Thermodynamic efficiency of information and heat flow
Thermodynamic efficiency of information and heat flow
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DOI：
10.1088/1742-5468/2009/09/p09011
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发表时间：
2009-09-01
影响因子：
2.4
通讯作者：
Mahler, Guenter
中科院分区：
文献类型：
--
作者：
Allahverdyan, Armen E.;Janzing, Dominik;Mahler, Guenter
信息处理的一个基本任务是信息传递（流动）。在这里，我们研究了一对布朗粒子，每个耦合到一个热浴在温度T-1和T-2。这种系统中的信息流是通过时移互信息来定义的。信息流在平衡时为零，其效率定义为信息流与系统总熵产生的比率。对于静止状态，信息从较高温度流向较低温度，并且其效率由（max[T-1，T-2]）/（竖线T-1-T-2竖线）从上限定。这个上限是由第二定律，它量化的热力学成本的信息流在本类系统。它可以在绝热情况下达到，其中粒子具有广泛不同的特征时间。热的效率。低-定义为散热总量上的热流-从上面受到相同因子的限制。热量和信息流之间存在互补性：对前者最有效的设置对后者最无效，反之亦然。在某些非平稳情况下，效率的上述界限可以（暂时）克服，但效率仍然受到限制。我们还研究了文献中提出的另一种信息处理措施（传递熵）。虽然这种措施不需要任何热力学成本，信息流和转移熵被证明是密切相关的稳态。
A basic task of information processing is information transfer (flow). Here we study a pair of Brownian particles each coupled to a thermal bath at temperatures T-1 and T-2. The information flow in such a system is defined via the time-shifted mutual information. The information flow nullifies at equilibrium, and its efficiency is defined as the ratio of the flow to the total entropy production in the system. For a stationary state the information flows from higher to lower temperatures, and its efficiency is bounded from above by (max[T-1, T-2])/(vertical bar T-1-T-2 vertical bar). This upper bound is imposed by the second law and it quantifies the thermodynamic cost for information flow in the present class of systems. It can be reached in the adiabatic situation, where the particles have widely different characteristic times. The efficiency of heat. low-defined as the heat flow over the total amount of dissipated heat-is limited from above by the same factor. There is a complementarity between heat and information flow: the set-up which is most efficient for the former is the least efficient for the latter and vice versa. The above bound for the efficiency can be (transiently) overcome in certain non-stationary situations, but the efficiency is still limited from above. We study yet another measure of information processing (transfer entropy) proposed in the literature. Though this measure does not require any thermodynamic cost, the information flow and transfer entropy are shown to be intimately related for stationary states.