Broadly speaking, mass transfer refers to a moviment of non-massless particles across a medium. In the context of Lithium-ion battery, such transfer refers to the migration/diffusion of metal Li ions in the bulk electrolyte and electrode surface/insertion electrode. The mass transfer process is inherently "coupled" to the batery perfomance as it affects the Li-metal deposition process, as well as the charging process efficiency.
The charge transport is essentially the process of solvated Li+ (ions) in the eletrolyte turning into Li in the eletrode by receiving an electron from the electrode. A detailed description of this process has been discussed by Bao, Yun (see paper attached).
Article Li-ion battery charge transfer stability studies with direct...
I thought that the charge transfer is only related to the movement of electrons in the current collector or the active material, and the mass transfer is related to the movement of lithium ions in the bulk electrolyte, or at the interface of electrolyte and electrode, or in the electrode structure. So is it wrong?
As for charge transfer, your thought is half of the story. So, charge transfer is not just about electrons in the current collector/active material - it also includes the electrochemical reactions involving lithium ions at the interfaces. In short, the interface processes drive both the internal charge flow and the movement of electrons from the current collector to the external circuit.