Methods of computational physics for the study of complex systems The project is aimed at the development and application of mathematical and computational methods for modelling complex physical systems studied within the JINR Topical Plan and described by systems of dynamic nonlinear, spatially multidimensional integral, integro-differential or differential equations that depend on the parameters of models. The evolution of solutions to such systems can be characterized by the occurrence of critical modes, bifurcations and phase transitions. Mathematical modelling is an inseparable part of modern scientific research. It entails an ade quate mathematical formulation of problems within the models under study, the adaptation of known numerical approaches or elaboration of new ones to effectively take into account the features of the studied physical processes, the development of algorithms and software packages for high-performance simulation on modern computer systems, including the resources of the JINR Multifunctional Information and Computing Complex. Expected results upon completion of the project: Development of methods, algorithms and software packages for conducting the numerical research of interactions of various types in complex systems of nuclear physics and quantum mechanics. Methods for modelling multifactorial processes in materials and condensed matter under external actions. Methods for solving simulation tasks in the design of experimental facilities and the optimization of their operating modes. Methods for modelling complex processes in dense nuclear matter based on the equation of state. Methods for modelling quantum systems using quantum information theory methods and hybrid quantum-classica lprogramming methods.
