Collective systems:physical and information exergies.

Abstract

Collective systems are typically defined as a group of agents (physical and/or cyber) that work together to produce a collective behavior with a value greater than the sum of the individual parts. This amplification or synergy can be harnessed by solving an inverse problem via an information-flow/communications grid: given a desired macroscopic/collective behavior find the required microscopic/individual behavior of each agent and the required communications grid. The goal of this report is to describe the fundamental nature of the Hamiltonian function in the design of collective systems (solve the inverse problem) and the connections between and values of physical and information exergies intrinsic to collective systems. In particular, physical and information exergies are shown to be equivalent based on thermodynamics and Hamiltonian mechanics.3 Acknowledgment

Colloidal Energetic Systems

“…There have been many attempts to describe, in the most exhaustive way, complex collective systems as thermodynamic ensembles, yet all of them suffer from quite heavy assumptions and limitations. For example, Robinett and Wilson report that, using a Hamiltonian representation of thermodynamics, the physical and information exergies are equivalent . Although the approach may be attractive, it is based on completely wrong assumptions, as remarkably and shortly pointed out by Streater .…”

“…For example, Robinett and Wilson report that, using a Hamiltonian representation of thermodynamics, the physical and information exergies are equivalent. [22] Although the approach may be attractive, it is based on completely wrong assumptions, as remarkably and shortly pointed out by Streater. [23] Nevertheless, it is of fundamental importance to understand that the quantum nature of matter brings along some very important outcomes.…”

Nonlinear power flow control applied to power engineering

“…In this section, an analog of the linear mass-springdamper system, an RLC electrical network, is employed to explain the connection between nonlinear power flow (exergy/entropy) control [1], [2], [3] (also see appendix) and power engineering. The discussion begins by following the harmonic excitation development of a linear mass-springdamper system by [11].…”

“…Figure 3 shows the 3D Hamiltonian (left) and phase plane plots (right) for optimal and suboptimal power flows. As can be seen from the suboptimal plots, part of the applied voltage is supporting the off-resonant storage system by varying the limit cycle trajectory across the Hamiltonian surface to produce the desired phase plane limit cycle [1], [2], [3].…”

Design tools for complex dynamic security systems.

“…In particular, physical and information exergies are shown to be equivalent based on thermodynamics and Hamiltonian mechanics. Further developments of exergy/entropy concepts applied to collective systems for both physical and information exergies are given in reference [43].…”