Dynamics

An Introduction to Stochastic Processes and Nonequilibrium by Horacio Sergio Wio

By Horacio Sergio Wio

This ebook goals to supply a compact and unified advent to crucial elements within the physics of non-equilibrium structures. It first introduces stochastic procedures and a few glossy instruments and ideas that experience proved their usefulness to house non-equilibrium platforms from a in basic terms probabilistic perspective. the purpose is to teach the $64000 position performed by way of fluctuations in far-from-equilibrium events, the place noise can advertise order and association, switching between non-equilibrium states, and so on. the second one half adopts a extra historic viewpoint, retracing the 1st steps taken from the only thermodynamic in addition to from the kinetic issues of view to go away (albeit somewhat) from equilibrium. The 3rd half revisits the trail defined within the first one, yet now undertakes the mesoscopic description of prolonged structures, the place new phenomena (patterns, long-range correlations, scaling faraway from equilibrium, etc.) are observed.

This ebook is a revised and prolonged model of an past variation released in 1994. It comprises themes of present examine curiosity in far-from-equilibrium occasions like noise-induced phenomena and unfastened energy-like functionals, floor progress and roughening, and so forth. it may be used as a sophisticated textbook by means of graduate scholars in physics. It additionally covers subject matters of present curiosity in different disciplines and interdisciplinary techniques in engineering, biophysics, and economics, between others.

The point of element within the ebook is sufficient to seize the curiosity of the reader and facilitate the trail to extra studying through exploring the trendy learn literature supplied. even as, the booklet can also be whole adequate to be self-contained for these readers who simply want an summary of the subject.

Contents:

  • The Stochastic Approach:
    • Stochastic methods and the grasp Equation
    • The Fokker–Planck Equation
    • The Ω–Expansion
  • Thermodynamics and Kinetics close to Equilibrium:
    • Distributions, BBGKY–Hierarchy, stability Equations, and the Density Operator
    • Linear Nonequilibrium Thermodynamics and Onsager Relations
    • Linear reaction conception, Fluctuation–Dissipation Theorem
  • The Mesoscopic procedure faraway from Equilibrium: Non-Extended Systems:
    • Stability of Dissipative Dynamical Systems
    • Noise-Induced Phenomena in Non-Extended Dynamical Systems
  • The Mesoscopic method faraway from Equilibrium: prolonged Systems:
    • Formation and Propagation of styles in Far-from-Equilibrium Systems
    • Noise-Induced Phenomena in prolonged Systems
    • Surface progress and Kinetic Roughening
    • Final Comments

Readership: Graduate scholars and researchers not just in statistical physics, yet engineering, biophysics and economics.

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