Relevant bibliographies by topics / Slow-roll

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Slow-roll'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Slow-roll"

1

Bouffard, Karen. "Slow roll." Physics Teacher 39, no. 3 (March 2001): 191. http://dx.doi.org/10.1119/1.1364072.

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Faraoni, Valerio. "Generalized slow-roll inflation." Physics Letters A 269, no. 4 (May 2000): 209–13. http://dx.doi.org/10.1016/s0375-9601(00)00257-7.

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Dutta, Sourish, and Robert J. Scherrer. "Slow-roll freezing quintessence." Physics Letters B 704, no. 4 (October 2011): 265–69. http://dx.doi.org/10.1016/j.physletb.2011.09.034.

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Damour, Thibault, and Viatcheslav F. Mukhanov. "Inflation without Slow Roll." Physical Review Letters 80, no. 16 (April 20, 1998): 3440–43. http://dx.doi.org/10.1103/physrevlett.80.3440.

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LANGBEIN, R. F., K. LANGFELD, H. REINHARDT, and L. von SMEKAL. "NATURAL SLOW-ROLL INFLATION." Modern Physics Letters A 11, no. 08 (March 14, 1996): 631–46. http://dx.doi.org/10.1142/s0217732396000655.

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It is shown that the nonperturbative dynamics of a phase change to the nontrivial phase of λφ4-theory in the early universe can give rise to slow-rollover inflation without recourse to unnaturally small couplings.
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Chiba, Takeshi, and Masahide Yamaguchi. "Extended slow-roll conditions and rapid-roll conditions." Journal of Cosmology and Astroparticle Physics 2008, no. 10 (October 14, 2008): 021. http://dx.doi.org/10.1088/1475-7516/2008/10/021.

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Dimopoulos, Konstantinos. "Ultra slow-roll inflation demystified." Physics Letters B 775 (December 2017): 262–65. http://dx.doi.org/10.1016/j.physletb.2017.10.066.

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Matsuda, Tomohiro. "Brane inflation without slow-roll." Journal of High Energy Physics 2007, no. 03 (March 21, 2007): 096. http://dx.doi.org/10.1088/1126-6708/2007/03/096.

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Shandera, Sarah. "Slow roll in brane inflation." Journal of Cosmology and Astroparticle Physics 2005, no. 04 (April 18, 2005): 011. http://dx.doi.org/10.1088/1475-7516/2005/04/011.

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Firouzjahi, Hassan, Amin Nassiri-Rad, and Mahdiyar Noorbala. "Stochastic ultra slow roll inflation." Journal of Cosmology and Astroparticle Physics 2019, no. 01 (January 21, 2019): 040. http://dx.doi.org/10.1088/1475-7516/2019/01/040.

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Dissertations / Theses on the topic "Slow-roll"

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Longo, Mirko. "Stochastic effects in ultra slow-roll inflation." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17098/.

