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Second, we prove that when the coupling strength is less than some positive value, mono-cluster flocking does not occur in the TCSUS system with an integrable communication weight. Third, motivated from the study on coupling strengths where the mono-cluster flocking does not occur, we investigate appropriate sufficient frameworks to derive the multi-cluster flocking of the TCSUS system.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023066","type":"journal-article","created":{"date-parts":[[2023,7,13]],"date-time":"2023-07-13T05:14:41Z","timestamp":1689225281000},"page":"1493-1527","source":"Crossref","is-referenced-by-count":5,"title":["Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker\u2013Smale model with a unit-speed constraint"],"prefix":"10.3934","volume":"18","author":[{"given":"Hyunjin","family":"Ahn","sequence":"first","affiliation":[]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2023066-1","doi-asserted-by":"publisher","unstructured":"J. A. Acebron, L. L. Bonilla, C. J. P. P\u00e9rez Vicente, F. Ritort, R. 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