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首页> 外文期刊>Foundations of Physics: An International Journal Devoted to the Conceptual Bases and Fundamental Theories of Modern Physics, Biophysics & Cosmology >Had We But World Enough, and Time... But We Don’t!: Justifying the Thermodynamic and Infinite-Time Limits in Statistical Mechanics
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Had We But World Enough, and Time... But We Don’t!: Justifying the Thermodynamic and Infinite-Time Limits in Statistical Mechanics

机译：我们已经足够了，时间和时间......但我们没有！：在统计力学中证明热力学和无限时间限制

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摘要

In this paper, I compare the use of the thermodynamic limit in the theory of phase transitions with the infinite-time limit in the explanation of equilibrium statistical mechanics. In the case of phase transitions, I will argue that the thermodynamic limit can be justified pragmatically since the limit behavior (i) also arises before we get to the limit and (ii) for values of N that are physically significant. However, I will contend that the justification of the infinite-time limit is less straightforward. In fact, I will point out that even in cases where one can recover the limit behavior for finite t , i.e. before we get to the limit, one cannot recover this behavior for realistic time scales. I will claim that this leads us to reconsider the role that the rate of convergence plays in the justification of infinite limits and calls for a revision of the so-called Butterfield’s principle.
机译：在本文中，我比较了在均衡统计力学解释中的阶段过渡理论中的热力学极限的使用。 在相位过渡的情况下，我将争辩说，由于在我们达到了物理上显着的N值的极限和（ii）之前也出现了极限行为（i），因此可以务实地务实地理解热力学限制。 但是，我将争辩说无限时间限制的理由不太直接。 事实上，我会指出，即使在人们可以恢复有限T的限制行为，即在我们到达极限之前，一个人无法恢复现实时间尺度的这种行为。 我会声称，这使我们能够重新考虑收敛速度在无限限制的理由中发挥的作用，并要求修改所谓的Butterfield的原则。

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