Alkenes, in the presence of concentrated sulfuric acid, condense to form chains called polymers. Let's see an example with 2-Methylpropene

 
polymerization of alkenes
 
Step 1. Protonation of the double bond to form the tert-butyl cation
 
polymerization of alkenes
 
Stage 2. Nucleophilic attack of the alkene to the formed carbocation.
 
polymerization of alkenes
 
Stage 3. The cation formed in the previous stage is again attacked by another alkene molecule, forming the polymer.
 
polymerization of alkenes
 
Because this type of polymerization occurs with the formation of carbocations, it is called cationic polymerization.
 
Ethene cannot polymerize via carbocation (it forms unstable carbocations), but polyethylene can be obtained by heating ethylene at high pressures and in the presence of peroxides. In this case the polymerization follows a radical mechanism and is called "free radical" polymerization .
 
polymerization of alkenes