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Setting Boundaries for Statistical Mechanics

Eisenberg, Bob

Molecules (Basel, Switzerland), 2022-11, Vol.27 (22), p.8017 [Periódico revisado por pares]

Switzerland: MDPI AG

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Título:
Setting Boundaries for Statistical Mechanics
Autor: Eisenberg, Bob
Assuntos: Batteries ; Book publishing ; Boundaries ; Boundary conditions ; Charged particles ; Decay ; Dielectric properties ; Differential equations ; Electricity ; Electrochemistry ; Electrostatics ; Elongated structure ; EnVarA ; Ideal gas ; Infinity ; Ions ; Light ; Liquids ; Magnetic fields ; Mathematical models ; Maxwell equations ; Partial differential equations ; Quantum physics ; Radiation ; Review ; Saline solutions ; Simulation ; Statistical mechanics ; Theory of relativity ; Transistors ; variational methods
É parte de: Molecules (Basel, Switzerland), 2022-11, Vol.27 (22), p.8017
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-3
content type line 23
ObjectType-Review-1
Descrição: Statistical mechanics has grown without bounds in space. Statistical mechanics of noninteracting point particles in an unbounded perfect gas is widely used to describe liquids like concentrated salt solutions of life and electrochemical technology, including batteries. Liquids are filled with interacting molecules. A perfect gas is a poor model of a liquid. Statistical mechanics without spatial bounds is impossible as well as imperfect, if molecules interact as charged particles, as nearly all atoms do. The behavior of charged particles is not defined until boundary structures and values are defined because charges are governed by Maxwell's partial differential equations. Partial differential equations require boundary structures and conditions. Boundary conditions cannot be defined uniquely 'at infinity' because the limiting process that defines 'infinity' includes such a wide variety of structures and behaviors, from elongated ellipses to circles, from light waves that never decay, to dipolar fields that decay steeply, to Coulomb fields that hardly decay at all. Boundaries and boundary conditions needed to describe matter are not prominent in classical statistical mechanics. Statistical mechanics of bounded systems is described in the EnVarA system of variational mechanics developed by Chun Liu, more than anyone else. EnVarA treatment does not yet include Maxwell equations.
Editor: Switzerland: MDPI AG
Idioma: Inglês

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Setting Boundaries for Statistical Mechanics

Eisenberg, Bob

Switzerland: MDPI AG

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