| Abstract: |
| We present particle-based models for cell cycle evolution that possess asymmetrical forcing and for collections of water molecules that interact through a dipole moment (Stockmayer model). We show that both systems have some degree of mean-field limit. In the cell cycle model, we examine the temporal evolution of measures of correlation starting from weakly correlated initial data and compare particle evolution to solutions of the corresponding Vlasov system. In the Stockmayer model we examine the scaling of dipole length with particle number N that yields a mean-field scaling, and show that the dipolar properties of water uncouple from the fluid properties in the mean field. |
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