Physics Department - Information Swimmers
Supporting the below United Nations Sustainable Development Goals:支持以下聯合國可持續發展目標:支持以下联合国可持续发展目标:
Abstract
We introduce the informational Onsager-Machlup principle (IOMP), a generalized variational framework that unifies energetic, dissipative, and informational contributions within a single formalism. We define the conditioned Onsager-Machlup integral to quantify path entropy under a given memory state and derive the cumulant generating function for arbitrary observables in systems with measurement and feedback. We apply the IOMP to a minimal model information swimmer, where feedback adaptively modulates viscous drag based on noisy velocity measurements. We provide an analytical expression for the average swimming velocity and higher-order cumulants.