How soon after an abusive relationship ends does the abuser seek another relationship?

Almost immediately. Many abusers are narcissists and crave narcissistic supply.

Very quickly! Sometimes before he ends his relationship with you. This way, he can toss you aside and his new source of narcissistic supply is ready and waiting.

The "N" in my life had several relationships going at the same time, including the "special" one w/ me. This was revealed only after I finally removed myself permanently from the abusive situation. This way the "N" could ensure his constant supply, making sure he wouldn't be without at any given time should the "other players" unknowingly involved in his game choose to opt-out.

Immediately - If Not Sooner!!! I begged my abuser to find someone else - knowing that historically he never left one without having another one ready. He started looking for his next VICTIM before I broke up with him. I left him over 3 months ago and I can tell that he is floundering and desperate for supply. He is still trying to control, abuse and intimidate me from afar. He's a monster!!!

Don't be surprised when you find out he didn't 'wait' at all. My experience is that the abuser has plenty of fish on the hook.

My abusive ex was in another relationship within weeks of our formal separation and I was shocked when I found out. He made it sound like he had been with her for years and all of a sudden I didn't count for anything. He changed his phone number and put a restraint order on me filled with lies. His intentions were to discredit my reputation in his retalition from my rejection. Everything in the restraint order about me were dirty lies and in reality he was doing those things to me. I didn't follow the advice of my family and friends when they suggested that i file a stay away order on him because he might do something bad to me. Whats more he lied to the police and told them i was 100 feet away from him, and i was lucky that i was able to convince the police that i was innocent and that he was a liar. Otherwise i would have went to jail for 3 months. He had been calling my mother for months and finally after 8 months we spoke on the phone. He left me about a dozen messages, crying and pleading with I love you and want you back so bad. After all those messages he called the next day and and said he didn't love me but that he loved the other lady and did I want to hear them making love. He literally changed his mind over night about me. I could never do that to anybody the way he did me.i just couldn't believe he could be so cruel after all those years of love and loyalty i gave to him.

Some abuser take years to get over a relationship depends how the perosn values himself

Depends on the person. Some cant let go and are obcessed. Some move on quickly. If he or she see there is some potential left to control you, they will come back. Once they see that you are not going to be controlled they will move on. They love a challange, but not too much, they want a person that resists their control but in the end will eventually allow them the control. If the victim refuses all control and contact they will move on. But actually my ex husabnd will still harass me and its been two years...since i kicked his sorry..$%%$ out....he said he has a girlfriend...he may be bored with her and or he had an easier time controlling me so hes living in the past of when he had me under his thumb. Some of these types do expereince regret of losing someone but usually its related to the fact that they are having a harder time finding a more passive victim.

From my experience, very soon. In fact, he took up a relationship with a girl he had cheated on me with a few days after I left. It was mostly to try to get a rise out of me, so I ignored it. He was abusing her when she was a friend while we were dating, so it wasn't at all a surprise. He won her pity by playing the victim. Typical.

The narcissist i was with probably never ended anything. She kept it going with others in various ways and had a stash of douchebags ready to go if the need arouse. id say the moment your narcissist thought it was time to dump you or sooner.