How Bose–Einstein Condensates Keep Revealing Weird Physics Stephen Ornes, Science Writer
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On the Definition of the Measurement Unit for Extreme Quantity Values: Some Considerations on the Case of Temperature and the Kelvin Scale
ON THE DEFINITION OF THE MEASUREMENT UNIT FOR EXTREME QUANTITY VALUES: SOME CONSIDERATIONS ON THE CASE OF TEMPERATURE AND THE KELVIN SCALE Franco Pavese 1 1 Torino, Italy E-mail (corresponding author): [email protected] Abstract Many quantities are attributed a range of values that can apparently extend to infinity (on one side or both sides). In this respect, the definitions of their measurement units do not place any constraint to the maximum (or minimum) value for their validity. In general, that happens because those extreme values are far from being reached on the earth, or presently in experiments. However, since the same units are used also in fields of physics, chemistry or technology where they could occur—namely in the description of the universe in one sense, and in pico-nanoscale or particle physics in another sense—the issue of extreme values (not in statistical meaning here) is not irrelevant. The question placed and discussed in this paper is whether the present kelvin scale, based on Lord Kelvin’s second definition (our currently accepted concept of temperature), applies over a full range between bounds (0, ∞) or not, and about the concept of temperature in itself in the extremes regions. The aim, however, is not to provide an answer, but to suggest there are difficulties with the application of current concepts at extremes of temperature. Keywords: kelvin scale; Lord Kelvin proposals; extreme temperatures; temperature definition; unit definition 1 Introduction Many quantities have a range of values that can apparently extend to infinity (on one side or both sides). In this respect, the definition of their measurement units does not place any constraint to the maximum (or minimum) value for its validity. -
The Third Law of Thermodynamics Or an Absolute Definition for Entropy. Part
The third law of thermodynamics or an absolute definition for Entropy. Part 1 : the origin and applications in thermodynamics. Accepted for the revue: “La Météorologie ” / Revision 2 - December 2, 2019. by Pascal Marquet. Météo-France, CNRM/GMAP, Toulouse. Abstract This article describes the third law of thermodynamics. This law is often poorly known and is often decried, or even considered optional and irrelevant to describe weather and climate phenomena. This, however, is inaccurate and contrary to scientific facts. A rather exhaustive historical study is proposed here in order to better understand, in another article to come, why the third principle can be interesting for the atmosphere sciences. 1 Introduction Before being able to study in a second part the properties of entropy in the atmosphere, it is necessary to recall in this first part why its calculation poses certain problems in thermodynamics, problems whose solution passes through the invention and the application of the third law of thermodynamics which introduces a kind of absolute in the calculation of entropy. And the idea that certain absolutes may exist had preceded the establishment of the third law. 2 The notion of absolute temperature Thermodynamics teaches us that the notion of temperature corresponds to the measurement of the energy of the microscopic agitations of atoms or molecules in the solids, liquids or gases which constitute the environment which surrounds us, and therefore in particular in the atmosphere. Carnot (1824) was able to establish the existence of universal things, supposing that the perpetual motion of thermal machines was impossible. He first highlighted the existence of a maximum efficiency that depends only on the temperatures of the bodies between which these machines operate. -
DENDRAL Program E
