Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism

1969 ◽  
Vol 1 (2) ◽  
pp. 194-212 ◽  
Author(s):  
N. N. Bogolyubov ◽  
D. Ya. Petrina ◽  
B. I. Khatset
Keyword(s):  
Equilibrium State ◽  
Mathematical Description ◽  
Canonical Ensemble ◽  
Classical Systems ◽  
Ensemble Formalism

scholarly journals Entropy and canonical ensemble of hybrid quantum classical systems

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
J. L. Alonso ◽  
C. Bouthelier ◽  
A. Castro ◽  
J. Clemente-Gallardo ◽  
J. A. Jover-Galtier
Keyword(s):  
Canonical Ensemble ◽  
Classical Systems

scholarly journals NONLIFE INSURANCE PRICING: STATISTICAL MECHANICS VIEWPOINT

2005 ◽  
Vol 16 (01) ◽  
pp. 167-175 ◽  
Author(s):  
AMIR H. DAROONEH
Keyword(s):  
Statistical Mechanics ◽  
Equilibrium State ◽  
Financial Market ◽  
Physical System ◽  
Canonical Ensemble ◽  
Quantitative Comparison ◽  
Insurance Company ◽  
Insurance Pricing ◽  
Premium Calculation ◽  
Car Insurance

We consider the insurance company as a physical system which is immersed in its environment (the financial market). The insurer company interacts with the market by exchanging the money through the payments for loss claims and receiving the premium. Here, in the equilibrium state, we obtain the premium by using the canonical ensemble theory, and compare it with the Esscher principle, the well-known formula in actuary for premium calculation. We simulate the case of car insurance for quantitative comparison.

A Hitherto Undescribed Naturally Occurring Plasma Antagonist of Activated Factor X Inhibitor (Antithrombin III)

1979 ◽  
Author(s):  
E. T. Yin ◽  
W. J. Salsgiver ◽  
O. Tangen
Keyword(s):  
Equilibrium State ◽  
Human Plasma ◽  
Antithrombin Iii ◽  
Circumstantial Evidence ◽  
Incubation Mixture ◽  
Factor X ◽  
Normal Human Plasma ◽  
Plasma Component ◽  
Naturally Occurring ◽  
Normal Human

Circumstantial evidence suggested that normal human plasma contained a substance regulating the neutralization of F.Xa by F.Xa inhibitor(XaI), (Yin et.al.,Adv.Exper. Med. & Biol., 52 : 239, 1975, Plenum Press, N.Y.).This plasma component has now been isolated and partially purified in our laboratory, and tentatively designated as “Anti-XaI”.In experiments employing purified components, when Anti-XaI was incubated at 37°C with F.Xa, Xal and heparin for two minutes at pH7.5, the amount of F.Xa inhibited was inversely proportional to the Anti-XaI concentration. But, when the F.Xa was replaced by thrombin in the incubation mixture, the neutralization of thrombin clotting activity was undisturbed.Anti-XaI was found to be neither PF3 nor PF4.These and other data strongly suggest that the “Antithrombin III pathway” is more complex than currently believed to be. In circulating blood an equilibrium state must exist between Anti-XaI and XaI.Under certain conditions when the Anti-XaI activity is predominant the rate of F.Xa neutralization bv XaI then becomes slower than the activation of prothrombin to thrombin by F.Xa.

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