| Presentation | 2002/8/28 Statistical Molecular Thermodynamical Analysis for Integrals for Collisions among the Biomolecular Particles. H Hirayama, Y Okita, T Sugiura, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The present technical report introduced an analytic mathematical method to calculate the collision integral. The original paper was firstly proposed by Burnett D in 1935. We give more detailed explanation for his method. The collision integral was described by ∬ ∬ ∬ F exp(-hm_1C_1^2-hm_2C_2^2)dU1 dV1 dW1 dU2 dV2 dW2, were cl,c2 are the precollision velocity and UnVnWn are their three components. F is an integrable function which is timed by the Sonine Polynomials. For the case of F= S^k_<1/2>(hm_1C^1_1^2)S^n_<1/2>(hm_lC_l^2) ,the collision integral decreased as the collision deflection angle X has approached to π. The present method,although classical is an analytic one and will be available for describing mechanical contact among the biophysical particles. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Biophysical particles / Thermodynamics / Collision / Sonine Polynomials / Deflection angle |
| Paper # | NLP2002-66 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2002/8/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical Molecular Thermodynamical Analysis for Integrals for Collisions among the Biomolecular Particles. |
| Sub Title (in English) | |
| Keyword(1) | Biophysical particles |
| Keyword(2) | Thermodynamics |
| Keyword(3) | Collision |
| Keyword(4) | Sonine Polynomials |
| Keyword(5) | Deflection angle |
| 1st Author's Name | H Hirayama |
| 1st Author's Affiliation | Department of Public Health, Asahikawa Medical College() |
| 2nd Author's Name | Y Okita |
| 2nd Author's Affiliation | Shizuoka univ. |
| 3rd Author's Name | T Sugiura |
| 3rd Author's Affiliation | Shizuoka univ. |
| Date | 2002/8/28 |
| Paper # | NLP2002-66 |
| Volume (vol) | vol.102 |
| Number (no) | 298 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |