Alberto Robledo Nieto
CONTENTS
INDEX
ARTICLES
PROJECTS
VIDEOS
ABOUT ALBERTO ROBLEDO
INDEX
I Stochastic Processes
Introduction
I.i Random walks and fluid correlations
I.ii Random walks and electronic band structures
I.iii First passage times for multiple walkers
I.iv Renormalization group and entropy for Weierstrass walks.
I.v Thermal-system statistical-mechanical analogy for renewal processes.
I.vi Phase transitions along time in correlated renewal processes.
II Density Functional Theory
Introduction
II.i Density functional theory and Widom’s particle insertion method
II.ii Liquid to solid transitions of hard-core model systems
II.iii Kinetics of phase change, nucleation, spinodal decomposition
II.iv Global wetting phase diagram for fluid interfaces
II.v Lattice models for micellar solutions, microemulsions, magnetic alloys, etc.
II.vi Anomalous micellar solubility loops
II.vii Complex fluids under confinement
II.viii Curved interfaces, bending rigidities, line tension, stress tensor and capillary waves
II.ix Curvature interfacial transitions
II.x Line tension & wetting
II.xi Analogy of density functional 1st & 2nd variations with classical and quantum mechanics
II.xii Phase behavior and pairing mechanism for two-dimensional superconductors
III Nonlinear Dynamics
Introduction
III.i Critical fluctuations and the intermittency route out of chaos
III.ii Glassy dynamics at the noise-perturbed onset of chaos
III.iii Localization transition as a tangent bifurcation
III.iv Generalization of the Pesin identity at the Feigenbaum attractor
III.v Renormalization group and central limit theorem for chaotic attractors
III.vi Self-organization along the period-doubling cascade
III.vii Chaos in discrete-time game theory
III.viii Complex network view of the routes to chaos
III.ix Universality classes of rank distributions revealed by nonlinear maps near tangency.
III.x Transition to chaos as critical point
III.xi Nonlinear dynamical view of Kleiber’s law
III.xii Bifurcation cascades within Windows
IV Generalized Statistical Mechanics
Introduction
IV.i A new statistical mechanics
IV.ii How, why and when is q-statistics pertinent
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