A Formal Solution of the Equations of Statistical Equilibrium
A Formal Solution of the Equations of Statistical Equilibrium
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In our eReader you can find the full English version of the book. Read A Formal Solution of the Equations of Statistical Equilibrium Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Formal Solution of the Equations of Statistical Equilibrium
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For the purpose of identification with known resxilts one ceui show quite easily that the condition (l6) for a can be written as (17) af: nb^(ac)°-^ = 1 n=l where (18) ^1 = ^' \=^|^n(W-^n)^S - 5 are the well-known cluster integrals L-^-' . Therefore the product (19) ac = z is the activity and (I6), or (20) c = zH°[x, z], expresses the relation between density and activity. Equation (l4) can now be written (21) h[x, X] =f H°[x, |X + z] .
Equations (9), (12), (20) and (21) together describe the d...esired solution. The solution appears expressed in terms of the activity z; if one desires an expression in terms of the density, one must first invert eqviation (20). 5. Expansion to first order in the density As an example, we shall now use the obtained solution to calciilate the distribution function F neglecting terms of second order in the density. From (20) (22) f = H°[x, z] = 1 + z Equation (22) shows that (25) z = c +0(c^) so that, in the following, we will have to retain only terms of first order f G°(x, x^)dx^ + 0(z^).
What to read after A Formal Solution of the Equations of Statistical Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Bruno Zumino to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For the purpose of identification with known resxilts one ceui show quite easily that the condition (l6) for a can be written as (17) af: nb^(ac)°-^ = 1 n=l where (18) ^1 = ^' \=^|^n(W-^n)^S - 5 are the well-known cluster integrals L-^-' . Therefore the product (19) ac = z is the activity and (I6), or (20) c = zH°[x, z], expresses the relation between density and activity. Equation (l4) can now be written (21) h[x, X] =f H°[x, |X + z] .
Equations (9), (12), (20) and (21) together describe the d...esired solution. The solution appears expressed in terms of the activity z; if one desires an expression in terms of the density, one must first invert eqviation (20). 5. Expansion to first order in the density As an example, we shall now use the obtained solution to calciilate the distribution function F neglecting terms of second order in the density. From (20) (22) f = H°[x, z] = 1 + z Equation (22) shows that (25) z = c +0(c^) so that, in the following, we will have to retain only terms of first order f G°(x, x^)dx^ + 0(z^).
What to read after A Formal Solution of the Equations of Statistical Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Bruno Zumino to read onlineMoreLess
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