All Writings

From John Wheeler's tea puzzle and Jacob Bekenstein's horizon area conjecture to Stephen Hawking's 1974 quantum radiation, the Bekenstein-Hawking entropy S_BH =...

How Christopher Jarzynski turned the Second Law inequality into an exact equality = e^{-βΔF}, Gavin Crooks established the work distribution intersection theorem,...

How far-from-equilibrium instabilities shatter linear stationary branches: the Glansdorff-Prigogine stability criterion, entropy export in open systems, Rayleigh-Bénard convection, and Belousov-Zhabotinsky spiral waves.

Extending thermodynamics to irreversible flows: thermodynamic forces and fluxes, local entropy production rate, thermoelectric Seebeck and Peltier cross-coupling, and Onsager's 1931 Reciprocal...

Resolving the 115-year-old paradox of Maxwell's demon: Szilard's single-molecule engine, Landauer's thermodynamic erasure cost of k_B T ln 2, and Charles Bennett's...

From Robert Brown's pollen to Einstein's 1905 diffusion derivation, Jean Perrin's experimental proof of atoms, Langevin stochastic dynamics, and the Fluctuation-Dissipation Theorem...

How Leo Kadanoff's block-spin coarse graining and Kenneth Wilson's Renormalization Group solved the crisis of critical fluctuations, classifying relevant vs irrelevant operators...

From Ising's 1D disappointment and Peierls' domain boundary argument to Kramers-Wannier duality and Lars Onsager's historic 1944 exact solution featuring logarithmic heat...

From Ehrenfest's classification and order parameters to spontaneous symmetry breaking in double-well potentials, universal mean-field critical exponents, and the Ginzburg criterion.

How anti-symmetric wavefunctions and the Pauli exclusion principle govern half-integer fermions, deriving the Fermi-Dirac step distribution, the Fermi sea, Sommerfeld linear heat...