Third-placed Manchester City, Mourinho's title favourites, are six points behind but have three games in-hand, beginning with Tuesday's Manchester derby.
Nemanja Matic and David Luiz acted as ball-winning midfielders and the attacking quartet of Samuel Eto'o, Andre Schurrle, Eden Hazard and Oscar did the early damage as Chelsea, like Manchester City and Liverpool before them, tore the Gunners apart.
"We spoke about Arsenal being the kind of team that when they have possession of the ball and when they start building from the back they are very comfortable," Mourinho told Chelsea TV.
"They have a big culture of ball possession and we were trying to press them there, to recover the ball and to attack spaces.
"We know also that the full-backs, normally they are wide and up, leaving the two central defenders isolated.
"They are not the fastest guys on the pitch and we knew that by recovering the ball and attacking spaces we could score.
"The start was really, really strong
The message with the 2-0 was clear and after, penalty, red card and even worse for them."
Eto'o began the rout and Schurrle added a second after seven minutes, but the goals came after Petr Cech made a fine save from Olivier Giroud.
"The first 10 minutes of the match were magnificent," Mourinho said.
"We smashed them clearly and Petr started that momentum with that save."
Manchester City, Manchester United, Liverpool and Tottenham had all lost at Stamford Bridge prior to the Gunners' visit, but the manner of the loss in Arsene Wenger's 1,000th game in charge was embarrassing and humiliating.
Wenger is still to beat Mourinho in 11 attempts.
A third Chelsea goal came when referee Andre Marriner awarded a penalty for handball and sent off Kieran Gibbs, when Alex Oxlade-Chamberlain was the offender.
The case of mistaken identity, for which Marriner has apologised, was irrelevant in terms of the result, though, as Chelsea claimed a second win in three attempts against Arsenal this season.
Former Premier League referee Graham Poll suggested it was not a dismissal at all as Hazard's shot was going wide.
Mourinho, an advocate of television replays for fourth officials, disagreed.
The Portuguese said: "Do you have a new rule? Who knows that is going out?
"You know because you've seen it on television
But from my place I just saw the goalkeeper without a chance and somebody diving and saving, clearly.
"If this is not a red card (then what is?)"
The one blot on Chelsea's performance was a hamstring injury for Eto'o, who scored his 11th goal of the season, all of which have come at home.
The Cameroon striker withdrew fearing a more severe injury, but will likely miss next weekend's trip to relegation-threatened Crystal Palace.
"Hopefully it's not so big," said Mourinho, who praised the striker's goal.
"Hopefully it's not a one-month injury, it's 10 to 15 days."
Mourinho was happy with Eto'o's replacement, Fernando Torres, and with Luiz's display in midfield, a position the manager insisted earlier in the season the Brazil defender would not play.
"Fernando, without scoring a goal, had a very good performance with great movement for the team," Mourinho said.
"I like David in midfield
I like him a lot there."
Source : PA
Source: PA