Basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. Techniques and software for statistical sampling, simulation, data analysis and visualization. Use of statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal-footing with theory and experiment. Term project allows development of individual interest. Student mentoring by a coordinated team of participating faculty from across the Institute.

Basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. Techniques and software for statistical sampling, simulation, data analysis and visualization. Use of statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal-footing with theory and experiment. Term project allows development of individual interest. Student mentoring by a coordinated team of participating faculty from across the Institute.

This subject provides an introduction to modeling and simulation (IM/S), covering continuum methods, atomistic and molecular simulation (e.g. molecular dynamics) as well as quantum mechanics. These tools play an increasingly important role in modern engineering. You will get hands-on training in both the fundamentals and applications of these methods to key engineering problems. The lectures will provide an exposure to areas of application, based on the scientific exploitation of the power of computation. We will use web based applets for simulations and thus extensive programming skills are not required.

This course is a required sophomore subject in the Department of Materials Science and Engineering, designed to be taken in conjunction with the core lecture subject 3.012 Fundamentals of Materials Science and Engineering. The laboratory subject combines experiments illustrating the principles of quantum mechanics, thermodynamics and structure with intensive oral and written technical communication practice. Specific topics include: experimental exploration of the connections between energetics, bonding and structure of materials, and application of these principles in instruments for materials characterization; demonstration of the wave-like nature of electrons; hands-on experience with techniques to quantify energy (DSC), bonding (XPS, AES, FTIR, UV/vis and force spectroscopy), and degree of order (x-ray scattering) in condensed matter; and investigation of structural transitions and structure-property relationships through practical materials examples.

The NSTP (Non - Spatial Thinking Process) theory is a theory that the material universe is exclusively a group of superhuman as well as non-superhuman thinking processes existing in the form of (non-spatial physical/material) feelings (i.e. states of consciousness). In computer terminology, it regards the (material) universe as a non-spatial computer, with hardware of non-spatial feelings and software of superhuman as well as non-superhuman thoughts/ideas, including those of space, which is then an illusive/virtual/merely apparent entity. The mere existence of the superhuman thoughts is responsible for the empirical (i.e. a posteriori) order in the non-superhuman ones. The theory is constituted of 6 axioms, 2 theorems, and 1 conjecture. It is found to be a master key that can resolve many of the mysteries in mathematics, logic, physics, biology, etc, through its universal non-spatial mechanical framework. Here, mainly Zeno’s paradoxes and quantum non-locality are considered.

The NSTP theory is a (philosophy of mind) semi-idealistic as well as semi-dualistic theory that the material universe, where some peculiar phenomena like quantum non-locality exist in, is exclusively a group of superhuman as well as non-superhuman thinking processes existing in the form of (non-spatial physical/material) feelings (i.e. states of consciousness). In computer terminology, it regards the (material) universe as a non-spatial computer, with hardware of (non-spatial) feelings and software of superhuman as well as non-superhuman thoughts/ideas, including those of space, which is then an illusive/virtual/merely apparent entity. The mere existence of the superhuman thoughts is responsible for the empirical (i.e. a posteriori) order in the non-superhuman ones. The theory, however, accepts the possibility of the reality of space, the space where the phenomena like quantum non-locality do not exist in. The theory is constituted of 6 axioms, 1 theorem, and 3 conjectures. The key strength and novelty in the theory lies in its axiomatic/self-evident foundation, its innovative semi-idealism and semi-dualism, and, in general, its road to idealism and dualism.

This work presents the NSTP (Non – Spatial Thinking Process) theoretical (philosophy of mind) idealistic solution to the problem of Yang-Mills existence and mass gap, the millennium problem announced by the Clay Mathematics Institute. As stated by the institute, ‘Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear. The successful use of Yang-Mills theory to describe the strong interactions of elementary particles depends on a subtle quantum mechanical property called the "mass gap:" the quantum particles have positive masses, even though the classical waves travel at the speed of light. This property has been discovered by physicists from experiment and confirmed by computer simulations, but it still has not been understood from a theoretical point of view. Progress in establishing the existence of the Yang-Mills theory and a mass gap will require the introduction of fundamental new ideas both in physics and in mathematics.’ If the property of mass gap contradicts the special relativistic law that no massive entity can travel at the speed of light, the point of this work is to understand that special relativity is not fundamental to nature. The new physics required to solve the problem has essentially “an idealistic framework” and the new mathematics contains terms such as “non-spatial consciousness”. Though the problem is officially expressed in a conventional symbolic mathematical language, the appropriate solution necessarily has an unconventional superconceptual mathematical language, just as its radical non-spatial computational physics does.

This illustrated essay, written for Teachers' Domain, describes the orderly arrangement of electrons around the nucleus of an atom and explains how to determine each element's configuration based on the number of electrons it has.

Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.

The purpose of this work is to bring out “semi-idealistic + semi-dualistic metaphysics” through the NSTP (Non – Spatial Thinking Process) theory. The NSTP theory is a (philosophy of mind) semi-idealistic as well as semi-dualistic theory that the material universe, where some peculiar phenomena like quantum non-locality exist in, is exclusively a group of superhuman as well as non-superhuman thinking processes existing in the form of (non-spatial physical/material) feelings (i.e. states of consciousness). In computer terminology, it regards the (material) universe as a non-spatial computer, with hardware of (non-spatial) feelings and software of superhuman as well as non-superhuman thoughts/ideas, including those of space, which is then an illusive/virtual/merely apparent entity. The mere existence of the superhuman thoughts is responsible for the empirical (i.e. a posteriori) order in the non-superhuman ones. The theory, however, accepts the possibility of the reality of space, the space where the phenomena like quantum non-locality do not exist in. The theory is constituted of 6 axioms, 1 theorem, and 3 conjectures. The key strength and novelty in the theory lies in its axiomatic/self-evident foundation, its innovative semi-idealism and semi-dualism, its idea of superhuman states of consciousness, its computational description of idealism, and, in general, its road to idealism and dualism.

Principles and methods of statistical mechanics. Classical and quantum statistics, grand ensembles, fluctuations, molecular distribution functions, and other topics in equilibrium statistical mechanics. Topics in thermodynamics and statistical mechanics of irreversible processes.

This video segment from NOVA relates the rise of subatomic physics in the 1920s and the development of the radical theory of quantum mechanics.