Physicist and mathematician — Rudolf Clausius (Köslin, 1822 – Bonn, 1888) was a German physicist and mathematician, among the founders of modern thermodynamics. He studied in Berlin and taught at several universities, including Zurich, Würzburg and Bonn. In 1850 he reformulated the second law of thermodynamics, and in 1865 he introduced the concept of entropy, coining the name from the Greek for “transformation”, establishing that in an isolated system it can only increase. He also contributed to the kinetic theory of gases, introducing the notion of the mean free path of molecules. His work laid the conceptual foundations for understanding the irreversibility of natural processes and the arrow of time.

Theories and contributions

  • Second law (Clausius statement) — Heat cannot pass spontaneously from a colder body to a hotter one without external intervention.
  • Entropy — Change in entropy for a reversible process: dS=δQrevTdS=\dfrac{\delta Q_{rev}}{T}; in an isolated system ΔS0\Delta S\ge 0.
  • Kinetic theory of gases — Introduced the concept of the mean free path of molecules into the kinetic model.

Linked atoms

6 linked atoms.

09 Teoria cinetica dei gas

11 Entropia

12 Cicli e macchine termiche