A research-grounded curriculum for understanding why condensates form and how experiments turn an observation into a defensible claim.
THEORY · 8 CHAPTERS
A physical language for condensates
Start with coexistence, then add molecular grammar, network connectivity, multicomponent composition and active cellular control.
ONE CONTINUOUS PATH
Build the field in four connected steps—not as isolated facts.
CHAPTER 01
Coexistence thermodynamics
Why one solution becomes two phases
CORE QUESTIONWhat must be true for a dilute phase and a dense phase to coexist at equilibrium?
01 · CONCEPT
Phase separation lowers the total free energy when mixing entropy can no longer compensate for favorable self-association or an unfavorable solvent. Coexisting phases have equal chemical potentials and equal osmotic pressure. The binodal marks coexistence; the spinodal marks the limit of local stability. They are not interchangeable.
A minimal Flory–Huggins free-energy density. φ is polymer volume fraction, N chain length and χ an effective interaction parameter.
02 · WHAT THE CLASSIC WORK ESTABLISHED
Polymer solution theory supplied the first compact language for chain length, solvent quality and criticality. Modern condensate experiments inherit its central observables: saturation concentration, dense-phase concentration, tie lines and critical points.
HOW TO READ THE RESULT
Below csat: one homogeneous phase.
Inside the binodal: dilute and dense phases coexist; changing total concentration mainly changes their relative volumes.
Inside the spinodal: infinitesimal composition fluctuations grow without a nucleation barrier.
Use the original evidence. Keep the boundary of every claim visible.
FiguresOnly figures with a clear reuse license are hosted here. Every figure retains article, figure number, DOI and license. Restricted figures are linked, not copied.
LiteratureFoundational primary papers establish the historical result; later methods and theory papers explain what can and cannot be inferred from it.
CorrectionsThe curriculum is versioned. Ambiguous statements, missing controls and better explanations can be proposed and traced like data corrections.