scholarly journals Improving the linear relaxation of maximum k-cut with semidefinite-based constraints

2019 ◽  
Vol 7 (2) ◽  
pp. 123-151 ◽  
Author(s):  
Vilmar Jefté Rodrigues de Sousa ◽  
Miguel F. Anjos ◽  
Sébastien Le Digabel
Keyword(s):  
Author(s):  
Nikolay I. Kol'tsov

Recently the analysis of transient regimes of chemical reactions is paid much attention. This is due to the fact that the time-dependent relaxation modes prior to achieving steady states contain important information about the features of the reactions. During unsteady mode the changes in reactant concentrations and rate of the reaction in time are observed. These changes are due to their own relaxation processes, depending on the structure of the reaction mechanism. A complete study of the reaction mechanism involves the study of the relaxation characteristics both near and away from the stationary state. Linear relaxation time describes the local transient modes near the steady state and it is calculated as the time decrease deviations of reactant concentrations from steady-state values in the e-times. Non-linear relaxation time describes the overall behavior reactions and it can be evaluated through the reaction time from the initial state to a stationary. Depending on the structural features of reactions ratio to determine the non-linear relaxation time through of reactions parameters (rate constants stages and reactant concentrations) differ significantly. The establishment of such ratio for a particular reaction allows getting more information to identify the mechanism and the constituent rate constants of its stages. The mechanism of any catalytic reaction involves stages adsorption of one or more of the starting materials on the catalyst surface. As a rule these stages are initial remaining stages of chemical transformation of reactants adsorbed forms follow them. Therefore, it is necessary to have the data on these stages and rate constants of adsorption of reagents on the catalyst surface. Earlier by author the method for estimating the values of the rate constants of adsorption and desorption by linear relaxation times was described. This method was used for determine of mechanism and kinetic parameters of process of adsorption of carbon dioxide on the chromium oxide and gallium oxide catalysts. In this article the method for estimating the values of the rate constants of adsorption and desorption by non-linear relaxation times for this process is described. The previously found CO2 dissociative adsorption mechanism was proved by the obtained results. The intervals of values changes of the rate constants of adsorption and desorption of carbon dioxide on the gallium oxide and chromium oxide catalysts were defined.Forcitation:Kol’tsov N.I. Study of carbon dioxide adsorption on chromium oxide and gallium oxide catalysts on basis of non-linear relaxation times. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2018. V. 61. N 2. P. 46-52


2001 ◽  
Vol 11 (6) ◽  
pp. 312-319 ◽  
Author(s):  
Y.-C. Wang ◽  
S. Gunasekaran ◽  
A. J. Giacomin

AbstractThe viscoelasticity of reduced-fat Cheddar and Mozzarella cheeses was characterized in small (parallel disk rheometer, go = 0.01) and large (sliding plate rheometer, 0.2< go <7) amplitude oscillatory shear at 40 and 60˚C. We deduced the linear relaxation spectrum from the small strain measurements. At large strain amplitudes, we found sinusoidal stress responses whose amplitudes are well below those predicted from the linear relaxation spectrum, and yet remarkably linear with strain amplitude. We call this the large strain linear regime. We discovered that the Lodge rubberlike liquid can quantitatively explain the large strain linear regime if we scale down the relaxation moduli in the linear spectrum by a constant. This large strain linear regime persists to much higher strain amplitudes for Cheddar (go £ 4) than for Mozzarella (go £ 1). This is perhaps due to oriented structure of the protein matrix in the Mozzarella cheese.


1979 ◽  
Vol 40 (C7) ◽  
pp. C7-713-C7-714 ◽  
Author(s):  
J. G. Lominadze ◽  
G. Z. Machabeli ◽  
A. B. Mikhailovsky

1979 ◽  
Vol 34 (11) ◽  
pp. 1275-1278 ◽  
Author(s):  
S. Grossmann

A variational principle for linear relaxation phenomena is considered. I t connects relaxation with anti-relaxation. The latter one is governed by the transposed transport matrix and, in addition, by the diffusion matrix, which drops if Onsager-symmetry holds. This generalizes an earlier result by L. Waldmann


2011 ◽  
Vol 8 (2) ◽  
pp. 344-375 ◽  
Author(s):  
Mourad Baïou ◽  
Francisco Barahona

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