Boltzmann Collision Operator With Inverse Power Intermolecular Potentials
Boltzmann Collision Operator With Inverse Power Intermolecular Potentials
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Now for the derivatives of s(c, k) with respect to c and k, we use the relation 1(3^)"^ J^(x)l = |x-^ J^(x)| ib (130) where x denotes t. Sin 29|cxk| . We note that the derivatives of 2 X with respect to c and k can be easily calculated. The end result may be stated as |3^[C(c)s(c, k)]| b | c | ^ | k | ^"^ - g-N (13^) 60 2 2 and for c > k, inequality C65) Indicates that uCc) > |blcnk|2v ^ ib|cr+2v _ 1 ^ (^35) which together with (13^) yield Re[Cl-e)Sjj^(c, k) + |uCc)] > b(c^+k^)^ - g^ N (136) f...or all c and k. We next consider (111) and note that if lc| is large enough, then Re[(l-e)s^(c, k) + |u(c) + v(c, k)] > bCc^+k^)"^ - Jn (137) and we shall take c to be so large that (137) is valid for IcI > c .
What to read after Boltzmann Collision Operator With Inverse Power Intermolecular Potentials?
You can find similar books in the "Read Also" column, or choose other free books by Young Ping Pao to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Now for the derivatives of s(c, k) with respect to c and k, we use the relation 1(3^)"^ J^(x)l = |x-^ J^(x)| ib (130) where x denotes t. Sin 29|cxk| . We note that the derivatives of 2 X with respect to c and k can be easily calculated. The end result may be stated as |3^[C(c)s(c, k)]| b | c | ^ | k | ^"^ - g-N (13^) 60 2 2 and for c > k, inequality C65) Indicates that uCc) > |blcnk|2v ^ ib|cr+2v _ 1 ^ (^35) which together with (13^) yield Re[Cl-e)Sjj^(c, k) + |uCc)] > b(c^+k^)^ - g^ N (136) f...or all c and k. We next consider (111) and note that if lc| is large enough, then Re[(l-e)s^(c, k) + |u(c) + v(c, k)] > bCc^+k^)"^ - Jn (137) and we shall take c to be so large that (137) is valid for IcI > c .
What to read after Boltzmann Collision Operator With Inverse Power Intermolecular Potentials?
You can find similar books in the "Read Also" column, or choose other free books by Young Ping Pao to read onlineMoreLess
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