Goychuk Lab

@misc{goychuk_gaussian_2026,

title = {Gaussian closure and dynamical mean-field theory for self-avoiding heteropolymers},

author = {Andriy Goychuk},

url = {https://arxiv.org/abs/2604.02085},

doi = {10.48550/ARXIV.2604.02085},

year  = {2026},

date = {2026-01-01},

urldate = {2026-05-29},

publisher = {arXiv},

abstract = {Analytical treatments of polymer dynamics have mostly been restricted to linear response theory around some steady state obtained via perturbative field theory. Here, I derive an analytical framework that yields unified access to the evolution of conformations, contact probabilities, and fluctuations within a dynamical mean-field theory. Starting with the Langevin equation of a hydrodynamically coupled and self-avoiding heteropolymer, the key idea is to focus on the two-point correlator as the lowest-order relevant observable. Truncating higher-order correlations via a Gaussian closure leads to a self-consistent diffusion equation for the chain correlations. The theory is validated by contrasting coiled, globular, and self-avoiding polymers within a single dynamical framework, and predicts hyper-compacted fractal states in hydrodynamically coupled active polymers such as chromatin.},

note = {Version Number: 1},

keywords = {Mean Field Theory, Polymers, Soft Condensed Matter},

pubstate = {published},

tppubtype = {misc}

}