论文标题
随机热力学中信息免费午餐的概率
Probabilities for informational free lunches in stochastic thermodynamics
论文作者
论文摘要
通过考虑明确的非平衡模型,我们分析了不可逆工作的统计数据,$ w _ {\ rm irr} $和不可逆的熵产生,$Δ_is $,在随机的能量框架内。将热力学的第二定律与$ w _ {\ rm irr} $相关的函数,我们引入了针对模型的另一组参数和模型的初始条件违反第二定律的规范形式的明确概率。此外,我们沿着相同的线研究了不可逆的熵产生,因为它可以作为不可逆转的工作的概括。从信息的角度来看,我们的结果允许在不进行工作的情况下量化信息的可能性,这与Landauer的原则相反,我们将其归类为信息免费午餐。我们选择了低信息含量(平衡)和高信息内容(Delta分布)的初始情况。
By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, $w_{\rm irr}$, and irreversible entropy production, $Δ_i s$, within the stochastic energetics framework. Restating the second law of thermodynamics as a function of $w_{\rm irr}$, we introduce the explicit probability of violating the canonical form of that second law for a different set of parameters and initial conditions of the model. Moreover, we study the irreversible entropy production along the same lines, since it can be cast as a generalization of the irreversible work. From an informational perspective, our result allows quantifying the probability of deleting information without performing work, contrarily to the Landauer's Principle, which we classify as an informational free lunch. We chose for initial conditions cases of low information content (equilibrium) and high information content (delta distributed).