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In this work we apply the stochastic inflation formalism to backgrounds that deviate from standard slow-roll in a way that can lead to the production of primordial black holes. We analyse the effects of sudden transitions on the stochastic noise amplitude and its potential impact on the production of primordial black holes in single field inflation. We justify the claim that primordial black holes can be responsible for a significant fraction of the dark matter abundance today and estimate the required enhancement in the power spectrum. We introduce the Hamiltonian formalism and the coarse-graining of the quantum field and its momentum, allowing us to obtain a quantitative measure of the role of quantum diffusion in the production of primordial black holes. We mainly focus our analysis on a Starobinsky potential given that it is rich enough to allow for the dynamics of the scalar field during inflation to include an ultra slow-roll phase induced by a transition from a relatively large slow-roll parameter to a hierarchically smaller one. This has the effect of making the field perturbations undergo sudden transitions and rise from its ground state to an excited state. We present two procedures that we employed when calculating the power spectrum: a numerical and an analytical one. Both methods show that stochastic effects are negligible at small scales where their amplitude is time dependent and vanishes at late times, and that for scales leaving the horizon after the ultra slow-roll phase the de Sitter estimate of $H^2/(4\pi^2)$ is approximately correct. We therefore demonstrate that the estimates in the literature are incomplete and that a revaluation of the role of stochastic effects on primordial black hole production is in order.
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Menadeo, Nicola. "Ultra slow roll inflation in quantum cosmology." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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Lo scopo di questa tesi è studiare l’evoluzione perturbata della funzione di correlazione a due punti del campo di Mukhanov-Sasaki, descrivendo le perturbazioni cosmologiche scalari al primo ordine in m−2P, in presenza di effetti quantistici gravitazionali e in uno scenario di Ultra Slow Roll. Il nostro approccio si basa sulla descrizione di Wheeler-DeWitt (WdW) della gravità quantistica. Verranno discusse e confrontate diverse decomposizioni di Born-Oppenheimer per i sistemi materia-gravità, dove per "materia" si identifica un campo scalare (inflatone) minimamente accoppiato alla gravità in presenza di un potenziale costante. Inoltre, è stata ottenuta l’equazione "modificata" di Mukhanov-Sasaki in presenza di effetti quantistici gravitazionali. In conclusione discuteremo di come tali correzioni (emergenti dal formalismo di Wheeler e DeWitt) possano influenzare la formazione dei Buchi Neri Primordiali.
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Satoh, Masaki. "Slow-roll Inflation with the Gauss-Bonnet and Chen-Simons Corrections." 京都大学 (Kyoto University), 2011. http://hdl.handle.net/2433/142369.

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De, Martino Danilo. "String inflationary models with non-monotonic slow-roll and detectable tensor modes." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8391/.

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The first chapter of this work has the aim to provide a brief overview of the history of our Universe, in the context of string theory and considering inflation as its possible application to cosmological problems. We then discuss type IIB string compactifications, introducing the study of the inflaton, a scalar field candidated to describe the inflation theory. The Large Volume Scenario (LVS) is studied in the second chapter paying particular attention to the stabilisation of the Kähler moduli which are four-dimensional gravitationally coupled scalar fields which parameterise the size of the extra dimensions. Moduli stabilisation is the process through which these particles acquire a mass and can become promising inflaton candidates. The third chapter is devoted to the study of Fibre Inflation which is an interesting inflationary model derived within the context of LVS compactifications. The fourth chapter tries to extend the zone of slow-roll of the scalar potential by taking larger values of the field φ. Everything is done with the purpose of studying in detail deviations of the cosmological observables, which can better reproduce current experimental data. Finally, we present a slight modification of Fibre Inflation based on a different compactification manifold. This new model produces larger tensor modes with a spectral index in good agreement with the date released in February 2015 by the Planck satellite.
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Cericola, Davide. "Rapporto tensore su scalare con gravità indotta: analisi dell’approssimazione di slow-roll nei frames di Jordan e Einstein." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11506/.

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L’obbiettivo di questa tesi è quello di analizzare le conseguenze della scelta del frame (Jordan o Einstein) nel calcolo delle proprietà degli spettri primordiali generati dall’inflazione ed in particolare dell’osservabile r (rapporto tensore su scalare) al variare del potenziale del campo che genera l’espansione accelerata. Partendo dalla descrizione della teoria dell’inflazione in relatività generale, focalizzando l’attenzione sui motivi che hanno portato all’introduzione di questa teoria, vengono presentate le tecniche di utilizzo comune per lo studio della dinamica omogenea (classica) inflazionaria e di quella disomogenea (quantistica). Una particolare attenzione viene rivolta ai metodi di approssimazione che è necessario adottare per estrarre predizioni analitiche dai modelli inflazionari per poi confrontarle con le osservazioni. Le tecniche introdotte vengono poi applicate ai modelli di inflazione con gravità indotta, ovvero ad una famiglia di modelli con accoppiamento non minimale tra il campo scalare inflatonico e il settore gravitazionale. Si porrà attenzione alle differenze rispetto ai modelli con accoppiamento minimale, e verrà studiata la dinamica in presenza di alcuni potenziali derivanti dalla teoria delle particelle e diffusi in letteratura. Il concetto di “transizione tra il frame di Jordan e il frame di Einstein” viene illustrato e le sue conseguenze nel calcolo approssimato del rapporto tensore su scalare sono discusse. Infine gli schemi di approssimazione proposti vengono analizzati numericamente. Risulterà che per due dei tre potenziali presentati i metodi di approssimazione sono più accurati nel frame di Einstein, mentre per il terzo potenziale i due frames portano a risultati analitici similmente accurati.
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Edwards, David Craig. "Theoretical considerations in the use of scalar-tensor theories of gravity in inflationary models." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31404.