12 On Generality and Problem Solving: A Case Study Using the DENDRAL Program E. A. Feigenbaum, B. G. Buchanan and J. Lederberg Computer Science Department Stanford University In discussing the capability of a problem-solving system, ne should dis- tinguish between generality and expertness. Generality is being questioned when we ask: how broad a universe of problems is the problem solver prepared to work on? Expertness is being questioned when we ask: how good are the answers and were they arrived at with reasonable cost? Generality has great utility in some ways, but is not often associated with superior performance. The experts usually are specialists. In analytical chemistry, there is a domain of inductive inference problems involving the determination of molecular structure by analysis of certain physical spectra of the molecule. We have written a problem-solving program (Heuristic Dendral) that is prepared to attempt to solve any problem in this very large domain. By now, it has solved hundreds ofstructure-determina- tion problems in many different chemical families. For some families of molecules, it is an expert, even when compared with the best human perfor- mance. For the other families, i.e., most of chemistry, it performs as a novice, or worse. This paper will use the design of Heuristic Dendral and its performance on many different problems it has solved as raw material for a discussion of the following topics: 1. the design for generality; 2. the performance problems attendant upon too much generality; 3. the coupling of expertise to the general problem-solving processes; 4. the symbiotic relationship between generality and expertness, and the implications of this symbiosis for the study and design of problem-solving systems. -
UBO & MPD Glossary
UBO & MPD Glossary December 2011 Aniline Point – The aromatics content of a hydrocarbon A. mixture. Abnormal Pressure - Reservoir pore fluid pressure that Annulus Friction Pressure (AFP) – Difference is not similar to normal saltwater gradient pressure. The between bottomhole pressure and choke pressure due to term is usually associated with higher than normal friction; a function of flow rate, hole geometry, surface pressure, increased complexity for the well designer and roughness, fluid properties. an increased risk of well control problems. Abnormal – American Petroleum Institute. pressure gradients exceed a 10-ppg equivalent fluid API density (0.52 psi per foot). Gradients below normal are API Gravity - arbitrary measurement of density adopted in called subnormal. 1921 by the American Petroleum Institute and the Bureau Absolute Pressure - pressure measured with respect to of Standards. zero pressure; the sum of atmospheric pressure and gauge Apparent Power - combination of real and reactive pressure. power. Absolute Temperature - temperature measured with Apparent Viscosity - Slope of the shear stress versus respect to absolute zero, in degrees Rankine or degrees velocity gradient for a fluid. For Newtonian fluids, the Kelvin. apparent viscosity equals the absolute viscosity. Absolute Viscosity - dynamic relationship between a Aromatics – Ring group chemical structure. Most force and the fluid motion. common are benzene, toluene, and xylene. Absolute Zero Temperature - temperature that B. prevents molecular motion. Back Pressure Valve - A flow control valve to provide - rate of change in velocity. Acceleration backflow control when running or pulling a string. Active data - continually updated data, based on latest Backup – Redundant equipment available to complete an operational data. operation in the event the primary equipment fails. -
Thermodynamics the Study of the Transformations of Energy from One Form Into Another
Thermodynamics the study of the transformations of energy from one form into another First Law: Heat and Work are both forms of Energy. in any process, Energy can be changed from one form to another (including heat and work), but it is never created or distroyed: Conservation of Energy Second Law: Entropy is a measure of disorder; Entropy of an isolated system Increases in any spontaneous process. OR This law also predicts that the entropy of an isolated system always increases with time. Third Law: The entropy of a perfect crystal approaches zero as temperature approaches absolute zero. ©2010, 2008, 2005, 2002 by P. W. Atkins and L. L. Jones ©2010, 2008, 2005, 2002 by P. W. Atkins and L. L. Jones A Molecular Interlude: Internal Energy, U, from translation, rotation, vibration •Utranslation = 3/2 × nRT •Urotation = nRT (for linear molecules) or •Urotation = 3/2 × nRT (for nonlinear molecules) •At room temperature, the vibrational contribution is small (it is of course zero for monatomic gas at any temperature). At some high temperature, it is (3N-5)nR for linear and (3N-6)nR for nolinear molecules (N = number of atoms in the molecule. Enthalpy H = U + PV Enthalpy is a state function and at constant pressure: ∆H = ∆U + P∆V and ∆H = q At constant pressure, the change in enthalpy is equal to the heat released or absorbed by the system. Exothermic: ∆H < 0 Endothermic: ∆H > 0 Thermoneutral: ∆H = 0 Enthalpy of Physical Changes For phase transfers at constant pressure Vaporization: ∆Hvap = Hvapor – Hliquid Melting (fusion): ∆Hfus = Hliquid – -
