[Equilibrium English Subtitle Free Download
Melvin Amey
Statistical mechanics is the study of macroscopic observables from a microscopic point of view. In this course, we will first discuss the foundations of equilibrium statistical mechanics, and define the relevant mathematical concepts used in the field. We will then put these to good use by studying a variety of systems and phenomena.
The course will cover traditional areas of statistical mechanics with a mathematical flavor. It will describe exact results where available and heuristic physical arguments where applicable. A rough outline is given below:
In this lesson, we investigate how prices reach equilibrium and how the market works like an invisible hand coordinating economic activity. At equilibrium, the price is stable and gains from trade are maximized. When the price is not at equilibrium, a shortage or a surplus occurs. The equilibrium price is the result of competition amongst buyers and sellers.
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You can visualize the equilibrium price as a ball in bowl. The bowl can can be tipped and the ball will move, but it will find its way back to a stable place. The equilibrium price works that same way. At any other price, forces are put into play that will push the price back towards equilibrium.
The first thing you need to understand about this process is how the competition works. Buyers are competing against other buyers and sellers are competing against other sellers. Buyers are not competing sellers.
Prices are regulated in many markets, ranging from healthcare to labor to telecommunications. The regulated product or service may change so that at least part of the gains from trade can still be realized while complying with the regulation. Treating the definition of products as an equilibrium outcome is possible merely by reinterpreting variables in the basic supply-demand model. Specifically, price controls constrain the production-factor mix along the supply chain. This approach yields surprising insights into the incidence of price regulations and their effects on the amount of trade. It also reveals how many of the short-run effects of price controls can be opposite of what they are in the long run.
N2 - Coupled QED resonator arrays have been shown to exhibit interesting many-body physics including Mott and Fractional Hall states of photons. One of the main differences between these photonic quantum simulators and their cold atoms counterparts is in the dissipative nature of their photonic excitations. The natural equilibrium state is where there are no photons left in the cavity. Pumping the sys- tem with external drives is therefore necessary to compensate for the dissipation and realize non-trivial states. The external driving here can in easily be tuned to be inco- herent, coherent or quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. In this chapter, we review some of the physics arising in driven-dissipative coupled resonator arrays including photon fermioniza- tion, crystallization, as well as photonic quantum Hall physics out of equilibrium. We start by briefly describing possible experimental candidates to realize coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings Hubbard and Bose Hubbard Hamiltonians, highlighting the different regimes of applicability for each. A brief review of the analytical and so- phisticated numerical methods required to tackle these systems is included.
AB - Coupled QED resonator arrays have been shown to exhibit interesting many-body physics including Mott and Fractional Hall states of photons. One of the main differences between these photonic quantum simulators and their cold atoms counterparts is in the dissipative nature of their photonic excitations. The natural equilibrium state is where there are no photons left in the cavity. Pumping the sys- tem with external drives is therefore necessary to compensate for the dissipation and realize non-trivial states. The external driving here can in easily be tuned to be inco- herent, coherent or quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. In this chapter, we review some of the physics arising in driven-dissipative coupled resonator arrays including photon fermioniza- tion, crystallization, as well as photonic quantum Hall physics out of equilibrium. We start by briefly describing possible experimental candidates to realize coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings Hubbard and Bose Hubbard Hamiltonians, highlighting the different regimes of applicability for each. A brief review of the analytical and so- phisticated numerical methods required to tackle these systems is included.
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Turbine lubricant varnish is produced by breakdown of hydrocarbon lubricants. Its deleterious impact on equipment performance and reliability is well-documented. Varnish has traditionally been defined as an insoluble deposit, however, it also exists in an often-overlooked soluble state. While soluble varnish forms as the result of an irreversible chemical reaction, the conversion between soluble and insoluble varnish is often a physical process; importantly, this process is reversible. Like other interconvertible states of matter, the relative amount of soluble and insoluble varnish in a system is dictated by a dynamic equilibrium.
Presenter Background: Matthew G. Hobbs is the Senior Chemist at EPT Clean Oil, where he manages research, development and the Fluid Technical Center services. As a technical expert, Matthew works with users to provide lubricant contamination solutions in critical industrial applications. Before joining EPT Clean Oil, Matthew obtained his PhD in synthetic chemistry from the University of Calgary and was the General Manager of a National oil analysis laboratory.
Matthew is also an active contributor to ASTM, recognized recently with the Award of Appreciation from ASTM International. This award recognizes the tremendous contributions Matthew has made to the Petroleum Products, Liquid Fuels, and Lubricants Committee. Of note, Matthew was a vital contributor to the updates of the following ASTM Standards:
N2 - Coordination failures constitute an alternative explanation for underemployment that complements the Keynesian and neo-classical views. The paper proposes to distinguish three classes of models with coordination failures. The classes are formed by strategic models with or without a coordinating role for prices, and general equilibrium models. The main insights resulting for each class of models are exhibited. It is argued that coordination failures are likely to arise in a decentralized economy, even under conditions where perfect competition could prevail. The paper concludes by pointing out several promising directions for future research.
AB - Coordination failures constitute an alternative explanation for underemployment that complements the Keynesian and neo-classical views. The paper proposes to distinguish three classes of models with coordination failures. The classes are formed by strategic models with or without a coordinating role for prices, and general equilibrium models. The main insights resulting for each class of models are exhibited. It is argued that coordination failures are likely to arise in a decentralized economy, even under conditions where perfect competition could prevail. The paper concludes by pointing out several promising directions for future research.
N2 - Human interventions can result in changes in the equilibrium profile of rivers. It is difficult to identify the bed level changes that result from river interventions due to the various causes of bed level changes. Using wavelet filtering, we are able to isolate the effect of river interventions based on the length scale over which they occur. The method presented here can aid in verifying model results. In addition, it can be used to estimate bed level changes that occur over various spatial scales.
AB - Human interventions can result in changes in the equilibrium profile of rivers. It is difficult to identify the bed level changes that result from river interventions due to the various causes of bed level changes. Using wavelet filtering, we are able to isolate the effect of river interventions based on the length scale over which they occur. The method presented here can aid in verifying model results. In addition, it can be used to estimate bed level changes that occur over various spatial scales.
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