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The inflationary paradigm is one which was designed to answer questions that arose from classical Hot Big Bang cosmology. The period of rapid expansion in the early Universe provides a mechanism to solve the flatness, horizon and relic problems. More importantly, since the theory was first introduced it has been realised that it also provides a mechanism to generate the initial perturbations from which structure in the Universe can grow. In the zoo of potential inflationary models there is a dominant class: slow-roll inflation. The idea that the energy density of the inflationary field is dominated by its potential highly simplifies the calculations required to predict observable quantities. This simplification relies on all the information required to know the subsequent dynamics of the field to be encoded in the space Φ-Φ̇; it must be an effective phase space. I show that Φ-Φ̇ can be considered to be such a space for the most general scalar-tensor theory which gives second-order equations of motion: Horndeski theory. There are theoretical issues associated with this reduction that are illuminated through specific examples in which they occur. A theoretical issue with inflation is that there is an overabundance of models, with some capable of predicting any value of the possible observables. The second block of work in this thesis looks at a particular set of models that make the same observational prediction. These 'attractor' models utilise a non-minimal coupling between the inflationary fields and gravity and are studied in depth, both in the case of one and several fields. Firstly, I examine the Universal Attractors, a single field subset of these models. I show, in detail, the observational prediction such a model makes in the case of a strong non-minimal coupling and then examine the constraints it would be possible to put on such a coupling if a confirmed detection of primordial gravitational waves was made. Despite the discussion existing in the literature there is a small deviation of the Universal Attractor models from the predictions of the Starobinsky model. Furthermore, the coupling, ξ is found to be constrained so that |ξ| < 1 in the case where there a level of detectable primordial tensor modes. While the attractor models have an effective one-field description in reality there are several other fields that are assumed to be fixed during the inflationary phase. This claim requires careful examination as the field-space of the models generally is not flat. This curvature can cause a destabilising effect with certain parameters and so I investigate how susceptible the α-attractors and related models are to the destabilisation. A key result of this chapter is to highlight how important it is to not rely on the slow-roll approximation when assessing the effect of the instability, as the region where the effect begins to become large corresponds with the region where slow-roll begins to break down. Assuming the slow-roll approximation is valid leads to an over-estimation of the effect that the instability mechanism has. Despite this, some of the models considered are seen to experience the instability for certain ranges of model parameters. Making the assumption that any occurrence of the instability will, at the very least, move the observational prediction of the model outside the currently constrained range allows a constraint on the model parameter in question which directly translates to a theoretical lower bound on the tensor-scalar ratio, r > 0.0005.
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Zucchini, Sara. "Primordial black holes in string inflation." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17097/.

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In this thesis we consider the production of primordial black holes (PBH) in the context of single field inflation with the aim of describing a significant fraction of dark matter. In the models we consider, the inflaton is a string modulus and its potential is typical of type IIB fibre inflation. The potential presents a plateau at CMB scales and an extremely flat region on smaller scales. The background is analysed by solving the Friedmann's and the Klein-Gordon equations for the system. Perturbations are introduced through the usual Mukhanov-Sasaki equation for the gauge invariant curvature perturbations, whose solution allows us to find the primordial power spectrum which is then compared to observations. In the class of models considered there is an often occurring tension between the tilt of the scalar power spectrum and observations. We study this tension and propose mechanisms to minimise it. We modify the form of the fibre inflationary potential, modifying therefore the slope of the ultra slow-roll plateau. We find that a better agreement with the experimentally measured value of the spectral index can be reached. Therefore that tension between the value of the spectral index on CMB scale and the power spectrum enhancement on PBH scales can be explained as a consequence of the class of potential taken into account. This tension can be avoided in models that provide a different plateau form.
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Pedrelli, Luca. "Inflation and primordial black holes in matter domination." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17095/.

