Contents -- Preface -- Statistical Physics and Related Subjects -- 1. Canonical and Grand-Canonical Ensembles for Trapped Bose Gases A. Camacho, A. Macas and A. Camacho-Galvan -- Contents -- 1.1. Introduction -- 1.2. Ensemble for a Bose Gas Trapped by a Harmonic Oscillator Potential -- 1.3. Volume and Pressure for a Bose Gas Trapped by a Harmonic Oscillator Potential -- 1.4. Fluctuation in the Number of Particles -- 1.5. Conclusions -- Acknowledgments -- References -- 2. Shockwaves and Local Hydrodynamics -- Failure of the Navier-Stokes Equations Wm.G. Hoover and C.G. Hoover -- Contents -- 2.1. Introduction -- 2.2. The Microscopic Model System and a Continuum Analog -- 2.3. Averaged Results from Molecular Dynamics -- 2.4. Conclusion: Failure of Navier-Stokes Equations -- 2.5. Prospects -- References -- 3. Nonequilibrium Stationary Solutions of Thermostated Boltzmann Equation in a Field F. Bonetto and J.L. Lebowitz -- Contents -- 3.1. Introduction -- 3.2. Properties of Eq. (3.4) in Arbitrary Dimension -- 3.3. The Boltzmann Equation in One Dimension -- 3.4. Small Field Limit -- 3.5. The General Case for Small E -- 3.6. Concluding Remarks -- Acknowledgments -- References -- 4. Propagation of Light in Complex Fluids: Embedded Solitons in Liquid Crystals R.F. Rodriguez and J. Fujioka -- Contents -- 4.1. Introduction -- 4.2. Multiple-Scale Analysis -- 4.3. Embedded Solitons -- 4.4. The Family of cmKdV Embedded Solitons -- 4.5. Variational Analysis -- 4.6. Conclusions -- Acknowledgements -- References -- 5. Hall Fluctuation Relations for a Charged Brownian Particle J.I. Jimenez-Aquino, R.M. Velasco and F.J. Uribe -- Contents -- 5.1. Introduction -- 5.2. The Langevin and Fokker-Planck-Kramers Equations -- 5.3. Con guration-Space Fluctuation Relations -- 5.4. Velocity Space Fluctuation Relations -- 5.5. Concluding Remarks -- Acknowledgments -- References.

6. Thermodynamic Properties and Model for Vapor-Liquid Azeotropic Binary Mixtures S.M.T. de la Selva, P. Lonngi and E. Pina -- Contents -- 6.1. Introduction -- 6.2. Additional Properties of the Azeotrope -- 6.3. A Model for the Azeotropic Binary Mixture -- 6.4. Particular Examples -- References -- 7. Entropy Generation in Oscillatory Flow between Parallel Plates M. Lopez de Haro, F. Vazquez, M.A. Olivares-Robles and S. Cuevas -- Contents -- 7.1. Introduction -- 7.2. Hydrodynamic Equations -- 7.3. Entropy Production -- 7.4. Concluding Remarks -- Acknowledgments -- References -- 8. Wien's Law with Zero-Point Energy Implies Planck's Law Unequivocally A. Valdes, L. de la Pena and A.M. Cetto -- Contents -- 8.1. Introduction -- 8.2. Role of the Energy Variance in Determining the Statistical Properties of the System -- 8.3. Planck's Law Follows Necessarily -- 8.4. Wien's Law and the Variance of the Energy -- 8.4.1. First derivation -- 8.4.2. Second derivation -- 8.5. Concluding Remarks -- Acknowledgments -- References -- 9. A Functional Study for Newton's Endoreversible Engines J.L. del Rio-Correa -- Contents -- 9.1. Introduction -- 9.2. Sahin's Procedure for Newton's Endoreversible Engines -- 9.3. Functional Relations for Newton's Endoreversible Engines -- 9.4. On the Analytical Behavior of the Power Output Function -- 9.5. The Analytical Behavior of the Dimensionless Ecological Function -- 9.6. A Unified Procedure to Analyze the Newton's Endoreversible Engine -- 9.7. Results and Conclusions -- Acknowledgments -- References -- Statistical Physics and Biological Physics -- 10. Diffusion between Two Chambers Connected by a Conical Capillary I. Pineda, M.V. Vazquez and L. Dagdug -- Contents -- 10.1. Introduction -- 10.2. The Diffusion of Particles between Two Chambers Connected by a Capillary Tube is Well Described by Propagator Functions.

10.3. Calculation of the Relaxation Functions Involves Fluxes of Particles Escaping from the Capillary -- 10.4. The Fluxes from the Capillary are Obtained Solving the Fick-Jacobs Equation in the Capillary -- 10.5. Computational Monte Carlo Simulations Validate Assumptions Made in our Model -- 10.6. Conclusions -- Acknowledgments -- References -- 11. Non-Equilibrium Thermodynamics of Transcriptional Bursts E. Hernandez-Lemus -- Contents -- 11.1. Introduction -- 11.2. A Two-State Model for Hybridization Thermodynamics -- 11.3. Irreversible Thermodynamics of Transcriptional Regulation -- 11.3.1. Extended irreversible thermodynamics -- 11.3.2. Maxwell-like relations -- 11.4. Gene Regulation -- 11.4.1. Gene-switching model -- 11.4.2. Thermodynamic differences between transcription factors (TF) and target genes (TG) -- Acknowledgments -- References -- 12. Applications of -Peptides in Chemistry, Biology, and Medicine Y. Bandala and E. Juaristi -- Contents -- 12.1. Introduction -- 12.2. Synthesis of -Amino Acids and -Peptides -- 12.3. Chemical and Biological Properties of -Peptides -- 12.3.1. Conformational behavior of -peptides -- 12.4. Biological Applications of -Peptides -- 12.5. Conclusions and Outlook -- Acknowledgments -- Glossary -- References -- 13. Laser-Induced Fluorescence in Mononuclear Cells: Direct Estimate of the NADH Bound/Free Ratio A. Silva-Perez, J. R. Godinez-Fernandez, M. Fernandez-Guasti, E. Haro-Poniatowski, C. Campos-Muniz and L. Llorente -- Contents -- 13.1. Introduction -- 13.2. Materials and Methods -- 13.2.1. Materials -- 13.2.2. Sample preparation -- 13.2.3. Laser sources -- 13.2.4. Optical detection -- 13.2.5. Signal processing -- 13.2.6. Curve-fitting -- 13.3. Results and Discussion -- 13.3.1. Calibration experiments -- 13.3.2. Cell excitation with di erent laser sources -- 13.3.3. NADH uorescence in PBS solution.

