When Used Memory reaches Maximum player freezes

Every time I have played Minecraft (across several computers and on every Minecraft version since 1.6) and the Memory used reaches 11264 Mb on my laptop which is what I have allocated for Minecraft(or 1028 Mb on my desktop) my Minecraft player goes into suspended animation which means that if I am sprinting and My game reaches 100% Memory then all controls and visual freezes on my side but other players see me standing still with sprint particles which looks very much like a give away that can be seen in hackers. This is how I have been banned from a few servers never even knowing until on my own server (which I am the owner to) my colleague told me what it looked like from his side and asked me if I was hacking and then showed me using a screen sharing application. I went back to my server console and I had been flagged for hacking as well. I have never downloaded any hacking software of any kind yet I keep being banned. I was hoping for myself and my friend and who ever else has been having this problem that something can be done to fix this so 100% usage stops looking like a sprint hack.