2008College PhysicsRequires access

The fluctuation criterion for thermal equilibrium state

Quanhui Liu

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Abstract

Every thermodynamic quantity in the thermal equilibrium state can never bear large fluctuation. Specially, a criterion is proposed for the existence of the thermal equilibrium state in order to obey the requirement that both energy and entropy fluctuations must be small. Examples show that the number of particles 1023 may be not large enough to guarantee the thermal equilibrium state for some systems at low temperature.

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What this paper is about

Every thermodynamic quantity in the thermal equilibrium state can never bear large fluctuation. Specially, a criterion is proposed for the existence of the thermal equilibrium state in order to obey the requirement that both energy and entropy fluctuations must be small. Examples show that the number of particles 1023 may be not large enough to guarantee the thermal equilibrium state for some systems at low temperature.

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Available abstract

Every thermodynamic quantity in the thermal equilibrium state can never bear large fluctuation. Specially, a criterion is proposed for the existence of the thermal equilibrium state in order to obey the requirement that both energy and entropy fluctuations must be small. Examples show that the number of particles 1023 may be not large enough to guarantee the thermal equilibrium state for some systems at low temperature.

Key concepts: Physics, Thermal equilibrium, Thermodynamic equilibrium, Thermal, Entropy (arrow of time), Thermal state, Statistical physics, State (computer science)

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