Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study coagulation–fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although the equations lack detailed balance and admit no H-theorem,  are able to develop a rather complete description of equilibrium profiles and large-time behavior, based on recent developments in complex function theory for Bernstein and Pick functions. In the large-population continuum limit, a scaling-invariant regime is reached in which all equilibria are determined by a single scaling profile. This universal profile exhibits por-law behavior crossing over from exponent \(-\frac{2}{3}\) for small size to \(-\frac{3}{2}\) for large size, with an exponential cutoff.
['Pierre Degond', 'Jian-Guo Liu', 'Robert L. Pego']
I am writing a research paper on a idea Coagulation–Fragmentation Model for Animal Group-Size Statistics
[{"from": "human", "value": "I am writing a research paper on a idea Coagulation\u2013Fragmentation Model for Animal Group-Size Statistics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study coagulation\u2013fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although the equations lack detailed balance and admit no H-theorem,  are able to develop a rather complete description of equilibrium profiles and large-time behavior, based on recent developments in complex function theory for Bernstein and Pick functions. In the large-population continuum limit, a scaling-invariant regime is reached in which all equilibria are determined by a single scaling profile. This universal profile exhibits por-law behavior crossing over from exponent \\(-\\frac{2}{3}\\) for small size to \\(-\\frac{3}{2}\\) for large size, with an exponential cutoff."}]