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In this thesis we will study a new interpretation of dark matter in terms of Primordial Black Holes (PBHs), i.e. black holes that are believed to form when large density perturbations, produced during the inflationary epoch, reenter the horizon and collapse because of their own gravitational force. Black holes produced in this way are referred to as "Primordial" since their production mechanism has a primordial origin during inflation. These large density fluctuations are produced if the inflationary potential possesses enough tuning freedom to feature a slow-roll plateau followed by a near inflection point that greatly enhances the power spectrum of scalar perturbations. We examine PBH formation during a radiation dominated (RD) epoch and during a matter dominated (MD) epoch driven by a gravitationally coupled scalar field (modulus) which decays before Big Bang Nucleosynthesis in order to preserve its successful predictions. We will require in both cases that the produced PBHs constitute 100% of dark matter today. In the MD case, we find that the mass of the scalar field affects the enhancement required in the curvature power spectrum: for large modulus masses, this enhancement turns out to be smaller than the one in the RD case, meaning that in the case of horizon reentry during moduli domination the potential requires less tuning to produce the same amount of PBHs. Therefore, we focus on PBH production during a MD epoch. We then introduce a model of string inflation called "Fibre Inflation", that works particularly well for our purposes since it naturally leads to a post-inflationary epoch of MD driven by an axion-like modulus. In this model the inflationary potential has enough tuning freedom to induce a period of ultra slow-roll that enhances the density perturbations at the required PBH scales: we employ this potential to obtain a numerical estimate of the scalar power spectrum and the other inflationary observables.
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Björk, Kevin. "Embedding inflation in string theory." Thesis, Uppsala universitet, Teoretisk fysik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-392100.

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We introduce slow-roll inflation in string theory on both a conceptual level and a detailed one. In order to do this we first briefly review important concepts of inflation and string theory. We then reconstruct models of string inflation in the so-called Racetrack scenario for two different cases where the difference being the number of Kähler moduli used as inflaton. Furthermore, we briefly relate our results to the more recent discussion on whether AdS/dS solutions actually exist in string theory. In this instance our results seem to indicate that uplifting is a crucial component to obtain AdS/dS solutions.
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Van, der Westhuizen Sarel Francois. "Slow active suspension control for rollover prevention." Diss., University of Pretoria, 2012. http://hdl.handle.net/2263/25432.

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Rollover prevention in Sports Utility Vehicles (SUV‟s) offers a great challenge in vehicle safety. By reducing the body roll angle of the vehicle the load transfer will increase and thus decrease the lateral force that can be generated by the tires. This decrease in the lateral force can cause the vehicle to slide rather than to roll over. This study presents the possibility of using slow active suspension control to reduce the body roll and thus reduce the rollover propensity of a vehicle fitted with a hydro-pneumatic suspension system. The slow active control is obtained by pumping oil into and draining oil out of each hydro-pneumatic suspension unit individually. A real gas model for the suspension units as well as for the accumulator that supplies the oil is incorporated in a validated full vehicle Adams model. This model is then used to simulate a double lane change manoeuvre performed by a SUV at 60 km/h and it is shown that a significant improvement in body roll can be obtained with relatively low energy requirements. The proposed control is successfully implemented on a Land Rover Defender test vehicle. A Proportional-Derivative (PD) controller is used to control on-off solenoid operated valves and the flow is adjusted using the lateral acceleration as a parameter. Experimental results confirm that a significant improvement in body roll is possible. AFRIKAANS : Omrolvoorkoming in Sportnutsvoertuie bied geweldige uitdagings in terme van voertuigveiligheid. Deur die rolhoek van die voertuig te verminder word die laterale lasoordrag verhoog en word die laterale krag wat die bande kan genereer minder. As die laterale krag genoeg verminder sal die voertuig eerder gly as omrol. Die studie ondersoek die moontlikheid om stadig-aktiewe suspensiebeheer op 'n voertuig met 'n hidropneumatiese suspensie te gebruik om bakrol te verminder en dus die omrolgeneigdheid van die voertuig te verlaag. Die beheer word toegepas deur olie in elke hidropneumaties suspensie-eenheid individueel in te pomp of te dreineer. 'n Werklike gas model word gebruik om die supensie-eenhede asook die akkumulator, wat die olie aan die suspensie voorsien, te modeleer. Hierdie modelle word in 'n gevalideerde volvoertuig ADAMS model geïnkorporeer en 'n dubbel laanverwisseling word gesimuleer teen 60 km/h. Die resultate toon dat 'n beduidende verbetering in die rolhoek moontlik is met relatiewe lae energievereistes. Die voorgestelde beheer is suksesvol op 'n Land Rover Defender geïmplimenteer en 'n Proportioneele-Differensiaal (PD) beheerder word gebruik om die aan-af solenoїde kleppe te beheer terwyl die vloei aangepas word na gelang van die laterale versnelling. Eksperimentele resultate bevestig dat 'n beduidende verbetering in bakrol moontlik is.
Dissertation (MEng)--University of Pretoria, 2012.
Mechanical and Aeronautical Engineering
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Books on the topic "Slow-roll"