Lecture 15 November 7, 2019 1 / 26 Counting
...Thermodynamics Positive specific heats and compressibility Negative elastic moduli and auxetic materials Clausius Clapeyron Relation for Phase boundary \Phase" defined by discontinuities in state variables Gibbs-Helmholtz equation to calculate G Lecture 15 November 7, 2019 1 / 26 Counting There are five laws of Thermodynamics. 5,4,3,2 ... ? Laws of Thermodynamics 2, 1, 0, 3, and ? Lecture 15 November 7, 2019 2 / 26 Third Law What is the entropy at absolute zero? Z T dQ S = + S0 0 T Unless S = 0 defined, ratios of entropies S1=S2 are meaningless. Lecture 15 November 7, 2019 3 / 26 The Nernst Heat Theorem (1926) Consider a system undergoing a pro- cess between initial and final equilibrium states as a result of external influences, such as pressure. The system experiences a change in entropy, and the change tends to zero as the temperature char- acterising the process tends to zero. Lecture 15 November 7, 2019 4 / 26 Nernst Heat Theorem: based on Experimental observation For any exothermic isothermal chemical process. ∆H increases with T, ∆G decreases with T. He postulated that at T=0, ∆G = ∆H ∆G = Gf − Gi = ∆H − ∆(TS) = Hf − Hi − T (Sf − Si ) = ∆H − T ∆S So from Nernst's observation d (∆H − ∆G) ! 0 =) ∆S ! 0 As T ! 0, observed that dT ∆G ! ∆H asymptotically Lecture 15 November 7, 2019 5 / 26 ITMA Planck statement of the Third Law: The entropy of all perfect crystals is the same at absolute zero, and may be taken to be zero. Lecture 15 November 7, 2019 6 / 26 Planck Third Law All perfect crystals have the same entropy at T = 0. -
(2020) Observation of Collective Decay Dynamics of a Single Rydberg
PHYSICAL REVIEW RESEARCH 2, 043339 (2020) Observation of collective decay dynamics of a single Rydberg superatom Nina Stiesdal ,1 Hannes Busche ,1 Jan Kumlin ,2 Kevin Kleinbeck,2 Hans Peter Büchler ,2 and Sebastian Hofferberth 1,* 1Department of Physics, Chemistry and Pharmacy, Physics@SDU, University of Southern Denmark, 5320 Odense, Denmark 2Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology, University of Stuttgart, 70550 Stuttgart, Germany (Received 11 May 2020; accepted 11 November 2020; published 8 December 2020) We experimentally investigate the collective decay of a single Rydberg superatom, formed by an ensemble of thousands of individual atoms supporting only a single excitation due to the Rydberg blockade. Instead of observing a constant decay rate determined by the collective coupling strength to the driving field, we show that the enhanced emission of the single stored photon into the forward direction of the coupled optical mode depends on the dynamics of the superatom before the decay. We find that the observed decay rates are reproduced by an expanded model of the superatom which includes coherent coupling between the collective bright state and subradiant states. DOI: 10.1103/PhysRevResearch.2.043339 I. INTRODUCTION been used to study the propagation of quantized light in one- dimensional waveguides, while the semiclassical approach The collective interaction between an ensemble of emitters enables investigation of large, weakly driven ensembles in two and photons is a fundamental topic of quantum optics, which or three dimensions. In the single-excitation sector and as long has been extensively studied for over 60 years [1]. Collective as saturation of the medium can be neglected, the two ap- enhancement of the emission, known as superradiance, has proaches lead to equivalent results [34,35]. -
Ch. 3. the Third Law of Thermodynamics (Pdf)
