Grmela Miroslav, Klika Václav, Pavelka Michal
École Polytechnique de Montréal, C.P. 6079 succ. Centre-ville, Montréal, H3C 3A7 Québec, Canada.
Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, Prague 2, 120 00, Czech Republic and New Technologies-Research Centre, University of West Bohemia, Univerzitní 8, 306 14 Pilsen, Czech Republic.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032111. doi: 10.1103/PhysRevE.92.032111. Epub 2015 Sep 8.
Reduction of a mesoscopic level to a level with fewer details is made by the time evolution during which the entropy increases. An extension of a mesoscopic level is a construction of a level with more details. In particular, we discuss extensions in which extra state variables are found in the vector fields appearing on the level that we want to extend. Reductions, extensions, and compatibility relations among them are formulated first in an abstract setting and then illustrated in specific mesoscopic theories.
通过熵增加的时间演化，将介观层次简化为细节更少的层次。介观层次的扩展是构建一个具有更多细节的层次。特别地，我们讨论了这样的扩展，即在我们想要扩展的层次上出现的向量场中发现额外的状态变量。首先在抽象框架中阐述简化、扩展及其之间的兼容性关系，然后在具体的介观理论中进行说明。
