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The concept of an isolated system can serve as a useful model approximating many real-world situations. It is an acceptable idealization used in constructing mathematical models of certain natural phenomena ; e.g., the planets in the Solar System , and the proton and electron in a hydrogen atom are often treated as isolated systems.
For a simple system, mechanical isolation is equivalent to a state of constant volume and any process which occurs in such a simple system is said to be isochoric. [1] The opposite of a mechanically isolated system is a mechanically open system, [citation needed] which allows the transfer of mechanical energy. For a simple system, a ...
Overall, in an isolated system, the internal energy is constant and the entropy can never decrease. A closed system's entropy can decrease e.g. when heat is extracted from the system. Isolated systems are not equivalent to closed systems. Closed systems cannot exchange matter with the surroundings, but can exchange energy.
Roughly, the fluctuation theorem relates to the probability distribution of the time-averaged irreversible entropy production, denoted ¯.The theorem states that, in systems away from equilibrium over a finite time t, the ratio between the probability that ¯ takes on a value A and the probability that it takes the opposite value, −A, will be exponential in At.
To maintain this constant entropy, any exchange of work energy with the environment must therefore be quasi-static in nature in order to ensure that the system remains essentially at equilibrium during the process. [1] The opposite of a thermally isolated system is a thermally open system, which allows the transfer of heat energy and entropy.
Systems can be isolated, closed, or open. A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. [1] A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and is expressed in its functioning.
The split between system and environment is the analyst's choice, generally made to simplify the analysis. For example, the water in a lake, the water in half of a lake, or an individual molecule of water in the lake can each be considered a physical system. An isolated system is one that has
2006-10-30 17:35 Whiteknight 1275×1650× (2082680 bytes) This is the PDF version of the [[Control Systems]] book. It has been produced by using Adobe PDF Professional, and converting the printable version of the book at [[Control Systems/Print version]]. This file has not been edited in anyway to differ from th