Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics


Book Description

This thesis describes a method to control rare events in non-equilibrium systems by applying physical forces to those systems but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring to this specific structure as the “phenomenological structure for the large deviation principle”, the author subsequently extends it to time-series statistics that can be used to describe non-equilibrium physics. The book features pedagogical explanations and also shows many open problems to which the proposed method can be applied only to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics.




Differential Equations


Book Description

Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.













Scientific and Technical Aerospace Reports


Book Description

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.




Coherent Flow Structures in Open Channels


Book Description

Coherent Flow Structures in Open Channels presents the first integrated treatment, across a wide range of spatial and temporal scales, of the origins and characteristics of coherent fluid motions and their influence on sediment transport and bed morphology. This book contains contributions from an international and interdisciplinary authorship who are responsible for many of the recent advances in geophysical boundary layer research. Coherent flow structures are examined systematically across a range of scales from flat-bed boundary layers, grain and bedform roughness generated structures through to the largest scales, where structures may be associated with bars, meander bends and channel confluences. The book is broadly organized according to the spatial scales of coherent flow structures and presents a treatise on the study of these motions from theoretical, experimental and field-based approaches. These papers describe the origins, evolution and characteristics of coherent flow structures and the control which they may impart on sediment transport, both as a bed and suspended load, and ultimately on channel morphology. The book also highlights future research themes required to advance the interdisciplinary understanding of these complex, yet ubiquitous, natural flows. The research presented here will find applications within many fields, including geomorphology, sedimentology, the physical and numerical modelling of two-phase flows, environmental fluid and sediment dynamics and river engineering.