3-1 CHAPTER 3 THE THIRD LAW OF THERMODYNAMICS1 In sharp contrast to the first two laws, the third law of thermodynamics can be characterized by diverse expression2, disputed descent, and questioned authority.3 Since first advanced by Nernst4 in 1906 as the Heat Theorem, its thermodynamic status has been controversial; its usefulness, however, is unquestioned. 3.1 THE HEAT THEOREM The Heat Theorem was first proposed as an empirical generalization based on the temperature dependence of the internal energy change, ∆U, and the Helmholtz free energy change, ∆A, for chemical reactions involving condensed phases. As the absolute temperature, T, approaches zero, ∆U and ∆A by definition become equal, but The Heat Theorem stated that d∆U/dT and d∆A/dT also approach zero. These derivatives are ∆Cv and -∆S respectively. The statement that ∆Cv equals zero would attract little attention today in view of the abundance of experimental and theoretical evidence showing that the heat capacities of condensed phases approach zero as zero absolute temperature is approached. However, even today the controversial and enigmatic aspect of The Heat Theorem is the equivalent statement 1 Most of this chapter is taken from B.G. Kyle, Chem. Eng. Ed., 28(3), 176 (1994). 2 For a sampling of expressions see E. M. Loebl, J. Chem. Educ., 37, 361 (1960). 3 For extreme positions see E. D. Eastman, Chem. Rev., 18, 257 (1936). 4 All of Nernst's work in this area is covered in W. Nernst, The New Heat Theorem; Dutton: New York, 1926. 3-2 lim ∆S = 0 (3-1) T → 0 In 1912 Nernst offered a proof that the unattainability of zero absolute temperature was dictated by the second law of thermodynamics and was able to show that Eq. -
MODULE 11: GLOSSARY and CONVERSIONS Cell Engines
Hydrogen Fuel MODULE 11: GLOSSARY AND CONVERSIONS Cell Engines CONTENTS 11.1 GLOSSARY.......................................................................................................... 11-1 11.2 MEASUREMENT SYSTEMS .................................................................................. 11-31 11.3 CONVERSION TABLE .......................................................................................... 11-33 Hydrogen Fuel Cell Engines and Related Technologies: Rev 0, December 2001 Hydrogen Fuel MODULE 11: GLOSSARY AND CONVERSIONS Cell Engines OBJECTIVES This module is for reference only. Hydrogen Fuel Cell Engines and Related Technologies: Rev 0, December 2001 PAGE 11-1 Hydrogen Fuel Cell Engines MODULE 11: GLOSSARY AND CONVERSIONS 11.1 Glossary This glossary covers words, phrases, and acronyms that are used with fuel cell engines and hydrogen fueled vehicles. Some words may have different meanings when used in other contexts. There are variations in the use of periods and capitalization for abbrevia- tions, acronyms and standard measures. The terms in this glossary are pre- sented without periods. ABNORMAL COMBUSTION – Combustion in which knock, pre-ignition, run- on or surface ignition occurs; combustion that does not proceed in the nor- mal way (where the flame front is initiated by the spark and proceeds throughout the combustion chamber smoothly and without detonation). ABSOLUTE PRESSURE – Pressure shown on the pressure gauge plus at- mospheric pressure (psia). At sea level atmospheric pressure is 14.7 psia. Use absolute pressure in compressor calculations and when using the ideal gas law. See also psi and psig. ABSOLUTE TEMPERATURE – Temperature scale with absolute zero as the zero of the scale. In standard, the absolute temperature is the temperature in ºF plus 460, or in metric it is the temperature in ºC plus 273. Absolute zero is referred to as Rankine or r, and in metric as Kelvin or K. -
Mesoscopic Rydberg-Blockaded Ensembles in the Superatom Regime and Beyond
LETTERS PUBLISHED ONLINE: 12 JANUARY 2015 | DOI: 10.1038/NPHYS3214 Mesoscopic Rydberg-blockaded ensembles in the superatom regime and beyond T. M. Weber, M. Höning, T. Niederprüm, T. Manthey, O. Thomas, V. Guarrera†, M. Fleischhauer, G. Barontini† and H. Ott* The control of strongly interacting many-body systems of a Bose–Einstein condensate of 87Rb atoms. We first load the enables the creation of tailored quantum matter with complex condensate into a one-dimensional optical lattice with a spacing of properties. Atomic ensembles that are optically driven to a 532 nm, to suppress the axial movement of the atoms. We subse- Rydberg state provide many examples for this: atom–atom quently compress the