Introduction

Abstract

In this document, we present the Special Issue's projects; these include reviews and articles about mathematical solutions and formulations of single-file dynamics (SFD), yet also its computational modeling, experimental evidence, and value in explaining real life occurrences. In particular, we introduce projects focusing on electron dynamics on liquid helium in channels with changing width, on the zig-zag configuration in files with longitudinal movement, on expanding files, on both heterogeneous and slow files, on files with external forces, and on the importance of the interaction potential shape on the particle dynamics along the file. Applications of SFD are of intrinsic value in life sciences, biophysics, physics, and materials science, since they can explain a large diversity of many-body systems, e.g., biological channels, biological motors, membranes, crowding, electron motion in proteins, etc. These systems are explained in all the projects that participate in this topical issue. This Special Issue can therefore intrigue, inspire and advance scientifically young people, yet also those scientists that actively work in this field.