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An non-reversible process is a process in a system that changes from a state to another one losing energy. This energy cannot be recovered if the process is inverted. The magnitude used in order to measure irreversibility is entropy. Entropy can be considered as a kind of energy that cannot provide work.
In nature, all processes are non-reversible but some of them can be more entropic than other ones. The existence of entropy implies that we cannot go back in time to a previous state. The entropy of universe is always been increased but there is not a reason in order that the entropy of a system cannot be reduced. This fact is possible but we will need to employ a lot of additional energy to do that increasing much more the entropy of the environment.
Economy can be seen as a thermodynamic system, a thermodynamic system is defined by a set of state variables that follows a certain rules and principles. A system is defined but a certain number of state variables, but other additional variables can be obtained from the state variables. The minimum number of the variables that define the state of the system is the dimension of the state space.
Economists use a set of variables to characterize the state of an economy, for instance: savings, investment, employment, debt, GDP.
Entropy usually is not a magnitude used by economists, but it can be calculated as a macroeconomic value from a detailed microeconomic analysis, or from other state variables. Entropy would be proportional to the logarithm of the number of possible microstates. seen
Entropy is well understood as an energetic magnitude but in simpler words it is related to the degree of disorder in a system. In the statistic approach, it is related to uncertainty. Economy as any other process in nature tends to increase entropy in a natural way. That is because there are much more disordered states than ordered ones.
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