{"title":"The early years of quantum Monte Carlo (2): finite-temperature simulations","authors":"Michel Mareschal","doi":"10.1140/epjh/s13129-021-00026-5","DOIUrl":"10.1140/epjh/s13129-021-00026-5","url":null,"abstract":"<div><p>In this article, we present the second part of our historical survey on quantum Monte Carlo methods. We focus on the simulations performed at a finite temperature and based on Feynman’s path-integral formulation of quantum mechanics. We introduce the method and insist on the central role played by the description of the transition to superfluidity for Helium 4.</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77603521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"How to model phase transitions? The changing approaches 1937–1970","authors":"Martin Niss","doi":"10.1140/epjh/s13129-021-00024-7","DOIUrl":"10.1140/epjh/s13129-021-00024-7","url":null,"abstract":"<div><p>The paper aims at characterising and documenting a fundamental change in how phase transitions were modelled microscopically in the period 1937–1970. At first, physicists took what will be called <i>a naturalistic approach</i> to phase transitions such as the condensation of gases and the Curie point of ferromagnets. Here the purpose was to explain the phenomenon in question, i.e., to show that a model exhibits the same features as the phenomenon. The scope of this approach was broad, as the goal was to account for several aspects of the phenomenon. The employed model should be very realistic and close to the foundational theory, be it classical or quantum mechanics. In the 1960s, the physicists used an alternative approach that they termed <i>a caricature approach. </i>This approach not only required explanation in the above sense but also understanding of the physical phenomenon, i.e. insights into why the phenomenon behaves as it does. The scope was limited to certain aspects of the phenomenon, such as the behaviour near the critical point. The caricature approach used a hierarchy of models, ranging from realistic ones over more simplified models to models that were mere caricatures of the system in question. Hence, the two approaches represent very different orientations when it comes to the purpose and scope, the organisation of the resulting theories, and what models are acceptable.\u0000</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78059265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Henry Cavendish and the effect of gravity on propagation of light: a postscript","authors":"Karl-Heinz Lotze, Silvia Simionato","doi":"10.1140/epjh/s13129-021-00027-4","DOIUrl":"10.1140/epjh/s13129-021-00027-4","url":null,"abstract":"<div><p>This paper is devoted to two hitherto unpublished original documents by Henry Cavendish (1731–1810) which provide insight into his calculations of the deflection of light by isolated celestial bodies. Together with a transcription of these documents, we comment on their contents in the present-day language of physics. Moreover, we compare them with a paper by Johann Georg von Soldner (1776–1833) on the same subject.\u0000</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjh/s13129-021-00027-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73613191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chronicle of the discovery of the back-bending phenomenon in atomic nuclei: a personal recollection 50 years on","authors":"Hans Ryde","doi":"10.1140/epjh/s13129-021-00023-8","DOIUrl":"10.1140/epjh/s13129-021-00023-8","url":null,"abstract":"<div><p>A chronicle describing the historical context and the development of ideas and experiments leading to the discovery of the back-bending phenomenon in rapidly rotating atomic nuclei some 50 years ago is presented. The moment of inertia of some atomic nuclei increases anomalously at a certain rotational frequency, revealing important clues to our understanding of nuclear structure. I highlight the decisive interactions and contacts between experimentalists and theorists, which created the right environment, allowing for the revelation of an undetected phenomenon in Nature. Finally, I reflect on the key points allowing for the discovery and particularly point to the importance of systematic surveys, which in this case investigated the energy levels in heavy nuclei of a large sample of elements, as well as to the accuracy of the measurements of the ground state levels made at the time.</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjh/s13129-021-00023-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74535445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A road map for Feynman’s adventures in the land of gravitation","authors":"Marco Di Mauro, Salvatore Esposito, Adele Naddeo","doi":"10.1140/epjh/s13129-021-00028-3","DOIUrl":"10.1140/epjh/s13129-021-00028-3","url":null,"abstract":"<div><p>Richard P. Feynman’s work on gravitation, as can be inferred from several published and unpublished sources, is reviewed. Feynman was involved with this subject at least from late 1954 to the late 1960s, giving several pivotal contributions to it. Even though he published only three papers, much more material is available, beginning with the records of his many interventions at the Chapel Hill conference in 1957, which are here analyzed in detail, and show that he had already considerably developed his ideas on gravity. In addition, he expressed deep thoughts about fundamental issues in quantum mechanics which were suggested by the problem of quantum gravity, such as superpositions of the wave functions of macroscopic objects and the role of the observer. Feynman also lectured on gravity several times. Besides the famous lectures given at Caltech in 1962–1963, he extensively discussed