atomic sample in the radial direction to reduce entanglement1,2, many-body Rabi oscillations3, strong its size below the blockade radius and empty all but three (or more) photon–photon interaction4 and spatial pair correlations5. lattice sites using a focused electron beam8–10 (Fig. 1a and Methods). In its most basic form Rydberg quantum matter consists of The atom number within the ensemble (N) can be adjusted between an isolated ensemble of strongly interacting atoms spatially 100 and 500 at a temperature of T D .3.5 0.5/ µK and the typical confined to the blockade volume—a superatom. Here we size of the sample is ≤3 µm in diameter (Fig. 1b). Our preparation demonstrate the controlled creation and characterization scheme is readily scalable to arrays of superatoms (Fig. 1d). of an isolated mesoscopic superatom by means of accurate After preparation we excite the atomic ensemble with a density engineering and excitation to Rydberg p-states. -
Section 5 Further Thermodynamics
Section 5 Further Thermodynamics 5.1 Phase equilibrium 5.1.1 Conditions for equilibrium coexistence It is an observed fact that the physical state of a system can sometimes be changed dramatically when its external conditions are changed only slightly. Thus ice melts when the temperature is increased from slightly below 0°C to slightly above this temperature. Different physical states of the same substance are referred to as phases and the study of transitions between phases is one of the most interesting problems in statistical thermodynamics. This is partly because the question of predicting when and how a phase transition will occur is still not a fully solved problem. There is the further point that a comprehensive understanding of phase transition phenomena might have wider application to such things as the outbreak of a war or a stock market crash. Very generally, phase transitions are due to interactions between the constituent particles of a system. The model-dependence of the behavior would suggest that full understanding can only come from a statistical mechanical study, not from thermodynamics. However there are many aspects of phase transitions which seem to be general and common to many systems. Macroscopic thermodynamics is of help here since it is model-independent and it connects seemingly unrelated properties of the system. This frees us to concentrate on the few thermodynamic variables of the system instead of getting bogged down in the microscopic detail. We start by considering the conditions for equilibrium to exist between two phases of the same substance — such as ice and water, for example. -
Hrvoje Petek – List of Publications
Sep. 10, 2018 Hrvoje Petek – List of Publications Invited and Review Articles: 1. M. Dąbrowski, Y. Dai, and H. Petek, “Ultrafast Microscopy: Imaging Light with Photoelectrons on the Nano-Femto Scale,” Perspective article in J. Chem. Phys. Lett. 8, 4446 (2017). 2. H. Petek, “Photoemission Electron Microscopy: Photovoltaics in ction,” News &Views article in Nature Nano. 12, 3 (2017). 3. H. Petek, "Imaging: Nano meets femto," Nat Nano 11, 404 (2016). 4. H. Petek, “Viewpoint: The Calisthenics of Surface Femtochemistry,” Physics 9, 123 (2016). 5. H. Petek, “Imaging: Nano meets femto,” News &Views article in Nature Nano. 11, 404 (2015). 6. H. Petek, “Single molecule femtochemistry – molecular imaging at the space- time-limit,” ACS Nano (invited Perspective Article) 8, 5 (2014). 7. M. Hase, M. Katsuragawa, A. M. Constantinescu, and H. Petek, “Coherent Phonon Induced Optical Modulation in Semiconductors at Terahertz Frequencies,” New J. Phys. 15, 055018 (2013). 8. T. Huang, J. Zhao, M. Feng, A. Popov, S. Yang, L. Dunsch, and H. Petek “A Multi-state Single-molecule Switch Actuated by Rotation of an Encapsulated Cluster within a Fullerene Cage,” Chem. Phys. Lett. Frontiers Article 552, 1 (2012). 9. H. Petek, “Photoexcitation of Adsorbates on Metal Surfaces: One- 1 Sep. 10, 2018 step or Three Step,” J. Chem. Phys. 137, 091704 (2012). (Invited Essay in the Special Issue on Surface Photochemistry) 10. A. Kubo, and H. Petek, “Imaging of Surface Plasmon Polariton Fields by Femtosecond Laser Excited Photoemission Electron Microscopy,” Hyoumen Kagaku (Journal of the Surface Science Society of Japan) 33, 235 (2012) (in Japanese). 11. M. Feng, C.