Equilibrium States of Mechanically Loaded Saturated and Unsaturated Polymer Gels

2009 ◽  
Vol 99 (1) ◽  
pp. 39-73 ◽  
Author(s):  
Hua Deng ◽  
Thomas J. Pence
Author(s):  
J. A. N. Zasadzinski ◽  
R. K. Prud'homme

The rheological and mechanical properties of crosslinked polymer gels arise from the structure of the gel network. In turn, the structure of the gel network results from: thermodynamically determined interactions between the polymer chain segments, the interactions of the crosslinking metal ion with the polymer, and the deformation history of the network. Interpretations of mechanical and rheological measurements on polymer gels invariably begin with a conceptual model of,the microstructure of the gel network derived from polymer kinetic theory. In the present work, we use freeze-etch replication TEM to image the polymer network morphology of titanium crosslinked hydroxypropyl guars in an attempt to directly relate macroscopic phenomena with network structure.


2008 ◽  
pp. 77-88
Author(s):  
M. Likhachev

The article is devoted to the analysis of methodological problems in using the conception of macroeconomic equilibrium in contemporary economics. The author considers theoretical status and relevance of equilibrium conception and discusses different areas and limits of applicability of the equilibrium theory. Special attention is paid to different epistemological criteria for this theory taking into account both empirical analysis of the real stability of economic systems and the problem of unobservability of equilibrium states.


2011 ◽  
Vol 36 (12) ◽  
pp. 1720-1731 ◽  
Author(s):  
Zu-Shu LI ◽  
Yuan-Hong DAN ◽  
Xiao-Chuan ZHANG ◽  
Lin XIAO ◽  
Zhi TAN

2021 ◽  
Vol 289 ◽  
pp. 102363
Author(s):  
Wanli Kang ◽  
Xin Kang ◽  
Zeeshan Ali Lashari ◽  
Zhe Li ◽  
Bobo Zhou ◽  
...  

2021 ◽  
Vol 9 (2) ◽  
pp. 1-22
Author(s):  
Shuchi Chawla ◽  
Joseph (Seffi) Naor ◽  
Debmalya Panigrahi ◽  
Mohit Singh ◽  
Seeun William Umboh

This article studies the equilibrium states that can be reached in a network design game via natural game dynamics. First, we show that an arbitrarily interleaved sequence of arrivals and departures of players can lead to a polynomially inefficient solution at equilibrium. This implies that the central controller must have some control over the timing of agent arrivals and departures to ensure efficiency of the system at equilibrium. Indeed, we give a complementary result showing that if the central controller is allowed to restore equilibrium after every set of arrivals/departures via improving moves , then the eventual equilibrium states reached have exponentially better efficiency.


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