this subject in a series of lectures delivered at the Hughes Aircraft Company in 1966–1967, whose focus was on astronomy and astrophysics. All this material allows to reconstruct a detailed picture of Feynman’s ideas on gravity and of their evolution until the late sixties. According to him, gravity, like electromagnetism, has quantum foundations, therefore general relativity has to be regarded as the classical limit of an underlying quantum theory; this quantum theory should be investigated by computing physical processes, as if they were experimentally accessible. The same attitude is shown with respect to gravitational waves, as is evident also from an unpublished letter addressed to Victor F. Weisskopf. In addition, an original approach to gravity, which closely mimics (and probably was inspired by) the derivation of the Maxwell equations given by Feynman in that period, is sketched in the unpublished Hughes lectures.</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75043396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Three Pathbreaking papers of 1966 revisited: their relevance to certain aspects of cosmological creation today","authors":"Jayant V. Narlikar","doi":"10.1140/epjh/s13129-021-00025-6","DOIUrl":"10.1140/epjh/s13129-021-00025-6","url":null,"abstract":"<div><p>This article recalls three papers published by Fred Hoyle and Jayant V. Narlikar consecutively in 1966 in <i>Proceedings of the Royal Society, London</i>. These papers were largely overlooked at the time but a look back today more than fifty years later shows how relevant they might be even today. Fred Hoyle, one of the most imaginative astrophysicists of the twentieth century, gives examples of how his mind functioned running far ahead of the conventional views of the time.</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82225448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The thermodynamics of black holes: from Penrose process to Hawking radiation","authors":"Carla Rodrigues Almeida","doi":"10.1140/epjh/s13129-021-00022-9","DOIUrl":"10.1140/epjh/s13129-021-00022-9","url":null,"abstract":"<div><p>In 1969, Roger Penrose proposed a mechanism to extract rotational energy from a Kerr black hole. With this, he inspired two lines of investigation in the years after. On the one side, the Penrose process, as it became known, allowed a comparison between black-hole mechanics and thermodynamics. On the other, it opened a path to a quantum description of those objects. This paper provides a novel take on the events that led to the rise of the thermodynamic theory of black holes, taking as a starting point the Penrose process. It studies the evolution of the research conducted independently by Western and Soviet physicists on the topic, culminating in Stephen Hawking’s groundbreaking discovery that black holes should radiate.\u0000</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83127476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comment on Clebsch’s 1857 and 1859 papers on using Hamiltonian methods in hydrodynamics","authors":"Gérard Grimberg, Emanuele Tassi","doi":"10.1140/epjh/s13129-021-00014-9","DOIUrl":"10.1140/epjh/s13129-021-00014-9","url":null,"abstract":"<div><p>The present paper is a companion of two translated articles by Alfred Clebsch, titled “On a general transformation of the hydrodynamical equations” and “On the integration of the hydrodynamical equations” (https://doi.org/10.1140/epjh/s13129-021-00015-8, https://doi.org/10.1140/epjh/s13129-021-00016-7). The originals were published in the “Journal für die reine and angewandte Mathematik” (1857 and 1859). Here we provide a detailed critical reading of these articles, which analyzes methods, and results of Clebsch. In the first place, we try to elucidate the algebraic calculus used by Clebsch in several parts of the two articles that we believe to be the most significant ones. We also provide some proofs that Clebsch did not find necessary to explain, in particular concerning the variational principles stated in his two articles and the use of the method of Jacobi’s Last Multiplier. When possible, we reformulate the original expressions by Clebsch in the language of vector analysis, which should be more familiar to the reader. The connections of the results and methods by Clebsch with his scientific context, in particular with the works of Carl Jacobi, are briefly discussed. We emphasize how the representations of the velocity vector field conceived by Clebsch in his two articles, allow for a variational formulation of hydrodynamics equations in the steady and unsteady case. In particular, we stress that what is nowadays known as the “Clebsch variables”, permit to give a canonical Hamiltonian formulation of the equations of fluid mechanics. We also list a number of further developments of the theory initiated by Clebsch, which had an impact on presently active areas of research, within such fields as hydrodynamics and plasma physics.</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76834407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a general transformation of the hydrodynamical equations","authors":"A. Clebsch","doi":"10.1140/epjh/s13129-021-00015-8","DOIUrl":"10.1140/epjh/s13129-021-00015-8","url":null,"abstract":"","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82335564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the integration of the hydrodynamical equations","authors":"A. Clebsch","doi":"10.1140/epjh/s13129-021-00016-7","DOIUrl":"10.1140/epjh/s13129-021-00016-7","url":null,"abstract":"","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":"46 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83925006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}