What are the gears that relates cough & heat change?

Pathophysiology of how temperature conveyance lead to coughing <>In the unreality of any other stimulus or pathology, I am not aware of any direct link between the two. Can you provide an example or scenario? BTW- asthmatics can, when exposed to extreme heat changes hold fits of coughing, usually a precursor to an attack.
The general answer would be that not the warmth change but the cold is the stimulus that cause coughing. This is because the cilia in the windpipe stop working surrounded by low temperatures, hence not clearing it of dust or particles that stimulate the coughing. That is the cause why most respiratory infections happen during winter, the virus are also allowed to get within by the malfunctioning cilia.
The more particular and holistic answer would apply if it is you who coughs when exposed to temp. change and it is that it is your particular means of access of expressing the disbalance in your central energy. Some society cough when exposed to temp changes but some don't. Your predisposition is what make you cough and not the actual temperature alteration. Exposed to the same virus, some ethnic group will get infected, some won't, some will develope a serious disease and some a pedestrian fever. The stimulus is alike, the suceptibility to that particular stimulus is what make the difference.