By Horacio Sergio Wio
This ebook goals to supply a compact and unified creation to crucial facets within the physics of non-equilibrium structures. It first introduces stochastic approaches and a few glossy instruments and ideas that experience proved their usefulness to house non-equilibrium platforms from a merely probabilistic attitude. the purpose is to teach the real function performed through fluctuations in far-from-equilibrium events, the place noise can advertise order and association, switching between non-equilibrium states, and so forth. the second one half adopts a extra ancient point of view, retracing the 1st steps taken from the only thermodynamic in addition to from the kinetic issues of view to leave (albeit a little) from equilibrium. The 3rd half revisits the trail defined within the first one, yet now undertakes the mesoscopic description of prolonged platforms, the place new phenomena (patterns, long-range correlations, scaling faraway from equilibrium, etc.) are observed.
This booklet is a revised and prolonged model of an prior variation released in 1994. It contains subject matters of present study curiosity in far-from-equilibrium occasions like noise-induced phenomena and loose energy-like functionals, floor development and roughening, and so on. it may be used as a complicated textbook by means of graduate scholars in physics. It additionally covers themes 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 catch the curiosity of the reader and facilitate the trail to extra studying by means of exploring the fashionable study literature supplied. while, the publication can be entire adequate to be self-contained for these readers who simply desire an summary of the subject.
- 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 idea, Fluctuation–Dissipation Theorem
- The Mesoscopic method faraway from Equilibrium: Non-Extended Systems:
- Stability of Dissipative Dynamical Systems
- Noise-Induced Phenomena in Non-Extended Dynamical Systems
- The Mesoscopic procedure faraway from Equilibrium: prolonged Systems:
- Formation and Propagation of styles in Far-from-Equilibrium Systems
- Noise-Induced Phenomena in prolonged Systems
- Surface development and Kinetic Roughening
- Final Comments
Readership: Graduate scholars and researchers not just in statistical physics, yet engineering, biophysics and economics.
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Extra info for An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics: 19 (Series on Advances in Statistical Mechanics)
An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics: 19 (Series on Advances in Statistical Mechanics) by Horacio Sergio Wio