Entropy of isolated systems never decreases
Entropy of isolated systems never decreases
The second law of thermodynamics establishes entropy as a physical property of a thermodynamic system. It predicts whether processes are forbidden despite obeying the first law of thermodynamics and provides criteria for spontaneous processes. For instance, while the first law allows a cup to fall and break, the second law denies the reverse process of fragments spontaneously reassembling.
Example
Consider a cup falling off a table and breaking. The first law of thermodynamics allows this process. However, the second law of thermodynamics states that the entropy of the isolated system (the cup and the table) never decreases, meaning the fragments cannot spontaneously come back together and jump onto the table.
Understanding this principle is crucial for predicting the direction of natural processes and understanding the limitations of energy conversion systems.
Demon (thought experiment)
Maxwell's demon challenges the Second Law of Thermodynamics by suggesting information can decrease entropy
Equipartition theorem
Equipartition theorem: Each degree of freedom contributes ½kT of energy at thermal equilibrium
Boltzmann's entropy formula
Boltzmann's entropy formula: S = k ln Ω
universality means in phase transitions
Universality in phase transitions implies identical critical exponents across diverse systems
Symmetry (physics)
Symmetry leads to energy conservation
Noether's theorem
Noether's theorem links continuous symmetries to conservation laws
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