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Hal Leonard Publishing Corporation (COR). Early Rock 'n' Roll Ballads: 52 Slow-Dance Hits. Hal Leonard Corporation, 2002.

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Maggiore, Michele. Inflation and primordial perturbations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.003.0012.

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Review of inflationary cosmology. Single-field slow-roll inflation. Large-field inflation and small-field inflation. Starobinsky model. Quantum field theory in curved space. Generation of primordial perturbations during inflation. Mukhanov-Sasaki equation. Scalar and tensor perturbations.
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Kachelriess, Michael. Inflation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0024.

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This chapter introduces inflation as a phase of nearly exponential expansion in the early universe. The slow-roll conditions are deribed and possible inflationary models are discussed. Reheating connects the end of inflation with the standard hot big-bang model. The spectrum of fluctuations generated by inflation is calculated and it is shown that it is nearly scale-invariant and Gaussian. The fluctuations have fixed phase relations on superhorizon scales that cause characteristic oscillations of the temperature fluctuations of the cosmic microwave background.
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Deruelle, Nathalie, and Jean-Philippe Uzan. Primordial quantum perturbations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0062.

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This chapter shows that fluctuations of quantum origin are generated during inflation and that this process supplies initial conditions compatible with the observations. These fluctuations are therefore an important prediction of inflationary models. The chapter thus begins with a study of perturbations during inflation, proceeding in a similar manner to the previous chapter by finding the perturbation of the energy–momentum tensor of the scalar field. Another method of deriving the equations of motion of the perturbations is to start from the action of general relativity coupled to a scalar field, and expand to second order in the metric and scalar field perturbations. The chapter then proceeds with the determination of the initial conditions and the slow-roll inflation.
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Book chapters on the topic "Slow-roll"

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Năstase, Horaţiu. "Slow-Roll Inflation." In Fundamental Theories of Physics, 111–22. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15077-8_9.

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Gasperini, Maurizio. "Inflazione “slow-roll”." In UNITEXT, 101–10. Milano: Springer Milan, 2012. http://dx.doi.org/10.1007/978-88-470-2484-7_5.

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Dimopoulos, Konstantinos. "Beyond Slow-Roll Inflation." In Introduction to Cosmic Inflation and Dark Energy, 171–203. First edition. | Boca Raton : CRC Press, 2020. | Series: Series in astronomy and astrophysics: CRC Press, 2020. http://dx.doi.org/10.1201/9781351174862-8.

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Anguelova, Lilia, Peter Suranyi, and L. C. Rohana Wijewardhana. "On Non-slow Roll Inflationary Regimes." In Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2, 161–71. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2179-5_11.

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Adams, Maurice L. "Large Steam Turbine Generator Turning-Gear Slow-Roll Journal Bearing Load Capacity." In Rotating Machinery Research and Development Test Rigs, 37–48. Boca Raton : Taylor & Francis, CRC Press, [2017]: CRC Press, 2017. http://dx.doi.org/10.1201/9781315116723-3.

