
The Physics of Complex Systems
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Content
- Title Page
- Indice
- Preface
- Gruppo fotografico dei partecipanti al Corso
- Introduction to the Enrico Fermi Course on the Physics of Complex Systems
- Introduction
- Scaling and universality in physics
- The Ising model and its "variants
- Random site percolation on a lattice, and its variants
- The Laplace equation and its variants
- Other complex physical systems in which "order propagates
- Scale invariance in the biological and social sciences
- Outlook
- Granular matter
- Powders: examples and difficulties
- Statics: silos and heaps
- Janssen equilibrium in silos (fig. 1)
- Weight distribution below a heap
- Static: the effects of randomness
- Channels of force
- The carbon paper experiment
- A scalar model for local transmission
- Predictions in a mean field approximation
- Correlations
- Scalar vs. vector models
- Macroscopic elasticity of compressed powders
- Hertzian contacts
- Other models
- Rough grain surfaces and plastic deformations
- Mirage effects
- Surface flows
- Relevant variables
- Coupled equations
- Examples of steady flows
- Filling a silo
- An (idealized) rotating drum
- Transients
- Uphill waves
- Triangular profiles
- Onset of avalanches
- Spinodal growth "in situ
- Nucleation models
- Two types of dynamical scenarios
- Slowly rotating drums
- Another scenario
- Choosing the scenario
- Concluding remarks
- Patterns generation and competition in nonequilibrium optical media: a case study for complexity
- Introduction
- PART I. Complexity and model building
- Complexity vs. complex systems
- Complexity of symbolic sequences
- A dynamical approach to complexity
- An adaptive measurement procedure
- PART II. Pattern formation and competition in nonlinear optics
- Complexity and patterns
- A pedagogical approach to patterns
- Experimental results
- Optical crystals and quasi-crystals
- Competition and coexistence of optical patterns
- The theoretical model
- Summary and outlook
- Long-tailed distributions and non-Brownian transport in complex systems
- Introduction
- Fractal time
- Slow relaxations
- Fractal space processes
- Non-linear dynamics
- Brownian motion in confined media: spatial and hydrodynamic constraints
- Introduction
- Potential wells-spatial constraints
- Potential wells created by external fields
- Potential wells imposed by mechanical obstacle
- Hydrodynamic constraints near solid obstacles
- Brownian diffusion parallel to the walls
- Brownian diffusion perpendicular to the walls
- Modeling a Brownian walker with a space-dependent diffusion constant
- Dewetting
- General aims
- The air/solid interface
- The hydrodynamic model
- Coating processes
- Dewetting by dry patches
- Rubber/solid interfaces
- Aquaplaning of motor cars
- Offset 4-color printing [12]
- Thin films
- Future research
- DNA-based molecular computing
- Introduction
- DNA
- DNA implementation of the Hamiltonian path problem
- In-vitro evolution solves the problem of specific chemical binding
- What is a computer
- Recognition
- String matching
- DNA melting
- Kinetics of DNA hybridization
- Thermodynamics of molecular computation
- DNA replication
- Ligation
- Polymerase and error correction
- The polymerase chain reaction
- Hybridization errors in PCR
- Parallel overlap assembly
- Conclusion
- Scaling behavior in economics: empirical results and modeling of company growth
- Introduction
- Background
- Empirical results
- Size distribution of publicly-traded companies
- The distribution of annual growth rates
- Mean growth rate
- Standard deviation of the growth rate
- Other measures of size
- The T-year growth rates
- Discussion
- Stochastic modeling
- The exponential distribution of growth rates
- Time dependence of the growth-rate distribution
- The scaling exponent beta
- Combining the two models
- Conclusions
- Hydrophobic free energy eigenfunctions help define continuous wavelet transformations of amino acid sequences of protein families
- Introduction
- Hydrophobic free energy transformations of amino acid sequences
- Construction of hydrophobic free energy eigenfunctions
- Morlet wavelet transformation of protein hydrophobicity sequences and their leading eigenfunctions
- Wavelet analyses of amino acid sequences from four structural protein families
- Dynamics of fluctuating surfaces and interfaces
- Introduction
- Early stages of the growth: dynamic scaling of the size distribution
- Nucleation and growth of droplets
- Island distribution and morphology in epitaxial growth
- Long-time behavior
- Dynamic scaling of growing surfaces
- Examples of surface growth phenomena
- Surface tension dominated growth: models and experiments
- Models
- Two-fluid displacement in porous media
- Surface growth with quenched noise
- Surface diffusion dominated growth
- Surface evolution and morphology in epitaxial growth
- Conclusions
- Measurements of curvatures of the oil-water interface in isometric bicontinuous microemulsions by scattering experiments
- Introduction
- Experiments
- Scattering intensities from a bicontinuous microemulsion in bulk and film contrasts
- Data analysis
- Discussion and summary
- Appendix
- Effects of surface adhesion on the phase behavior of water-in-oil microemulsions and viscosity of co-polymer micelles
- PART I. Phase separation and percolation behavior of AOT/water/decane microemulsions
- Introduction
- Baxter's sticky sphere model and the associated phase diagram
- Analysis of SANS data below T_c
- Analysis of the phase diagram
- Summary
- PART II. Effects of surface adhesion on viscosity of co-polymer micellar solutions
- Introduction
- Microstructure of polymeric micelles
- Model for the inter-micellar structure factor
- Viscosity of suspension of hard spheres with an adhesive surface
- Viscosity of tri-block co-polymer micelles
- Summary
- Structure and dynamics of suspensions from first principles?
