Surfaces of Constant Temperature in Time
MetadataShow full item record
The inverse relationship between energy and time is as familiar as Planck's constant. From the point of view of a system with many states, perhaps a better representation of the system is a vector of characteristic times (one per state) for example, a canonically distributed system. In the vector case the inverse relationship persists, this time as a relation between the $L_2$ norms. That relationship is derived herein. An unexpected benefit of the vectorized time viewpoint is the determination of surfaces of constant temperature in terms of the time coordinates. The results apply to all empirically accessible systems, that is situations where details of the dynamics are recorded at the microscopic level of detail. This includes all manner of simulation data of statistical mechanical systems as well as experimental data from actual systems (e.g. the internet, financial market data) where statistical physical methods have been applied.
Showing items related by title, author, creator and subject.
Nagashima, M.; Agrawal, B.N. (2012);For a large Adaptive Optics (AO) system such as a large Segmented Mirror Telescope (SMT), it is often difficult, although not impossible, to directly apply common Multi-Input Multi-Output (MIMO) controller design methods ...
Spin stabilization of the ORION satellite using a thruster attitude control system with optimal control considerations Cunningham, Janet L. (Naval Postgraduate School, 1989);The controlled system is the ORION satellite spinning about its single axis of symmetry. Hydrazine thrusters are used as the control and are modeled by ideal, constant magnitude step functions. The system is normalized and ...
Pugliese, Antonio; Enos, James; Nilchiani, Roshanak (Monterey, California. Naval Postgraduate School, 2018-04-30); SYM-AM-18-165The approach of the Department of Defense (DoD) to acquisition programs is strongly based on systems engineering. DoD Directive 5000.01 calls for "the application of a systems engineering approach that optimizes total ...