翻訳と辞書 Words near each other ・ Self-compassion ・ Self-competition ・ Self-complementary adeno-associated virus (scAAV) ・ Self-complementary antenna ・ Self-complementary graph ・ Self-complexity ・ Self-concealment ・ Self-concept ・ Self-concordant function ・ Self-condensation ・ Self-confidence ・ Self-confirming equilibrium ・ Self-conscious emotions ・ Self-consciousness ・ Self-consciousness (Vedanta) ・ Self-consistency principle in high energy Physics ・ Self-consistent mean field ・ Self-consistent mean field (biology) ・ Self-consolidating concrete ・ Self-Constitution ・ Self-construction (disambiguation) ・ Self-Consuming Artifacts ・ Self-contained breathing apparatus ・ Self-contained self-rescue device ・ Self-control ・ Self-Control (novel) ・ Self-control theory of crime ・ Self-control therapy ・ Self-coup ・ Self-criticism Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Self-consistency principle in high energy Physics ： ウィキペディア英語版 Self-consistency principle in high energy Physics The self-consistency principle was established by Rolf Hagedorn in 1965 to explain the thermodynamics of fireballs in high energy physics collisions. A thermodynamical approach to the high energy collisions first proposed by E. Fermi.〔E. Fermi. Prog. Theor. Phys. 5 (1950) 570.〕 ==Partition function== The partition function of the fireballs can be written in two forms, one in terms of its density of states, $\backslash sigma(E)$, and the other in terms of its mass spectrum, $\backslash rho(m)$. The self-consistency principle says that both forms must be asymptotically equivalent for energies or masses sufficiently high (asymptotic limit). Also, the density of states and the mass spectrum must be asymptotically equivalent in the sense of the weak constraint proposed by Hagedorn〔R. Hagedorn, Suppl. Al Nuovo Cimento 3 (1965) 147.〕 as :$log()=\; log()$. These two conditions are known as the ''self-consistency principle'' or ''bootstrap-idea''. After a long mathematical analysis Hagedorn was able to prove that there is in fact $\backslash textstyle\; \backslash rho(m)$ and $\backslash textstyle\; \backslash sigma(E)$ satisfying the above conditions, resulting in :$\backslash rho(m)\; =\; a\; m^\; exp(\backslash beta\_o\; m)$ and :$\backslash sigma(E)\; =\; b\; E^\; exp(\backslash beta\_o\; E)$ with $\backslash textstyle\; a$ and $\backslash textstyle\; \backslash alpha$ related by :$\backslash alpha=\backslash frac\backslash bigg)^-1$ where a singularity is clearly observed for $\backslash beta$ →$\backslash beta\_o$. This singularity determines the limiting temperature $\backslash textstyle\; T\_o=1/\backslash beta\; \_o$ in Hagedorn's theory, which is also known as Hagedorn temperature. Hagedorn was able not only to give a simple explanation for the thermodynamical aspect of high energy particle production, but also worked out a formula for the hadronic mass spectrum and predicted the limiting temperature for hot hadronic systems. After some time this limiting temperature was shown by N. Cabibbo and G. Parisi to be related to a phase transition,〔N. Cabibbo and G. Parisi, Phys. Lett. 59B (1975) 67.〕 which characterizes by the deconfinement of quarks at high energies. The mass spectrum was further analyzed by Steven Frautschi.〔S. Frautschi, Phys. Rev. D 11 (1971) 2821.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Self-consistency principle in high energy Physics」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.