How are compartments formed?
Equilibrium (passive)? Motivated by energy landscape models of protein folding,

B Zhang et AL. (2015) PNAS. 112, 427,M Di Pietro et AL. (2016) PNAS. 113, 12168,J Monarchic et AL. (1997) Anny. Rev. Phys. Chem. 48, 545
a prevailing hypothesis is chromatin configurations are due to biochemical affinities between distinct chromatin types:

M Falk et AL. (2019) Nature. 570, 395-3.99
More complex interactions can reproduce observed contact maps:
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G. Le Trent, F. Képès, & H. Orland, BioPhysics 115, 2286 (2018)
But the genome is intrinsically out of equilibrium, dependent on ATP for function and activity:
... 
Chromosomal loci diffuse slower in ATP-depleted cells:
Weber et.al (2012) PNAS 109 (19), 7338-7343 
Correlated chromatim motion across different length and time scales:

Zidovska, Weitz, Mitchison (2013) PNAS 110 (39) 15555-15560
How do sequence-dependent active processes affect chromatin folding?