Roberto Pratolongo

TL;DR: In this paper, the influence of barrier crossing processes on the positional time correlation function is studied. But the memory function of this correlation function was evaluated for a 2-4 potential as a function of the barrier height using the Mori continued fraction expansion and an equivalent but more efficient matrix formulation.

TL;DR: In this paper, a mode-coupling expansion of the base set of the generalized diffusion equation with hydrodynamic interaction is used to derive the dynamics of polymers in solution, and an optimum approximation is generated by adding to the ORZ basis set, linear in the chosen slow variables.

TL;DR: In this paper, the memory function is evaluated as a function of the barrier height using both the Mori continued fraction expansion and a related but more efficient matrix expansion method, and an exact integral relation for the correlation time is derived and compared with the approximations.

TL;DR: In this article, a multiexponential approximation for the torsional time correlation function of a one-dimensional system with many barriers is derived, which couples a jump model, governed by a Master equation describing transitions between wells, to a model of diffusional fluctuations within individual wells.

TL;DR: A mode-coupling approach has been used to solve the Smoluchowski diffusion equation describing the correlation functions relevant in nuclear magnetic relaxation experiments on biological molecules like protein and DNA as mentioned in this paper.