arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2202.07653cond-mat.stat-mechnlin.CD
收藏

Lorenz系统的热力学效率

The thermodynamic efficiency of the Lorenz system

Álvaro G. López, Fernando Benito, Juan Sabuco, Alfonso Delgado-Bonal

AI总结:

推导了Malkus-Lorenz水轮机热力学效率的精确解析公式,发现效率随远离平衡而增加,但在临界分岔点突降,为耗散系统演化提供了热力学准则。

摘要:

我们研究了Malkus-Lorenz水轮机的热力学效率。为此,我们推导出一个精确的解析公式,将该耗散结构的效率描述为相空间变量和动力学系统常数参数的函数。我们表明,通常情况下,随着机器通过增加从环境中摄取物质而逐渐被驱动远离热力学平衡,其效率也趋于增加。然而,在导致混沌动力学的临界分岔点处,发现效率会突然下降。我们将效率的这些不连续危机与吸引子沿相空间维度投影的平均值的减少联系起来,这些维度对系统中的熵产生率有贡献。通过这种方式,我们提供了一个热力学准则,该准则可能支配着远离平衡的耗散系统向其自组装和同步化为日益复杂的网络和结构的演化。

英文摘要:

We study the thermodynamic efficiency of the Malkus-Lorenz waterwheel. For this purpose, we derive an exact analytical formula that describes the efficiency of this dissipative structure as a function of the phase space variables and the constant parameters of the dynamical system. We show that, generally, as the machine is progressively driven far from thermodynamic equilibrium by increasing its uptake of matter from the environment, it also tends to increase its efficiency. However, sudden drops in the efficiency are found at critical bifurcation points leading to chaotic dynamics. We relate these discontinuous crises in the efficiency to a reduction of the attractor's average value projected along the phase space dimensions that contribute to the rate of entropy generation in the system. In this manner, we provide a thermodynamic criterion that, presumably, governs the evolution of far-from-equilibrium dissipative systems towards their self-assembly and synchronization into increasingly complex networks and structures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