fcc Symmetry(p.294 ...

414 Appendix: Exercises... SinceΦμνa =Aaaμν− √ 6 Baaμλaλν+Caaμνaλκaλκ, ∂Φ ∂aμν =Aaμν− √ 6 Baμλaλν +Caμνaλκaλκ is obtained, where ...

Appendix: Exercises... 415 e 1 =Pref ( 1 + √ 2 3 c 2 aeq )− 1 √ 3 2 c 1 aeq, e 3 =Pref ( 1 − √ 1 6 c 2 aeq )− 1 √ 3 2 c 1 aeq. F ...

416 Appendix: Exercises... dμdνdλEνEλ=dμ(d·E)^2 − 1 5 [ dμE^2 + 2 Eμ(d·E) ] was used, cf. (9.5). 16.2 Acoustic Birefringence(p.3 ...

Appendix: Exercises... 417 Furthermore, determine the anisotropy ratio R=(D‖−D⊥)/(D‖+ 2 D⊥), the average diffusion coefficientD ...

418 Appendix: Exercises... Exercises Chapter 17 17.1 Components of a Uniaxial Alignment(p.359) Consider a uniaxial alignment giv ...

Appendix: Exercises... 419 Separation of variables yieldsa 3 −^2 (t)−a− 32 (t 0 )= 4 (t−t 0 )and, witht 0 =0, a 3 (t)= a 3 ( 0 ) ...

420 Appendix: Exercises... 18.2 Derivation of the Inhomogeneous Maxwell Equations from the Lagrange Density(p.386) Point of depa ...

Appendix: Exercises... 421 The second term is related to the derivative of the energy densityu. This is seen as follows. Renamin ...

422 Appendix: Exercises... which are equivalent to the homogeneous Maxwell equations, cast into the pertaining three-dimensional ...

References W. Voigt, Elemente der Krystallphysik. Die fundamentalen Eigenschaften der Krystalle in elementarer Darstellung (Lei ...

424 References S. Hess, L. Waldmann, Kinetic theory for a dilute gas of particles with spin. Z. Naturforsch. 21a, 1529–1546 (19 ...

References 425 H. Grad, inPrinciples of the Kinetic Theory of Gases, vol. XII, ed. by S. Flügge. Handbuch der Physik (Springer, ...

426 References A.R. Edmonds, Angular momentum in Quantum Mechanics (Princeton University Press); Drehimpulse in der Quantenmech ...

References 427 S. Hess, Dynamic Ginzburg-Landau theory for the liquid-solid phase transition. Z. Natur- forsch.35a, 69–74 (1980 ...

428 References P. Ilg, M. Kröger, S. Hess, A.Y. Zubarev, Dynamics of colloidal suspensions of ferromagnetic particles in plane ...

References 429 S. Hess, Viscoelasticity associated with molecular alignment. Z. Naturforsch.35a, 915–919 (1980) H. Thurn, M. Lö ...

430 References M. Doi, Rheological properties of rodlike polymers in isotropic and liquid crystalline phases. Ferroelectrics 30 ...

References 431 S. Hess, A. Mörtel, Doppler broadened spectral functions and the pertaining time correlation functions for a gas ...