Phase space cell expansion and borel summability for the Euclidean φ 3 4 theory

1977 ◽  
Vol 56 (3) ◽  
pp. 237-276 ◽  
Author(s):  
J. Magnen ◽  
R. Sénéor
Entropy ◽  
2003 ◽  
Vol 5 (2) ◽  
pp. 239-251 ◽  
Author(s):  
Francesco Quarati ◽  
Piero Quarati

AIChE Journal ◽  
1999 ◽  
Vol 45 (4) ◽  
pp. 906-915 ◽  
Author(s):  
Francesco Fornasiero ◽  
Leo Lue ◽  
Alberto Bertucco

1987 ◽  
Vol 109 (3) ◽  
pp. 437-480 ◽  
Author(s):  
J. Feldman ◽  
J. Magnen ◽  
V. Rivasseau ◽  
R. S�n�or

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.


Author(s):  
M.A. O'Keefe ◽  
Sumio Iijima

We have extended the multi-slice method of computating many-beam lattice images of perfect crystals to calculations for imperfect crystals using the artificial superlattice approach. Electron waves scattered from faulted regions of crystals are distributed continuously in reciprocal space, and all these waves interact dynamically with each other to give diffuse scattering patterns.In the computation, this continuous distribution can be sampled only at a finite number of regularly spaced points in reciprocal space, and thus finer sampling gives an improved approximation. The larger cell also allows us to defocus the objective lens further before adjacent defect images overlap, producing spurious computational Fourier images. However, smaller cells allow us to sample the direct space cell more finely; since the two-dimensional arrays in our program are limited to 128X128 and the sampling interval shoud be less than 1/2Å (and preferably only 1/4Å), superlattice sizes are limited to 40 to 60Å. Apart from finding a compromis superlattice cell size, computing time must be conserved.


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