There have also been several reviews on RS that attempt to explain the microscopic origins of how regions that were originally insulators can change into conductors. Considerable research has been performed to understand the physical mechanisms of RS and explore the feasibility and limits of such devices. After discovery ~50 years ago, RS phenomena have attracted great attention due to their potential application in next-generation electrical devices. Here we report that resistive switching (RS) phenomena are reversible changes in the metastable resistance state induced by external electric fields. Resistive switching phenomena: A review of statistical physics approaches The other new direction in developing the mathematical approach in physics is quantum tomography that provides a new vision of It is remarkable that this effect was recently observed experimentally. Such dynamical invariants play an important role in studying the dynamical Casimir effect, the essence of the effect being the creation of photons from the vacuum in a cavity with moving boundaries due to the presence of purely quantum fluctuations of the electromagnetic field in the vacuum. the systems of parametric oscillators with time-dependent parameters, like Ermakov systems, which have specific constants of motion depending linearly or quadratically on the oscillator positions and momenta. In fact, this is a very old problem of both classical and quantum systems, e.g. Among the particular topics under discussion there are some reviews on the problems of dynamical invariants and their relations with symmetries of the physical systems. In this section of CAMOP 'Mathematical Methods of Studying Physical Phenomena' new results and new trends in the rapidly developing domain of quantum (and classical) physics are presented. The mathematical methods needed to describe all quantum phenomena mentioned above were also the subject of intense studies in the end of the last, and beginning of the new, century. Quantum correlations like the entanglement of the states of composite systems, the phenomenon of quantum discord, which captures other aspects of quantum correlations, quantum contextuality and, connected with these phenomena, uncertainty relations for conjugate variables and entropies, like Shannon and Rényi entropies, and the inequalities for spin states, like Bell inequalities, reflect the recently understood quantum properties of micro and macro systems. In recent decades, substantial theoretical and experimental progress was achieved in understanding the quantum nature of physical phenomena that serves as the foundation of present and future quantum technologies. Mathematical methods of studying physical phenomena I will summarize some aspects of our present understanding and highlight several important prospects for the future. A more complete understanding is required, both to understand these diverse phenomena and to employ this understanding to probe for new underlying physics in experiments including neutrinoless double beta decay and accelerator neutrino experiments. Questions to be addressed include the existence of exotic states of matter in cold atoms and nuclei, the response of this correlated matter to external probes, and the behavior of matter in extreme astrophysical environments. Experiments from table-top to the extremely large scale experiments including FRIB and LIGO will help determine the properties of matter across an incredible scale of distances and energies. Strongly correlated quantum matter is ubiquitous in physics from cold atoms to nuclei to the cold dense matter found in neutron stars. Recommends classrooms in universities, government, and industry be linked to advanced computing centers so computer simulations integrated into education process.įeshbach Prize: New Phenomena and New Physics from Strongly-Correlated Quantum Matter Visual, aural, tactile, and kinesthetic effects used to teach such physical sciences as dynamics of fluids. Covers both present simulation capabilities and major advances expected in near future. Paper discusses computer simulation as means of experiencing and learning to understand physical phenomena. The techniques described are an attempt to simplify the formulation of mathematical models by reducing the modeling process to a series of routine operations, which can be performed either manually or by computer.ĭisplaying Computer Simulations Of Physical Phenomena The feasibility of combining tensor methods and computer capability to formulate problems is demonstrated. Aeronautics, fluid dynamics, and cosmology are among the areas of application. Tensor calculus is applied to the formulation of mathematical models of diverse phenomena. Mathematical Modeling of Diverse Phenomena
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |