In your original post you wrote
In this diagram, the larger line represents the +ive side and the smaller line represents the -ive side. Therefore electrons SHOULD flow from the smaller line to the larger one. In electrolysis, this is not the case. Electrons flow from the +ive anode to the -ive cathode. Why is this? Please can someone explain.
then after a few posts and suggestions you wrote
Have you read of this:
http://www.docbrown.info/page01/ExIndChem/ExtraElectrochem.htm
I did read this site before publishing my question. I find that this site does not actually address my question, even though it says that it will.
To make my answer more simple:
Surplus electrons at the anode make it relatively -ive to the cathode. Electrons are pulled towards the cathode making it negative. Cations are attracted and immediately pick up the electrons, therefore, the cathode becomes -ive again.
The process happens so quickly that the change in charges are, to the human 'eye', un-noticable
I refer you again back to the Doc Brown link
In section 2b there is the following text, that describes the process you are interested in, except more clearly
(-) negative cathode electrode where reduction of the attracted positive cations is by electron gain to form metal atoms or hydrogen [from Mn+ or H+, n = numerical positive charge]. The electrons come from the positive anode (see below).
(+) positive anode electrode where the oxidation of the atom or anion is by electron loss. Non-metallic negative anions are attracted and may be oxidised to the free element. Metal atoms of a metal electrode can also be oxidised to form positive metal ions which pass into the liquid electrolyte. The released electrons move round in the external part of the circuit to produce the negative charge on the cathode electrode.
There is no "surplus" of electrons
The cathode does not "become negative again"
The cathode is always ready to supply electrons
to the ions in the electrolyte. It does this by discharging positive cations or creating negative anions
The anode is always ready to remove electrons
from the ions in the electrolyte. It does this by discharging negative anions or creating positive cations.
I strongly suggest you
draw a picture of the changes that are happening to
ions at the surface of the electrode when you are electrolysing various ionic solutions and work out where the electrons are moving.