@article{Coarse-Graining:1988,
      recid = {1988},
      author = {Han, Yining},
      title = {Bottom-Up Coarse-Graining Bridging Various Scales: From  Quantum Statistics to Mesoscale},
      publisher = {University of Chicago},
      school = {Ph.D.},
      address = {2019-08},
      pages = {246},
      abstract = {This thesis describes a series of theoretical and  computational development of bottom-up coarse-graining  methods that can serve as bridges between physical models  at different spatial and temporal scales. At a high  resolution description, a coarse-graining theory in quantum  statistics is established and shown to reproduce essential  nuclear quantum effects at coarse-grained level. At a  coarser molecular scale, a coarse-graining strategy  involving virtual sites is developed to capture symmetrical  features of underlying fine-grained structure and serve as  an economic representation of many-body interactions. At  mesoscale, a rigorous coarse-grained mapping between  fine-grained fluids and mesoscopic models is designed and  verified. The associated bottom-up coarse-graining  parameterization strategy is developed to derive  coarse-grained equations of motions that can be compatible  with mesoscopic theories such as fluid mechanics and  classical density functional theory. Finally, a field  theoretic description mesoscopic models is derived with the  help of hierarchical coarse-graining.},
      url = {http://knowledge.uchicago.edu/record/1988},
      doi = {https://doi.org/10.6082/uchicago.1988},
}