A Treatise On the Kinetic Theory of Gases
A Treatise On the Kinetic Theory of Gases
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And K being small the solution agrees with that of Art. 29. It does not however agree with that of Art. 29 when K", &c. Cannot be neglected. Which result then are we to accept in this case ? Evidently the result e~^ x, because Art. 29 is based on the tacit assumption of condition A, and therefore holds only for small values of K. To sum up the discussions of this problem.
o If K be neglected, the law of density is e~ 2hx, with T = -^ . If K 3, &c. , but not K, be neglected, the law is e~ 2ftx e...~' c, with If /c 2, &c. , are not to be neglected, the law is - h ^6~ K, with T ^ ~ VIII. ] GENERAL THEORY OF THE STATIONARY MOTION. 107 Boltzmanris Minimum function.
104. The following theorem is not to be compared in egance with the theorem founded on condition A, Art. 38, but has the advantage that condition A is not assumed.
Let f(u l . . . U n x l . . . Z n ), or /, be any positive function of the coordinates x^... Z ny and velocities u^... U n, of a system of molecules, and of certain parameters a, 6, &c.
What to read after A Treatise On the Kinetic Theory of Gases?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Hawksley Burbury to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
And K being small the solution agrees with that of Art. 29. It does not however agree with that of Art. 29 when K", &c. Cannot be neglected. Which result then are we to accept in this case ? Evidently the result e~^ x, because Art. 29 is based on the tacit assumption of condition A, and therefore holds only for small values of K. To sum up the discussions of this problem.
o If K be neglected, the law of density is e~ 2hx, with T = -^ . If K 3, &c. , but not K, be neglected, the law is e~ 2ftx e...~' c, with If /c 2, &c. , are not to be neglected, the law is - h ^6~ K, with T ^ ~ VIII. ] GENERAL THEORY OF THE STATIONARY MOTION. 107 Boltzmanris Minimum function.
104. The following theorem is not to be compared in egance with the theorem founded on condition A, Art. 38, but has the advantage that condition A is not assumed.
Let f(u l . . . U n x l . . . Z n ), or /, be any positive function of the coordinates x^... Z ny and velocities u^... U n, of a system of molecules, and of certain parameters a, 6, &c.
What to read after A Treatise On the Kinetic Theory of Gases?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Hawksley Burbury to read onlineMoreLess
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