4 papers
Violation of the method of images in non-Markovian processes and its connection to stochastic thermodynamics
Takuya Saito, Yuta Sakamoto, Takahiro Sakaue
We discuss a failure of the wide-spread method of images solution to describe the time evolution of probability distribution in diffusive processes with memory. For a path that tou…
Note on two-point mean square displacement
Naoya Katayama, Takahiro Sakaue
When probe molecules of interest are embedded in a container or aggregate under stochastic motion, one needs to rely on the so-called two-point mean square displacement (MSD) measu…
Phase separation in soft repulsive polymer mixtures: foundation and implication for chromatin organization
Naoki Iso, Yuki Norizoe, Takahiro Sakaue
Given the wide range of length scales, the analysis of polymer systems often requires coarse-graining, for which various levels of description may be possible depending on the phen…
Method of Filtration in first passage time problems
Yuta Sakamoto, Takahiro Sakaue
Statistics of stochastic processes are crucially influenced by the boundary conditions. In one spatial dimension, for example, the first passage time distribution in semi-infinite…