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"Inflation in Slow Roll Regime." In Introduction to the Theory of the Early Universe, 291–311. World Scientific Publishing Company, 2011. http://dx.doi.org/10.1142/9789814322232_0012.

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Gong, Jinn-Ouk. "Modular Thermal Inflation Without Slow-Roll Approximation." In Particle Physics and Cosmology: The Fabric of Spacetime, 550. Elsevier, 2007. http://dx.doi.org/10.1016/s0924-8099(13)60030-x.

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Cordray, Richard. "A Treacherous Transition." In Watchdog, 205–16. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780197502990.003.0015.

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In November 2017, Cordray announced that he was stepping down. President Trump refused to recognize the Consumer Financial Protection Bureau’s deputy director as the interim leader, appointing one of his cabinet officers, Mick Mulvaney, to the post. Mulvaney, a sharp critic of the bureau, vowed a policy of inaction to slow the pace of enforcement and regulation. The chapter describes Mulvaney’s largely superficial efforts to undermine the bureau, his steps to roll back the payday lending rule, and his transfer of control a year later to the new confirmed director, Kathy Kraninger. It describes how the dynamics of federalism are helping protect consumers even in an era when the bureau has pulled back. And it discusses the bureau’s continuing work—including a further billion-dollar penalty against Wells Fargo for unfair and deceptive practices that greatly harmed consumers—and the importance of leadership in setting the bureau’s course.
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Conference papers on the topic "Slow-roll"

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DíAZ–HERRERA, ENRIQUE, and ALFREDO MACíAS. "INVERSE SLOW–ROLL PROBLEM: A MONTE CARLO APPROACH." In Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF). World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812704030_0196.

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Komeylian, Somayeh, and Farah Mohammadi. "Conical Swiss Roll Metamaterial Application for Slow-light Waveguides." In 2019 IEEE Canadian Conference of Electrical and Computer Engineering (CCECE). IEEE, 2019. http://dx.doi.org/10.1109/ccece43985.2019.9052397.

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Finelli, F., G. Marozzi, A. A. Starobinsky, G. P. Vacca, and G. Venturi. "Stochastic growth of quantum fluctuations during slow-roll inflation." In FRONTIERS OF FUNDAMENTAL PHYSICS: The Eleventh International Symposium. AIP, 2012. http://dx.doi.org/10.1063/1.4728003.

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Ingistov, Steve, and Michael Milos. "Slow-Roll of Natural Gas Compressors in a 420 MW Cogeneration Plant." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94246.

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This Paper describes the efforts required to operate two steam turbine-driven centrifugal natural gas compressors at significantly reduced rotative speeds. Natural gas is used to power a 420 MW combined cycle cogeneration plant. Normally, the plant uses natural gas fuel at supply line pressure and the two compressors are on idled standby. The goal of the project is to reduce motive steam consumption in the steam turbine driving the natural gas compressors. The present operating mode, or idle mode, is where both natural gas compressors recycle compressed gas via dedicated intercoolers. This mode of operation occurs about 95% of the time. The remaining 5% of the time is when natural gas compressors boost the trunk line pressure in order to deliver fuel to the gas turbine combustors. Both natural gas compressor trains are designed for rapid increase of rotative speed in case one natural gas compressor is shut down. In order to put a natural gas compressor on hot standby slow-roll condition, a special, dedicated slow roll line is proposed for the fine control of the rotative speed.
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JONES, H. F. "THE QUANTUM MECHANICS OF THE SLOW ROLL IN THE LINEAR DELTA EXPANSION." In Proceedings of the SEWM2000 Meeting. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799913_0037.

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ELLISTON, JOSEPH. "CONDITIONS FOR OBSERVABLE BI AND TRI-SPECTRA IN TWO-FIELD SLOW-ROLL INFLATION." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0212.

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Joy, Minu. "Reconstruction of the Inflationary Parameters from the Second Order General Slow-Roll Spectrum." In PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP, 2005. http://dx.doi.org/10.1063/1.2149754.

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Maalouf, Mel G. "Slow Speed Vibration Signal Analysis: If You Can’t Do It Slow, You Can’t Do It Fast." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-28252.

