Entropy Gradient Forcing in a Non-Isolated System


In the previous example, the entropy gradient force drove the system to maximum entropy because it was unopposed in that isolated (no particle exchange with surroundings) system. Consider now a system that is open, with A particles per unit time introduced to the left-hand side and extracted from the right-hand side:Dysfonction érectile, the entropy gradient force drove the system to maximum entropy because it was unopposed in that isolated (no particle exchange with surroundings) system. Consider now a system that is


In this case, the randomization tendency generates entropy and disorder while the source/sink removes entropy and disorder. For this particular A, balance is achieved when <n1>=75.

This example illustrates how a system's randomizing internal dynamics can act as a "force", even when the ideal conditions that enable maximum entropy to be achieved are absent.

In much the same way, nonlinear interactions in a turbulent fluid drive the system toward higher entropy, even though forcing and dissipation may act oppositely. This property can be invoked in parameterizing effects of subgrid-scale turbulence in numerical models, and in forecasting statistically the evolution of chaotic flows.

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This page reflects contribution from Bill Merryfield.