13.3.4. NADH uorescence in cells -- 13.4. Discarded Fluorophores -- 13.4.1. NADH as the dominant uorophore -- 13.4.2. Cell uorescence deconvolution -- Acknowledgments -- A.1. Abbreviation -- References -- Statistical Physics and Solid State Physics -- 14. Superconductivity in Graphene and Nanotubes S. Fujita and S. Godoy -- Contents -- 14.1. Introduction -- 14.2. Graphene -- 14.3. Single Wall Nanotube -- 14.4. Multiwalled Nanotube -- 14.5. Summary and Discussion -- Acknowledgments -- References -- 15. Electron Correlations in Strongly Interacting Systems J.J. Quinn and G.E. Simion -- Contents -- 15.1. Introduction -- 15.2. Quantum Hall Systems -- 15.3. Haldane's Spherical Geometry and Hierarchy -- 15.4. Chern-Simons Gauge Field and Jain's Composite Fermion Picture -- 15.5. Beyond Mean Field: Two Energy Scales -- 15.6. The Composite Fermion Hierarchy -- 15.7. Residual Interactions -- 15.8. Validity of the CF Hierarchy Picture -- 15.9. Spin Polarized Quasiparticles in a Partially Filled Composite Fermion Shell -- 15.9.1. Heuristic picture -- 15.9.2. Numerical studies of spin polarized QP states -- 15.10. Summary and Conclusions -- Abbreviations -- References -- 16. Kinetic and Calorimetric Behavior of Polymers in the Glass Transition Region A. Andraca, P. Goldstein and L.F. del Castillo -- Contents -- 16.1. Introduction -- 16.2. Summary of Previous Results -- 16.3. The Specific Heat. The Athas Database -- 16.4. The Logarithmic Shift Factor -- 16.5. Discussion -- References -- Statistical Physics, Cosmology and Relativity -- 17. On the Fokker-Planck Equation for the Relativistic Lorentz Gas G. Chacon-Acosta, L. Dagdug and H.A. Morales-Tecotl -- Contents -- 17.1. Introduction -- 17.2. Relativistic Boltzmann Equation -- 17.3. Relativistic Brownian Motion as an Approximation to the Relativistic Boltzmann Equation.

17.4. Fokker-Planck Equation for the Relativistic Lorentz Gas -- 17.5. Discussion -- Acknowledgments -- Appendix -- References -- 18. An Antecedence Principle Analysis of the Linearized Relativistic Navier-Stokes Equations A. Sandoval-Villalbazo and A.L. Garcia-Perciante -- Contents -- 18.1. Introduction -- 18.2. Transport Equations for the Relativistic Simple Fluid -- 18.3. Linearized Relativistic Hydrodynamics -- 18.4. Final Remarks -- References -- 19. Complete Classification of Geodesic Motion in Fast Kerr and Kerr-(anti-)de Sitter Space-Times E. Hackmann, C. Lammerzahl and A. Macias -- Contents -- 19.1. Introduction and Motivation -- 19.2. Kerr-(anti-)de Sitter Space-Time -- 19.3. The Geodesic Equation -- 19.4. Timelike Orbits in Fast Kerr-(anti-)de Sitter Space-Times -- 19.4.1. Types of latitudinal motion -- 19.4.2. Types of radial motion -- 19.5. Summary -- Acknowledgments -- References -- 20. A Shortcut to the Derivation of 2+1 Cyclic Symmetric Stationary Solutions A.A. Garcia -- Contents -- 20.1. Introduction -- 20.2. Cyclic Symmetric Stationary Solutions in Canonical Coordinates -- 20.3. BTZ Solution in Canonical R and Polar p-Coordinates -- 20.4. BTZ Solution Counterpart in Canonical R and Polar p-Coordinates -- 20.5. Stationary Anti-de Sitter Solution with H(r) = J l=2 -- Coussaert-Henneaux and Cosmological Metrics -- 20.6. Quasilocal Mass, Energy and Angular Momentum -- 20.7. Mass, Energy and Momentum of the BTZ Solution -- 20.8. Mass, Energy and Momentum of the BTZ Solution Counterpart -- 20.9. Concluding Remarks -- Acknowledgments -- A.1. Static AdS Black Hole in Canonical Coordinates -- A.2. Static AdS Solution Counterpart in Canonical Coordinates -- References -- 21. Averaging and Back-Reaction in Spherically Symmetric Dust Models R.A. Sussman -- Contents -- 21.1. Introduction -- 21.2. LTB Dust Models in the "Fluid Flow" Description.

21.3. Proper Volume Average: Buchert's Formalism.