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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.
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.
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.
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 ...
The system must remain totally isolated (unable to exchange energy or particles with its environment) in order to stay in statistical equilibrium. [2] Canonical ensemble (or NVT ensemble)—a statistical ensemble where the energy is not known exactly but the number of particles is fixed. In place of the energy, the temperature is specified.
Some analytical results can also be obtained if one makes certain assumptions about the nature of highly excited energy eigenstates. The original 1994 paper on the ETH by Mark Srednicki studied, in particular, the example of a quantum hard sphere gas in an insulated box. This is a system which is known to exhibit chaos classically. [1]
An isolated system, a system without any external exchange; Isolating language, a type of language with a low morpheme-per-word ratio; Isolation (microbiology), techniques to separate microbes from a sample containing mixtures of microbes
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.