Statistical mechanical theory of polymers. IV. Equation of state for the Lennard‐Jones model of a single ring polymer

1977 ◽  
Vol 66 (12) ◽  
pp. 5809-5816 ◽  
Author(s):  
Narinder K. Ailawadi ◽  
Jamshid Naghizadeh
Keyword(s):  
Equation Of State ◽  
Mechanical Theory ◽  
Lennard Jones ◽  
Single Ring ◽  
Jones Model ◽  
Statistical Mechanical ◽  
Ring Polymer

scholarly journals VAN DER WAALS MIXING RULES FOR THE REDLICH-KWONG EQUATION OF STATE. APPLICATION FOR SUPERCRITICAL SOLUBILITY MODELING

REAKTOR ◽  
2006 ◽  
Vol 10 (2) ◽  
pp. 96
Author(s):  
Ratnawati Ratnawati
Keyword(s):  
Equation Of State ◽  
Supercritical Fluid ◽  
Van Der Waals ◽  
Mixing Rules ◽  
Mechanical Theory ◽  
Fluid System ◽  
Equal Zero ◽  
Cubic Equation ◽  
Data Points ◽  
Statistical Mechanical

A solid-supercritical fluid system is highly asymmetric in terms of the size and energy differences of the components. The key point in extending a cubic equation of state to such system is on the choice of proper mixing rules. New mixing rules for the Redlich-Kwong equation of state are developed. The developement is based on the statistical-mechanical theory of the van der Waals mixing rules. The Redlich Kwong equation of state with the proposed mixing rules along with the original ones is used to predict solubilities of solids in supercritical fluid. The prediction is done with kij equal zero, as well as with optimized kij.  The results show superiority of the proposed mixing rules over the original ones. For most of the systems considered, the proposed mixing rules with the kij equal zero are closer to the experimental data than the original ones do. For 28 systems with 521 data points taken from various sources, the original and the proposed mixing rules give the overall AAD of 13.4%, while the original mixing rules give 45.9%.

scholarly journals Equation of state of detonation products based on statistical mechanical theory

2007 ◽  
Vol 56 (8) ◽  
pp. 4791
Author(s):  
Zhao Yan-Hong ◽  
Liu Hai-Feng ◽  
Zhang Gong-Mu
Keyword(s):  
Equation Of State ◽  
Mechanical Theory ◽  
Detonation Products ◽  
Statistical Mechanical

Statistical-mechanical theory of rheology: Lennard-Jones fluids

2005 ◽  
Vol 123 (23) ◽  
pp. 234507 ◽  
Author(s):  
Rozita Laghaei ◽  
Afshin Eskandari Nasrabad ◽  
Byung Chan Eu
Keyword(s):  
Mechanical Theory ◽  
Lennard Jones ◽  
Statistical Mechanical

Equation of state of a Lennard-Jones 12-6 pairwise additive fluid

1980 ◽  
Vol 45 (4) ◽  
pp. 977-983 ◽  
Author(s):  
Jan Sýs ◽  
Anatol Malijevský
Keyword(s):  
Equation Of State ◽  
Empirical Equation ◽  
The State ◽  
Critical Properties ◽  
Lennard Jones ◽  
State Behaviour ◽  
Compressibility Factors

An empirical equation of state was proposed, which is based on pseudoexperimental data on the state behaviour. The equation can be used at reduced temperatures from the range 0.7-100.0 and reduced densities up to 2. Calculated compressibility factors and critical properties agree well with available literature data.

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