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For many people, the interpretation of vibration signals for a machine at running speed is complicated and foreign, and is considered an art in many circles. Interpreting the rich characteristics of the raw signals during run-up and coast down requires even more skill and experience. For some, interpreting the signals at slow speeds (sometimes called slow roll speeds) is so difficult that the signals are often ignored and discredited as not useful data. This paper will communicate the author’s experience in using this valuable, yet sometimes difficult, data to correlate and corroborate with high-speed data. This data and interpretation are used to understand the dynamic behavior of the machine while the forces on the rotor are driving the response characteristics at run up, full speed and coast down. In the sports arena, good coaches often say that if you cannot execute skills in slow motion, you likely won’t be able to execute them at normal speeds and absolutely not in high-pressure game situations. This is also true for vibration diagnostics: if you don’t do correct slow speed analysis, full speed and transient (startup and coast down) analysis may be misleading or just wrong. In this instance, the analyses and diagnostic calls that were made by using slow speed signal analysis include: Selecting Slow Roll Values, Shaft Surface Quality, Direction of Rotation, Rotor Bow (Gravity), Rotor Bow (Thermal), Locked up Coupling, Non-Concentric Coupling, Reverse Rotation. This paper will describe the methodologies for collecting data and the analysis of the data to make the above calls on specific examples experienced by the author and his colleagues.
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Ingistov, Steve, Michael Milos, and Rakesh K. Bhargava. "Slow-Roll of 40 MW Condensing-Extraction Steam Turbines in a 420 MW Cogeneration Plant." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68118.

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This paper describes efforts required to operate condensing-extraction steam turbine generators with flexible rotor design on a slow-roll (also called, true stand-by) mode of operation. This mode of operation became necessary as a result of changing steam demand from the refinery and the resulting decreased performance of the existing steam turbine generators and the associated economic losses for the cogeneration facility. Design modifications implemented to achieve slow-roll of steam turbine generators and produce maximum power output obtainable with new steam flow conditions without affecting reliability and availability of the entire cogeneration facility are discussed in this paper. Successful implementation of the proposed design approach was demonstrated through extensive field testing completed in the summer of 2011. A simple life cycle economic analysis shows that the payback period associated with the proposed design modifications implemented to two steam turbine generators at the plant is approximately six (6) months.
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10

Matos, Vini´cius L. F., Eric O. Ribeiro, Alexandre N. Simos, and Sergio H. Sphaier. "2nd Order Pitch and Roll Slow Motions of a Semi-Submersible Platform: Full Scale Measurements and Theoretical Predictions Comparative Study." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20898.

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In October 2007, the semi-submersible platform PETROBRAS 52 (P-52) was installed in Campos Basin (Roncador Field) offshore Brazil. This Unit is moored through 16 lines in taut-leg configuration in a water depth around 1.800m. Its displacement at the operational draft (T = 27.5m) is 80.986t. The maximum production capacity is 180.000bpd. During the design phase of this floating system, a model test campaign was performed in a wave basin and slow drift motions in the vertical plane (heave, roll and pitch) were identified. It is known that resonant responses vary considerably with the damping loads. As these loads are affected by scale effects, by that time, it was a doubt if this phenomenon would happen during the platform operation. Since June 2008, PETROBRAS has been monitoring P-52 motions with the use of accelerometers and rate-gyros. Through spectral analysis of the measured signals, it was possible to verify the presence of slow motions with frequencies around the natural frequencies of roll and pitch during almost the whole monitoring period. Sometimes, the 2nd order amplitudes were even grater than the 1st order ones. Furthermore, the environmental conditions have also been monitored through wave radars, ADCPS (current) and meteorological stations (wind) in the vicinity of P-52 location, making the excitation loads identification possible. A comparative study confronting full-scale measurements and theoretical predictions was performed. First and second-order forces and responses were calculated using WAMIT® second order module. This study permitted to estimate the full scale damping values of this offshore system (hull plus mooring and riser lines) for one of the environmental conditions measured. This work demonstrates the importance of considering the resonant roll and pitch motions in the seakeeping analysis of large-volume semi-submersible platforms, contributing with an important feedback to future designs.
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