- Introduction
- Interacting electric double layers
- Brownian motion and multiple time-scale analysis
- Traditional description of Brownian motion
- Multiple time-scale analysis
- Forces on Brownian particles from first principles
- Multiple time-scale derivation of the Fokker-Planck equation
- Interacting Brownian particles
- Numerical evaluation of friction
- Perspectives
- Interacting Brownian particles: the dynamics of colloidal suspensions
- Introduction
- Structural properties of colloidal suspensions
- Typical systems
- Structural properties and scattering
- Determination of the pair distribution function
- Polydisperse systems and mixtures
- Dynamics of colloidal suspensions
- Time scales and transport equations
- Short-time dynamics
- Long-time dynamics
- Memory equations
- Mode-coupling approximation
- Conclusions
- Phase transitions in colloidal suspensions
- Introduction
- Interaction potentials in atomic and colloidal systems
- Phase diagrams
- Fluid-crystal phase transition for particles interacting through a repulsive potential
- Phase transitions for colloidal particles with polymer-induced depletion attractions
- Phase separation processes
- Nucleation and growth
- Nucleation
- Growth
- Spinodal decomposition
- Early stage
- Late stage
- Transient gelation
- Kinetics of spinodal decomposition in gels
- Introduction
- Background
- Theory of spinodal decomposition kinetics
- Experimental results
- Conclusion
- Vesicle phases from perfluorosurfactants with cosurfactants and their properties
- Introduction
- Results
- The system C8F17SO3H/N(C2H5)4OH/C7F15CH2OH
- The system C8F17CO2NH4/C8F17CO2H
- The systems C8F17SO3H and C8F17SO3N(C2H5)4 with C8F17CO2H
- The systems prepared from 200 mM C8F17SO3N(C2H5)4 with C3F7O[(CF3)CF2O]n CF(CF3)CO2H with n=0,1,2,3
- The system C8F17SO3N(C2N5)4/n-hexanol
- The system C8F17S03H/n-decanol
- Conclusions
- Scaling of interfacial tension and identity of bending moduli of microemulsions
- Introduction
- Microemulsion structure and interfacial curvature
- Interfacial film free energy
- Statistical-mechanical expressions for the amphiphilic film coefficients
- Scaling of the interfacial tension of microemulsions
- Arrested phase separation and microemulsion phase diagram
- Relaxation phenomena in disordered systems
- Introduction
- Time correlation function
- Applications to disordered systems
- Critical phenomena in supramolecular liquid mixtures
- Dielectric relaxation at percolation
- Glassy relaxation of density correlations in the mode-coupling theory
- Slow dynamics in water
- Conclusions
- Scaling properties of DNA sequences and heartbeat rate
- Long-range power law correlations
- DNA
- The "DNA walk
- Correlations and fluctuations
- Detrended fluctuation analysis (DFA)
- Systematic analysis of GenBank database
- Generalized Levy walk model
- Mosaic nature of DNA structure
- Detecting characteristic patch sizes
- Fractal analysis of interbeat intervals
- Scaling behavior of heartbeat intervals
- Physics investigation of financial markets
- Introduction
- Scaling and its breakdown in the Standard & Poor's 500 index
- The truncated Levy flight
- Failures of the description of some aspects of the S&P 500 dynamics in terms of the TLF model
- Analogies and differences with turbulence
- Discussion
- Frustration and connectivity in spin glasses, glasses and granular materials
- Introduction
- Clusters in the Ising model
- Clusters in the Ising spin glass model
- Bond frustrated percolation
- Frustration in glass-forming liquids
- Spin frustrated lattice gas
- Site frustrated percolation
- Hamiltonian formalism for FP
- Frustrated percolation and glass forming liquids
- Granular materials
- Slow dynamics of glassy systems
- Introduction
- The Random Energy Model
- The definition of the model
- Equilibrium properties of the model
- Properties of the low-temperature phase
- Dynamical properties of the model
- Models with partially correlated energy
- The definition of the models
- Equilibrium properties of the models
- The free-energy landscape
- Mode coupling theory at short times
- Dynamical properties of the models from a landscape analysis
- More realistic models
- General consideration on long-range Hamiltonians with and without quenched disorder
- Short-range models
- Pressure-driven elastic instabilities and solid-state amorphization
- Introduction
- Generalized stability criteria
- Simulation of solid-state amorphization
- Role of atomic size effects in chemical ordering
- Implications and perspective
- Modelling ionic transport in complex systems
- Introduction
- Dispersed ionic conductors
- Glassy ionic conductors: experimental situation
- Coulomb-lattice gas in a disordered potential
- The dynamic structure model (DSM)
- Thermodynamics and dynamics of supercooled water
- Introduction
- Thermodynamics of supercooled water
- Mode coupling theory
- Dynamics in supercooled water
- The glassy state problem: failure to crystallize, and vitrification
- Introduction: questions, concepts, and terminology
- What is a glass?
