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arXiv 1009.2672quant-phcond-mat.stat-mech
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热力学循环中的量子麦克斯韦恶魔

Quantum Maxwell's Demon in Thermodynamic Cycles

H. Dong, D. Z. Xu, C. P. Sun

摘要:

从量子力学的角度描述了Maxwell 'sDemon(MD)的位置测量、壁的插入和信息擦除,研究了MD在热力学循环中做功的物理机制。热机的例子是一个分子被限制在一个无限深的平方势插入一个可移动的固体壁,而MD被建模为一个两级系统(TLS)的测量和控制的分子的运动。发现具有量子相干性的分子动力学或在比粒子热浴温度低的温度下,将增强系统加上分子动力学所形成的整个工作物质对外做功的能力。这一观察结果表明,MD的作用本质上是驱动整个工作物质偏离平衡,或等效地以有效温差工作。对该模型的深入研究揭示了有限尺寸对Szilard热机热力学极限的影响,这与Szilard热机的一般理论相悖。详细计算了量子SHE的效率,证明了热力学第二定律的正确性。

英文摘要:

We study the physical mechanism of Maxwell's Demon (MD) helping to do extra work in thermodynamic cycles, by describing measurement of position, insertion of wall and information erasing of MD in a quantum mechanical fashion. The heat engine is exemplified with one molecule confined in an infinitely deep square potential inserted with a movable solid wall, while the MD is modeled as a two-level system (TLS) for measuring and controlling the motion of the molecule. It is discovered that the the MD with quantum coherence or on a lower temperature than that of the heat bath of the particle would enhance the ability of the whole work substance formed by the system plus the MD to do work outside. This observation reveals that the role of the MD essentially is to drive the whole work substance being off equilibrium, or equivalently working with an effective temperature difference. The elaborate studies with this model explicitly reveal the effect of finite size off the classical limit or thermodynamic limit, which contradicts the common sense on Szilard heat engine (SHE). The quantum SHE's efficiency is evaluated in detail to prove the validity of second law of thermodynamics.

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