A Mean-Field Analysis for the Two-Tiered Healthcare Network Through Nonlinear Markov Processes

2016 ◽  
pp. 53-64 ◽  
Author(s):  
Na Li ◽  
Quan-Lin Li ◽  
Rui-Na Fan
Keyword(s):  
Markov Processes ◽  
Mean Field ◽  
Field Analysis ◽  
Healthcare Network ◽  
Nonlinear Markov Processes

MICRO-DYNAMIC ASSOCIATED WITH TWO-STATE NONLINEAR MARKOV PROCESSES: WITH AN APPLICATION TO FREE RECALL

2011 ◽  
Vol 10 (01) ◽  
pp. 41-58 ◽  
Author(s):  
T. D. FRANK ◽  
T. RHODES
Keyword(s):  
Free Recall ◽  
Markov Processes ◽  
Dynamic Models ◽  
Mean Field ◽  
Variational Calculus ◽  
State Model ◽  
Recall Data ◽  
Nonlinear Markov Processes ◽  
Many Body Systems ◽  
Two State Model

We examine the relationship between time-discrete nonlinear Markov processes defined in terms of nonlinear Markov chains and corresponding micro-dynamic models describing many-body systems composed of a finite number of units interacting with each other via a mean field. To this end, we consider a two-state model and examine appropriately defined measures for attractor strength and noise amplitude using variational calculus. We focus on a two-state model and demonstrate an application to free recall data from 8 participants.

scholarly journals Mean Field Analysis of Orientation Selective Grain Growth Driven By Interface-Energy Anisotropy

1994 ◽  
Vol 343 ◽  
Author(s):  
J. A. Floro ◽  
C. V. Thompson
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Texture Evolution ◽  
Mean Field ◽  
Orientation Distribution ◽  
Interface Energy ◽  
Abnormal Grain Growth ◽  
Field Analysis ◽  
Energy Anisotropy

ABSTRACTAbnormal grain growth is characterized by the lack of a steady state grain size distribution. In extreme cases the size distribution becomes transiently bimodal, with a few grains growing much larger than the average size. This is known as secondary grain growth. In polycrystalline thin films, the surface energy γs and film/substrate interfacial energy γi vary with grain orientation, providing an orientation-selective driving force that can lead to abnormal grain growth. We employ a mean field analysis that incorporates the effect of interface energy anisotropy to predict the evolution of the grain size/orientation distribution. While abnormal grain growth and texture evolution always result when interface energy anisotropy is present, whether secondary grain growth occurs will depend sensitively on the details of the orientation dependence of γi.

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