Title of dissertation: THERMODYNAMICS, REVERSIBILTY AND JAYNES’ APPROACH TO STATISTICAL MECHANICS Daniel N. Parker, Doctor of Philosophy, 2006 Dissertation directed by: Professor Jeffrey Bub Department of Philosophy This dissertation contests David Albert’s recent arguments that the proposition that the universe began in a particularly low entropy state (the “past hypothesis”) is necessary and ...

Suppose that a consistent one-step numerical method of order r is applied to a smooth system of ordinary differential equations. Given any integer m > 1, the method may be shown to be of order r + m as an approximation to a certain modi"ed equation. If the method and the system have a particular qualitative property then it is important to determine whether the modi"ed equations inherit this pr...

Whether reversibility in airway obstruction with beta-adrenergic stimulant is a significant determinant for the outcome was tested in 59 patients with pulmonary emphysema and chronic bronchitis. During four years of follow-up, 43 (73 percent) patients survived and 16 (27 percent) died. Initial VC. FVC, FEV1, and PaO2 were significantly smaller, and PaCO2 was significantly larger in nonsurvivors...

The perception of breathlessness is a subject-related factor which is linked to respiratory disease, cardiac disease and overweight. We studied the distribution of breathlessness, its association with respiratory disease, cardiac disease and overweight, as well as its association with lung function, reversibility of airway obstruction ("reversibility") and peak expiratory flow (PEF) variability...

This paper analyses the turbulent energy cascade from perspective of statistical mechanics, and relates interscale fluxes to irreversibility information entropy production. The microscopical reversibility is tested by constructing a reversible three-dimensional system using dynamic model for sub-grid stresses. system, when reversed in time, develops sustained inverse towards large scales, evide...

2 The classical networks 186 2.1 Main results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 2.2 Stationarity and reversibility . . . . . . . . . . . . . . . . . . . . 191 2.3 Homogeneous nodes of Kelly type . . . . . . . . . . . . . . . . . . 195 2.4 Symmetric nodes . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 2.5 Quasi-reversibility . . . . . . . . . . . . . . . ...

While one-dimensional cellular automata have been well studied, there are relatively few results about multidimensional cellular automata; the investigation of cellular automata defined on Cayley trees constitutes an intermediate class. This paper studies the reversibility of linear cellular automata defined on Cayley trees with periodic boundary condition, where the local rule is given by f(x0...