IV.9 Representation Theory by Ian Grojnowski, Fourier Analysis: Pages 425 – 426.

## IV.9 Representation Theory by Ian Grojnowski, Fourier Analysis: Pages 425 – 426.

February 27th, 2011## IV.9 Representation Theory by Ian Grojnowski, Why Vector Spaces?: Page 424 – 425.

February 25th, 2011Representation Theory by Ian Grojnowski.

Why Vector Spaces?

The number of partitions of n is about (1/4n√(3))e^{pÖ(2n/3)}.

## DNA aptamermicelle as an efficient detection/delivery vehicle toward cancer cells.

February 24th, 2011DNA aptamermicelle as an efficient detection/delivery vehicle toward cancer cells. 2010. Yanrong Wua, Kwame Sefaha, Haipeng Liua, Ruowen Wanga, and Weihong Tana. PNAS, January 5, 2010, Vol. 107, o. 1, 510.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 20th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.16 The Kramer theory of reaction rates.

3.17 Chemical kinematics.

3.18 Acid-base reactions as an example of chemical equilibrium.

3.19 The Michaelis-Menten relation and on-off rates in nano-bio reactions.

3.20 Rate equations in small systems.

3.21 Nanothermodynamics.

3.22 Modeling nanosystems explicitly:molecular dynamics.

3.23 Systems far from equilibrium: Jarzynski’s equality.

3.24 Fluctuations and quantum mechanics.

3.25 Bibliography.

3.26 Exercises.

References.

Appendix C: Schrödinger equation for the hydrogen atom.

Appendix G: The Gibbs distribution.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 18th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.13 Diffusion.

3.14 Einstein-Smoluchowski relation.

3.15 Fluctuations, chemical reactions, and the transition state.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 17th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.5 An example of the Boltzmann distribution: ions in a solution near an electrode.

3.6 The equilibrium theorem.

3.7 The partition function.

3.8 The partition function for an ideal gas.

3.9 Free energy, pressure, and entropy of an ideal gas from the partition function.

3.10 Quantum gasses.

3.11 Fluctuations.

3.12 Brownian motion.

Appendix E: Free energies and choice ensaemble.

Appendix F: Probabilities and the definition of entropy.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 16th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.4 Entropy and the Boltzmann distribution.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 15th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.2: How systems get from here to there: entropy and kinetics.

3.3: The classical probability distribution for noninteracting particles.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 14th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

Appendix D: The damped harmonic oscillator.

## Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

February 13th, 2011Introduction to Nanoscience by S. M. Lindsay ISBN: 9780199544219.

Chapter 3: Statistical mechanics and chemical kinetics.

3.1 Macroscopic description of systems of many particles.