Elementary Principles in Statistical Mechanics Developed With Especial Referen
Elementary Principles in Statistical Mechanics Developed With Especial Referen
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.. * = 1, (441) f . A f. . . C which we get by multiplying (438) and (439), and subtract- ing (437), we have for the proposition to be proved all J. . . J[(, - % - Tfc) J + ** - e"] 0. (442) phases Let U = r 1 r }1 r ]2 . (443) The main proposition to be proved may be written all n > 0. (444) phases This is evidently true since the quantity in the parenthesis is incapable of a negative value. * Moreover the sign = can hold only when the quantity in the parenthesis vanishes for all phases, i. E.... , when u = for all phases. This makes i) = tj l + ?7 2 for all phases, which is the analytical condition which expresses that the distributions in phase of the two parts of the system are independent. Theorem VIII. If two or more ensembles of systems which are identical in nature, but may be distributed differently in phase, are united to form a single ensemble, so that the prob- ability-coefficient of the resulting ensemble is a linear function * See Theorem I, where this is proved of a similar expression.
What to read after Elementary Principles in Statistical Mechanics Developed With Especial Referen?
You can find similar books in the "Read Also" column, or choose other free books by J Willard Josiah Willard Gibbs to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
.. * = 1, (441) f . A f. . . C which we get by multiplying (438) and (439), and subtract- ing (437), we have for the proposition to be proved all J. . . J[(, - % - Tfc) J + ** - e"] 0. (442) phases Let U = r 1 r }1 r ]2 . (443) The main proposition to be proved may be written all n > 0. (444) phases This is evidently true since the quantity in the parenthesis is incapable of a negative value. * Moreover the sign = can hold only when the quantity in the parenthesis vanishes for all phases, i. E.... , when u = for all phases. This makes i) = tj l + ?7 2 for all phases, which is the analytical condition which expresses that the distributions in phase of the two parts of the system are independent. Theorem VIII. If two or more ensembles of systems which are identical in nature, but may be distributed differently in phase, are united to form a single ensemble, so that the prob- ability-coefficient of the resulting ensemble is a linear function * See Theorem I, where this is proved of a similar expression.
What to read after Elementary Principles in Statistical Mechanics Developed With Especial Referen?
You can find similar books in the "Read Also" column, or choose other free books by J Willard Josiah Willard Gibbs to read onlineMoreLess
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