Scaling Functions for Anisotropic Lattices and Time-Reversal Asymmetry of Empirical Time Series

This is a two-year-term (2020.8~2022.7) research project entitled “Scaling functions for anisotropic lattices and time-reversal asymmetry of empirical time series”. The aim of this project is to develop a general theory of scaling function for anisotropic systems using lattice models, and to study physical mechanisms depicted by complex-systems empirical time series using time-reversal asymmetry. Specifically, this project plans to deal with the following problems: 1. Scaling functions for the dimer model on anisotropic lattices2. Time-reversal asymmetry revealed in the ion-pair dynamics of protein mechanoactivation3. Mechanical models corresponding to the properties of empirical financial time-sequence data and its critical behaviors using time-reversal asymmetryThis project will reach the following achievements:1. A general theory for the scaling functions of anisotropic lattice systems2. Practical approaches for identifying protein functional domains using nanomechanics of mechanoactivation3. Better understanding to the properties of financial data and its characteristic modes, and development of its mechanical correspondenceOur research results will provide useful references for fundamental researches of related fields. One PhD student and one Master student will involve in this project and join the study of the above-mentioned research problems. A number of research papers can be published in SCI Journals every year, based on the results of this project.