|A 2013 screenshot of a Twitter-based searchable real-time so-called “social heat map”, a type of social heat gauge, found at Boston.com, according to which the social networks that glow red with activity indicate venues having the greatest activity in the given time period. |
In his famous 1859 The Principles of Social Science, American social-economist Henry Carey used the Berthelot-Thomsen principle as a basis to formulate a theory of social heat.  In introducing the topic of social heat between reactive human molecules in society, according to a review by Austrian social economist Werner Stark, Carey states: 
“In the inorganic world, every act of combination is an act of motion. So it is in the social one. If it is true that there is but one system of laws for the government of all matter, then those which govern the movements of the various inorganic bodies should be the same with those by which is regulated the motion of society; and that such is the case can readily be shown.”
Then, in what seems to be a citation of Berthelot-Thomsen principle, that the ‘heat of a reaction was the true measure of affinity’, Carey states:
“To motion there must be heat, and the greater the latter, the more rapid will be the former.”
This means, according to the 1962 opinion of Stark that:
“In the physical universe, heat is engendered by friction. Consequently the case must be the same in the social world. The ‘particles’ must rub together here, as they do there. The rubbing of the human molecules, which produces warmth, light and forward movement, is the interchange of goods, services, and ideas.”
“In the material world, motion among atoms of matter is a consequence of physical heat. In the moral world, motion is a consequence of social heat—motion, consisting in an ‘exchange of relations’ resulting from the existence of those differences that develop social life. Motion is greatest in those communities in which agriculture, manufactures, and commerce are happily combined. That such is the fact will be obvious to all who see how rapid is the spread of ideas in those countries in which agriculture, manufactures, and commerce are combined, compared with that observed in those which are purely agricultural. In the one there is great heat and corresponding motion, and the more motion, the greater is the force. In the other there is little heat, but little motion, and very little force.”
Most of these quoted views of Carey still need to be tracked down, but they may be in his 1859 three volume The Principles of Social Science, in which he is said to have gathered the fruits of his lifelong labors.
In 1981, a Korean social thinker outlined the view that: 
“Second, major concepts of thermodynamics—temperature, heat, mass, pressure, entropy, free energy, and heat capacity—must have correspondingly defined social thermodynamics conceptions. These are social temperature, social heat, social mass, social pressure, etc. These latter concepts must carry their original (thermodynamic) meaning as well as reflecting the unique characteristics of social phenomena.”
This is a excellent overview quote of bulk view of human thermodynamics. The amount of intellectual involvement in how this is done, however, is immense. The attempt to develop or determine a 'social Avogadro number', is one example. On entropy, the same author comments that in physical systems entropy is the degree of randomness or energy distribution among the components of the system, and also the degree of deviation from regulatory possibilities or the disorderliness of the components in a social system.
In 1995, American anthropologist Paul Bohannan commented the following in regards to cultural heat: 
“Adapting thermodynamic ideas to the study of culture is limited by a very simple fact: nobody has yet figured out what might be the cultural equivalent of heat or energy … nobody has yet found the ‘heat’ or the ‘energy’ in cultural matters … the concepts of ‘cultural temperature’ (see: social temperature) to refine our understanding of ‘cultural heat’ have not yet appeared. This is one of the most pressing problems for the next generation of anthropologists, and the difficulties are profound.”(add discussion)
Tweeting | Social heat map
See main: Human thermodynamic instrumentThe following is 2013 summary of a Twitter-based searchable real-time so-called “social heat map” found at Boston.com: 
“The Social Heat Map builds a database of more than 250,000 venues, 500,000 restaurants and 1.4 million event listings. The social heat map then mines Twitter and other social media outlets for information about the venues, restaurants and listings and plots them on a map. A visualization layer is applied that shows the most active areas within the defined area. The venues that show the greatest activity in the social networks glow red with activity. You can search by keyword to see activity, click on an area for a sample of the tweets during that time period, filter by various categories, and click on a venue for event information. Social map is powered by Eviesays.”
Interesting new application.
1. Carey, Henry C. (1858-59).The Principles of Social Science (Vol I , Vol II, Vol III). J.B. Lippincott & Co.
2. Stark, Werner. (1962). The Fundamental Forms of Social Thought. (Carey, 143-59; human molecules, pgs. 87-90, 126, 146 (quote), 243, 25). Routledge.
3. Author. (1981). “Article”, (Korean) Social Science Journal, Vol 6-8 (thermodynamics, social phenomena, pg. 89; entropy, 8+ pgs.). Korean National Commission for Unesco.
4. Bohannan, Paul. (1995). How Culture Works (section: Transformation, pgs. 65-67; cultural temperature, pg. 66). Simon and Schuster.
5. Social Heat Map – Boston.com.