Thermal equilibrium versus pressures

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A closed system in thermal equilibrium can exhibit two regions with different pressures, even if they had the same pressure previously. This phenomenon is supported by atomic theory and thermodynamics, as pressure results from the average force exerted by atoms. Random fluctuations in atomic motion can lead to temporary differences in pressure between regions. However, in larger systems, these deviations from the average pressure become negligible and are nearly unmeasurable on a human scale. The discussion clarifies that the system's prior state of uniform pressure is not a requirement for the existence of pressure differences.
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Is it possible for a closed system in thermal equilibrium possesses two regions with different pressures supposing such regions had the same pressure in the past?
 
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It's required by atomic theory and thermodynamics. "Pressure" is just the average force per unit area from the bombardment of vast numbers of atoms; thus, random fluctuations are inevitable. Two regions of equal pressure at one instant can hardly avoid having different pressures at the next instant, due to atomic motion. The larger the system, however, the smaller the deviations from the average value. On the human scale, these deviations are essentially unmeasurable.
 
Does the question require that the system was in thermal equilibrium when it consisted of a single region of uniform pressure?
 
No, it is supposed they had different temperatures in the past.
 
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