Polymers in Confined Geometry.pdf

More documents

Recommendations

Info

90 BIBLIOGRAPHY [14] E. Frey. Physics in cell biology: On the physics of biopolymers and molecular motors. ChemPhysChem, 3:270–275, 2002. [15] E. Frey and T. Franosch. Statistische Physik — Biologische Physik und Soft Matter. Lecture notes (Freie Universität Berlin), WS 2002/03. [16] E. Frey and K. Kroy. Brownian motion: paradigm of soft matter & biological physics. Review submitted to Annalen der Physik, 2004. [17] E. Frey, K. Kroy, and J. Wilhelm. Viscoelasticity of biopolymer networks and statistical mechanics of semiflexible polymers. In S. Malhotra and J. Tuszynski, editors, Advances in Structural Biology, volume 5, pages 135–168. Jai Press, 1998. [18] R. Granek. From semi-flexible polymers to membranes: Anomalous diffusion and reptation. Journal de Physique II, 7:1761–1788, 1997. [19] H. Kleinert. Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets. World Scientific, third edition, 2004. [20] O. Kratky and G. Porod. Röntgenuntersuchung gelöster Fadenmoleküle. Recueil Travaux Chimiques (Pays Bas), 68:1106–1122, 1949. [21] K.-D. R. Kroy. Viskoelastizität von Lösungen halbsteifer Polymere. PhD thesis, Technische Universität München, 1998. [22] D. P. Landau and K. Binder. A Guide to Monte Carlo Simulations in Statistical Physics. Cambridge University Press, 2000. [23] L. D. Landau and E. M. Lifschitz. Lehrbuch der theoretischen Physik, Band VII, Elastizitätstheorie. Akademie Verlag Berlin, 1965. [24] L. D. Landau and E. M. Lifschitz. Lehrbuch der theoretischen Physik, Band V, Statistische Physik Teil 1. Akademie Verlag Berlin, 1979. [25] G. Lattanzi, T. Munk, and E. Frey. Transverse fluctuations of grafted polymers. Physical Review E, 69:021801, 2004. [26] M. le Bellac. Quantum and Statistical Field Theory. Oxford University Press, 1991. [27] P. L’Ecuyer. Maximally equidistributed combined Tausworthe generators. Mathematics of Computation, 65:203–213, 1996. [28] P. L’Ecuyer. Random Number Generation, chapter 4 of the Handbook on Simulation, Jerry Banks Ed., pages 93–137. Wiley, 1998.
BIBLIOGRAPHY 91 [29] P. L’Ecuyer. Tables of maximally-equidistributed combined LSFR generators. Mathematics of Computation, 68:261–269, 1999. [30] M. Lüscher. A portable high-quality random number generator for lattice field theory simulations. Computer Physics Communications, 79:100–110, 1994. [31] F. C. MacKintosh and C. F. Schmidt. Microrheology. Current Opinions in Colloid & Interface Science, 4:300–307, 1999. [32] B. Maier and J. O. Rädler. Conformation and self-diffusion of single DNA molecules confined to two dimensions. Physical Review Letters, 82:1911– 1914, 1999. [33] J. F. Marko and E. D. Siggia. Stretching DNA. Macromolecules, 28:8759– 8770, 1995. [34] N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller. Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21:1087–1092, 1953. [35] K. P. N. Murthy. Monte Carlo Methods in Statistical Physics. Universities Press (India) Private Ltd, 2004. [36] P. Nelson. Biological Physics: Energy, Information, Life. W. H. Freeman & Co, 2003. [37] T. Odijk. On the statistics and dynamics of confined or entangled stiff polymers. Macromolecules, 16:1340–1344, 1983. [38] W. Reisner et al. Statics and dynamics of single DNA molecules confined in nanochannels. Unpublished. [39] M. Rubinstein and R. H. Colby. Polymer Physics. Oxford University Press, 2003. [40] N. Saitô, K. Takahashi, and Y. Yunoki. The statistical mechanical theory of stiff chains. Journal of the Physical Society of Japan, 22:219–226, 1967. [41] D. W. Schaefer, J. F. Joanny, and P. Pincus. Dynamics of semiflexible polymers in solution. Macromolecules, 13:1280–1289, 1980. [42] P. J. Schneider and D. H. Eberly. Geometric Tools for Computer Graphics. Morgan Kaufmann Publishers, 2002. [43] C.-Y. Shew. Conformational behavior of a single polymer chain confined by a two-dimensional harmonic potential in good solvents. The Journal of Chemical Physics, 119:10428–10437, 2003.
Page 1 and 2:
Diploma Thesis Polymers in Confined
Page 3:
TMTOWTDI—There’s More Than One
Page 7 and 8:
Contents 1 Introduction 1 2 Polymer
Page 9 and 10:
Chapter 1 Introduction Polymers are
Page 11 and 12:
(a) λ-DNA (b) T2-DNA Figure 1.2: A
Page 13 and 14:
Chapter 2 Polymer models This chapt
Page 15 and 16:
2.2. IDEAL PHANTOM CHAIN 7 configur
Page 17 and 18:
2.3. SEMI-FLEXIBLE POLYMERS 9 In th
Page 19 and 20:
2.3. SEMI-FLEXIBLE POLYMERS 11 to i
Page 21 and 22:
2.3. SEMI-FLEXIBLE POLYMERS 13 for
Page 23 and 24:
2.5. REAL CHAINS 15 no overhangs al
Page 25 and 26:
2.5. REAL CHAINS 17 Figure 2.5: Sna
Page 27 and 28:
2.5. REAL CHAINS 19 ln R cases intr
Page 29 and 30:
Chapter 3 Polymers in confined geom
Page 31 and 32:
3.2. SCALING RELATIONS 23 using eq.
Page 33 and 34:
3.2. SCALING RELATIONS 25 b a d R |
Page 35 and 36:
3.3. ANALYTICAL RESULTS 27 The mean
Page 37 and 38:
3.3. ANALYTICAL RESULTS 29 From thi
Page 39 and 40:
3.3. ANALYTICAL RESULTS 31 a consta
Page 41 and 42:
3.3. ANALYTICAL RESULTS 33 the proj
Page 43 and 44:
3.3. ANALYTICAL RESULTS 35 x 2 (s/
Page 45 and 46:
Chapter 4 Simulation methods This c
Page 47 and 48: 4.3. SAMPLING THE CANONICAL ENSEMBL
Page 55 and 56: 4.4. SIMULATION OF UNCONFINED WORM-
Page 57 and 58: 4.4. SIMULATION OF UNCONFINED WORM-
Page 59 and 60: 4.5. SIMULATION OF CONFINED WORM-LI
Page 61 and 62: 4.6. SAMPLED QUANTITIES AND THEIR R
Page 63 and 64: 4.6. SAMPLED QUANTITIES AND THEIR R
Page 65 and 66: Chapter 5 Simulation results In thi
Page 67 and 68: 5.2. THE HARMONIC POTENTIAL 59 ˆt
Page 69 and 70: 5.2. THE HARMONIC POTENTIAL 61 5.2.
Page 71 and 72: 5.2. THE HARMONIC POTENTIAL 63 beha
Page 73 and 74: 5.2. THE HARMONIC POTENTIAL 65 R 2
Page 75 and 76: 5.2. THE HARMONIC POTENTIAL 67 R 2
Page 77 and 78: 5.2. THE HARMONIC POTENTIAL 69 R
Page 79 and 80: 5.2. THE HARMONIC POTENTIAL 71 p(R)
Page 81 and 82: 5.3. THE HARD WALLS 73 〈Ra〉 1 0
Page 83 and 84: Chapter 6 Conclusion Emerging from
Page 85 and 86: Appendix A Discrete worm-like chain
Page 87 and 88: which, after taking all the derivat
Page 89 and 90: Appendix B Calculation for the conf
Page 91 and 92: B.2. END-TO-END DISTANCE CORRELATIO
Page 93 and 94: B.3. PARALLEL END-TO-END DISTANCE C
Page 95 and 96: Glossary L filament length lp persi
Page 97: Bibliography [1] M. Abramowitz and
Page 101: :wq
show all

Polymers in Confined Geometry.pdf

Create successful ePaper yourself

Delete template?

Save as template?