What is entropy? - Jeff Phillips

What is entropy? - Jeff Phillips

3 min read

โ€ข

15 days ago

Discovering the Secrets of Entropy

Iโ€™ve always been fascinated by why certain processes in the world only go one way, like ice melting or cream swirling into coffee. In this story, Iโ€™ll share how entropy, a key concept in chemistry and physics, explains these phenomena and reveals the hidden probabilities shaping our reality.

TL;DR

  • I introduce entropy as a measure of energy dispersal, explaining why physical processes favor one direction over another.

  • Using simple solids with energy units, I explore how probability makes some energy distributions far more likely than others.

  • Energy naturally spreads out, as seen in examples like hot and cold materials evening out, due to higher entropy states.

  • In larger systems, this spreading becomes almost inevitable, making phenomena like melting ice a one-way event in everyday life.

  • Ultimately, entropy acts as timeโ€™s arrow, hinting at why the universe tends toward more dispersed energy configurations.

As I delve into entropy, I realize itโ€™s more than just chaosโ€”itโ€™s a measure of how energy scatters in the universe. For instance, I often think about why snow melts into water but water doesnโ€™t freeze back spontaneously; itโ€™s because entropy drives energy to spread out, making certain outcomes overwhelmingly probable.

Let me describe two small solid materials, each made of six atomic bonds, to illustrate this. In my explanation, energy is stored in these bonds like indivisible units called quanta, and the way these quanta are distributed affects the materialโ€™s temperature and entropy.

Exploring why processes like melting ice occur in one direction
Exploring why processes like melting ice occur in one direction

Imagine one solid with six quanta of energy and another with two; there are thousands of waysโ€”specifically, 9,702 microstatesโ€”to arrange this energy while keeping the total constant. This vast number of possibilities means energy is more likely to spread evenly rather than stay concentrated, which is why I see entropy as a direct indicator of energyโ€™s diffusion.


Low entropy means energy is clustered, like in a hot object, while high entropy signifies itโ€™s dispersed, as in a cooled system. Iโ€™ve learned that energy constantly moves between adjacent bonds, and due to the probabilities involved, itโ€™s far more likely for the system to end up in a spread-out stateโ€”about 21% chance for maximum dispersal versus just 13% to return to the start.

This is why, in practice, a hot material next to a cold one will always cool down and warm up the other until they reach equilibrium. If I scale this up to real-world sizes, like thousands of bonds, the odds of energy reversing become astronomically small, almost impossible.

Illustrating how energy spreads between materials
Illustrating how energy spreads between materials

Through this, I understand that thereโ€™s no mysterious force pushing toward high entropyโ€”itโ€™s simply statistics at play. Everyday events like air leaking from a punctured tire or cream mixing into coffee happen because those states have more ways to occur, making them the default path.

Itโ€™s intriguing how entropy serves as the arrow of time, ensuring that once energy spreads, it doesnโ€™t easily reverse. In my view, this concept ties together the one-way nature of physical processes we observe daily.

Highlighting the role of entropy in everyday phenomena
Highlighting the role of entropy in everyday phenomena

Reflecting on entropy, I see it as a fundamental guide to how energy flows in our world, reminding us that natural processes favor balance and dispersal for a reason.

Key Takeaways

  • Entropy measures energy dispersal, explaining why processes like melting ice are one-directional.

  • Probability and microstates show that energy spreads due to more possible arrangements in dispersed states.

  • In larger systems, high entropy outcomes become nearly inevitable, driving real-world phenomena.

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