scholarly journals The Effect of Diffusion on the Analysis of Pulsed Radiolysis Drift Tube Experiments

1981 ◽  
Vol 34 (6) ◽  
pp. 677 ◽  
Author(s):  
RA Cassidy

Electron drift velocities have previously been calculated from the transient waveforms recorded with a pulsed radiolysis drift tube (PRDT) using a first order theory in which it is assumed that diffusion during the drift of the electrons to the anode effectively increases the drift distance. In this paper the modifications to the transient waveforms caused by diffusion have been analysed more accurately by using a model representation of a group of electrons drifting and diffusing in a uniform electric field between plane, parallel absorbing electrodes. It is shown that, when account is taken of loss of electrons to the electrodes by diffusion, the correction factor differs in both magnitude and sign from that assumed in the first order theory.

Computability ◽  
2019 ◽  
Vol 8 (3-4) ◽  
pp. 347-358
Author(s):  
Matthew Harrison-Trainor

2015 ◽  
Vol 57 (2) ◽  
pp. 157-185 ◽  
Author(s):  
Peter Franek ◽  
Stefan Ratschan ◽  
Piotr Zgliczynski

1990 ◽  
Vol 55 (2) ◽  
pp. 626-636
Author(s):  
John T. Baldwin

AbstractLet T be a complete countable first order theory and λ an uncountable cardinal. Theorem 1. If T is not superstable, T has 2λ resplendent models of power λ. Theorem 2. If T is strictly superstable, then T has at least min(2λ, ℶ2) resplendent models of power λ. Theorem 3. If T is not superstable or is small and strictly superstable, then every resplendent homogeneous model of T is saturated. Theorem 4 (with Knight). For each μ ∈ ω ∪ {ω, 2ω} there is a recursive theory in a finite language which has μ resplendent models of power κ for every infinite κ.


1974 ◽  
Vol 17 (4) ◽  
pp. 471-477 ◽  
Author(s):  
Paul D. Bacsich

Given a first-order theory T, welet be the category of models of T and homomorphisms between them. We shall show that a morphism A→B of is an epimorphism if and only if every element of B is definable from elements of A in a certain precise manner (see Theorem 1), and from this derive the best possible Cowell- power Theorem for .


Sign in / Sign up

Export Citation Format

Share Document