Current Fluctuations in Nanopores Reveal the Polymer-Wall Adsorption Potential

Surface enrichment and interdiffusion in blends of semiflexible polymers of different stiffness

“…1b) is compatible with our conclusion (see the discussion of Fig. 6) that the relevant correlation length x > (eqn (8)) is of the order of the radius of effective monomers only.…”

“…6c shows that x > is only of the order of 1-2 length units, and hence indeed much smaller than the corresponding lengths in the isotropic phase. Note that in eqn (8) we have neglected the contribution due to the Flory-Huggins parameter [51][52][53] which would matter close to the nematic-nematic critical point of unmixing, which is not relevant here.…”

“…refs. 7 and 8). Often it is relevant not to consider a single type of polymer interacting with a surface only, but one wishes to study solutions containing chemically different polymers as well as polymer blends.…”

Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory

“…(This is one point where the general initial condition enters, and the computation differs from [1].) Hence we have derived the equations for the instanton, corresponding to (20)(21)(22) of the main text. As described in the main text, this allows the initial condition of the least-action path to be identified, corresponding to an imbalance of density to the left and right of the tracer.…”

“…where n( ) is the number of particles that are initially found within a distance of the origin. Notably, (1,2) link two quantities that are experimentally accessible (e.g., via microscopy) without knowing the interaction details [20][21][22]. If the initial condition is a thermal equilibrium state, α ic is proportional to the compressibility [23,24].…”