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Mental Models

Entropy: The Inevitable Increase of Disorder

The second law concerns the nondecrease of total entropy in an isolated system. The many possible arrangements of a mixed state help explain why mixing is more likely than spontaneous sorting. Maintaining local order may require work and exchanges with the surroundings.

THE IDEA

We Don't Like Disorder

Everyday examples of sorting and mixing offer an analogy for entropy. They help illustrate why a mixed arrangement can be more likely than a neatly separated one, although household disorder is not itself a precise measure of thermodynamic entropy.

Murray Gell-Mann, a Nobel prize winning physicist, clarifies entropy in contexts such as organizing a pile of coins or the mixing of jelly and peanut butter in their containers. Why is it that if someone knocks the table the coins will get mixed up, or that despite their best efforts your children inevitably get jelly into the peanut butter jar and vice versa? “The explanation is that there are more ways for [coins] to be mixed up than sorted. There are more ways for peanut butter and jelly to contaminate each other’s containers than to remain completely pure. To the extent that chance is operating, it is likely that a closed system that has some order will move toward disorder, which offers so many more possibilities.”15

When to use it

  • Organizing a workspace: Without regular cleaning, desks naturally become cluttered because there are many more disordered arrangements.

  • Data management: Files and folders tend to become disorganized over time as more files are added, requiring periodic archiving and structuring.

  • Process management: using disorder as an analogy when examining how exceptions and shortcuts accumulate without review.

  • Personal habits: Maintaining a healthy routine requires continuous effort; without it, habits tend to slip back into less structured patterns.

FROM THEORY TO EVERYDAY LIFE

In practice

01

Mixed Coins

Knocking a table can disturb coins that were sorted by type. Many mixed arrangements are possible, while relatively few preserve the sorting. This is an analogy for the role of possible configurations.

02

Peanut Butter and Jelly Contamination

Using the same utensil in both jars can mix peanut butter and jelly. The example illustrates how many mixed configurations are possible; it does not mean entropy moves the spreads between separate jars without contact.

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A MOMENT TO REFLECT

Put it to work.

  1. How does the concept of entropy apply to your daily life? Where do you see disorder naturally increasing unless you intervene?

  2. What areas of your work or personal life require constant energy to maintain order, and what would happen if you stopped applying that energy?

  3. Can you think of a situation where embracing disorder might actually be beneficial?

CONTINUE THE CONVERSATION

Source texts

  • The Great Mental Models Volume 2 Physics, Chemistry and Biology
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