The exchange fluctuation theorem in quantum mechanics

We study the heat transfer between two finite quantum systems initially at different temperatures. We find that a recently proposed fluctuation theorem for heat exchange, namely the exchange fluctuation theorem [C. Jarzynski and D. K. Wojcik, Phys. Rev. Lett. 92, 230602 (2004)], does not generally hold in the presence of a finite heat transfer as in the original form proved for weak coupling. As the coupling is weakened, the deviation from the theorem and the heat transfer vanish in the same order of the coupling. We then discover a condition for the exchange fluctuation theorem to hold in the presence of a finite heat transfer, namely the commutable-coupling condition. We explicitly calculate the deviation from the exchange fluctuation theorem as well as the heat transfer for simple models. We confirm for the models that the deviation indeed has a finite value as far as the coupling between the two systems is finite except for the special point of the commutable-coupling condition. We also confirm analytically that the commutable-coupling condition indeed lets the exchange fluctuation theorem hold exactly under a finite heat transfer.Comment: 16 pages, 3 figures, to appear in Progress of Theoretical Physics, Vol. 121, No. 6 (2009

UBC13を介したユビキチン経路によるDNA二重鎖切断端の付加体除去の促進

付記する学位プログラム名: 充実した健康長寿社会を築く総合医療開発リーダー育成プログラム京都大学0048新制・課程博士博士(医学)甲第22730号医博第4648号新制||医||1046(附属図書館)京都大学大学院医学研究科医学専攻(主査)教授 遊佐 宏介, 教授 溝脇 尚志, 教授 篠原 隆司学位規則第4条第1項該当Doctor of Medical ScienceKyoto UniversityDFA