Hot: At my previous work, two colleagues found themselves a number of times shouting at each other in the office corridors in front of everybody else. The conflict was always related to disagreements on the work subject. Seemingly, one of the parties was rather passionate in defending his position and views, and tended to raise his voice and become rather aggressive, without realising. The nature of the conflict was rather a mutual dislike or personality clash, probably emerging from unrecognised insecurity from one of the parties. 
Cold: A colleague and I were entrusted to re-establish a sustainability organisation in Europe. The Chair of the Board of the organisation established some criteria, which we met. We then asked for access to the intellectual property of the brand. The Chair of the Board asked us to meet some additional criteria. Which we again met. We then were told that we needed to sign an agreement that had been signed many years back by network organisations, but the agreement was not updated. Updating it would take long time, so then we were asked to sign an MoU, which was then drafted but they found problems with it. This process has been dragged for a long time and every time the required criteria is met, the Chair of the Board finds other criteria to be met, and then other problems that simply extend the process eternally. This has naturally created significant confrontation, but from the side of the Board always presenting the need of new criteria as if this was a logical and sensible process. I think that the nature of the conflict is more related to fear (that we will misuse the representation of the organisation) and, possibly, mistrust.
Mix: I know a couple that is undergoing a dramatic divorce. The process in court for the tenancy of the children is rather cold, but all indirect interactions between the couple, through their children, school, etc. is rather dramatic. I am not sure about the origins of the conflict, but there are issues related to significantly different set of values, and there are clear issues about the need of feeling in power from one of the parties (probably due to some feeling of insecurity or inferiority).