- Ergodicity breaking and the glass transition
- Origin of glass-forming ability
- The Kauzmann paradox and the potential energy hypersurface
- Relaxation and entropy
- Relaxation in the non-ergodic state
- Relaxation in the ergodic domain
- Relaxation in the non-ergodic state near T_g
- Entropy at the glass transition and the validity of Ehrenfest-like thermodynamic relaxations
- Kinetic aspects of vitrification: strong and fragile liquids
- The glass transition in covalent systems
- View from the solid
- POSTERS
- The renewal of the epidermis: a topological mechanism
- Introduction
- Topological representation of biological tissues
- Information available
- Structural signature of disorder: Lewis' law and Aboav's law
- Coupled rate equations. The human epidermis
- Coupled rate equations for mitosis
- Rate equations of the skin
- Solutions for a flat tissue
- Consequences
- Conclusions
- Scaling laws of dielectric testing particles subject to randomly distributed vortices in electro-convective turbulence
- Description
- Geometry of dynamics and phase transitions
- Introduction
- Instability of the dynamics and phase transitions
- Geometric properties
- Random cellular systems as dynamical maps: disorder, curvature and diffusion
- Topology characterization
- Applications
- Space curvature and froth structure
- Freedom and constraint in the construction of a disordered structure
- Diffusion in disordered media
- Algebraic methods for many-body systems
- Introduction
- The U(2) model for the anharmonic oscillator
- The U(4) vibron model in molecular physics
- The U(6) interacting boson model for nuclei
- The U(N)xU(3) dipolar model for collective resonances
- Conclusions
- Intermittency and turbulence in magnetospheric dynamics
- Quantitative characterization of liquid to solid phase transition in a DPPC monolayer
- Introduction
- Experimental setup
- Results and discussion
- Glassy dielectric relaxation of protons in hydrated protein powders
- Universality of subleading exponents induced by one-dimensional defects: the case of self-avoiding walks
- Introduction
- Dimensionality of defects and correction to scaling
- Models, Monte Carlo simulations and results
- Approximation theories on delayed stochastic systems
- Clumping of base pairs in DNA
- Introduction
- Ratio analysis
- Method
- Clumping in primate DNA
- Clumping in different sources
- Clumping of amino acids
- Clumping measure analysis
- Method
- Clumping measures for trinucleotides
- Clumping measures for dinucleotides
- Clumping measures for amino acids
- Discussion
- Light scattering and UV-visible absorption studies of DLA aggregation kinetics in biological systems
- Water-protein interface characterization by means of molecular dynamics simulations
- Introduction
- Computational methods
- Results and discussion
- Conclusions
- Rayleigh wing spectroscopy to study confined dynamics in H-bonded systems
- Introduction
- Experimental procedure
- Results and discussion
- A thermodynamic description of the role of chain folding in the melt crystallization kinetics of nucleated polypropylene
- Rheology of magnetic silica dispersions
- Introduction
- Synthesis
- Rheology
- Conclusions
- Strong critical enhancement of the viscosity of a colloid polymer mixture
- Weight space structure of the parity machine with binary weights: analytical and numerical results
- Further numerical evidence for super-roughening in crystalline surfaces with disordered substrate
- Power law distribution of dimeric tandem repeats in DNA sequences
- Adsorption of a new type of triblock copolymer (PEO-PTHF-PEO) at non-polar surfaces
- Spherical model on graphs
- SOC dynamics for fully frustrated spin systems
- Theory of extremal dynamics with quenched disorder: self-organization, avalanches dynamics and critical exponents
- Hydrodlynamic interactions of particles trapped between two walls: theory and experimental studies
- A model for the compaction of granular media
- Identification of an intermediate-segregation regime in a symmetric diblock copolymer system
- High-precision critical behaviour from cluster variation method
- Monte Carlo fixed scale transformation for non-local fractal growth models
- A blocking technique for emulating large polyelectrolytes
- Interference of light after a random walk
- Elenco dei partecipanti
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