195,813 research outputs found

    SU(2) potentials in quantum gravity

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    We present investigations of the potential between static charges from a simulation of quantum gravity coupled to an SU(2) gauge field on 63×46^{3}\times 4 and 83×48^{3}\times 4 simplicial lattices. In the well-defined phase of the gravity sector where geometrical expectation values are stable, we study the correlations of Polyakov loops and extract the corresponding potentials between a source and sink separated by a distance RR. In the confined phase, the potential has a linear form while in the deconfined phase, a screened Coulombic behavior is found. Our results indicate that quantum gravitational effects do not destroy confinement due to non-abelian gauge fields.Comment: 3 pages, contribution to Lattice 94 conference, uuencoded compressed postscript fil

    Multicanonical Simulations Step by Step

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    The purpose of this article is to provide a starter kit for multicanonical simulations in statistical physics. Fortran code for the qq-state Potts model in d=2,3,...d=2, 3,... dimensions can be downloaded from the Web and this paper describes simulation results, which are in all details reproducible by running prepared programs. To allow for comparison with exact results, the internal energy, the specific heat, the free energy and the entropy are calculated for the d=2d=2 Ising (q=2q=2) and the q=10q=10 Potts model. % in a temperature range from T=T=\infty down to sufficiently low % temperatures, such that the groundstates are included in the sampling. Analysis programs, relying on an all-log jackknife technique, which is suitable for handling sums of very large numbers, are introduced to calculate our final estimators

    Totalitarianism and geography: L.S. Berg and the defence of an academic discipline in the age of Stalin

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    In considering the complex relationship between science and politics, the article focuses upon the career of the eminent Russian scholar, Lev Semenovich Berg (1876–1950), one of the leading geographers of the Stalin period. Already before the Russian Revolution, Berg had developed a naturalistic notion of landscape geography which later appeared to contradict some aspects of Marxist–Leninist ideology. Based partly upon Berg's personal archive, the article discusses the effects of the 1917 revolution, the radical changes which Stalin's cultural revolution (from the late 1920s) brought upon Soviet science, and the attacks made upon Berg and his concept of landscape geography thereafter. The ways in which Berg managed to defend his notion of geography (sometimes in surprisingly bold ways) are considered. It is argued that geography's position under Stalin was different from that of certain other disciplines in that its ideological disputes may have been regarded as of little significance by the party leaders, certainly by comparison with its practical importance, thus providing a degree of ‘freedom’ for some geographers at least analogous to that which has been described by Weiner (1999. A little corner of freedom: Russian nature protection from Stalin to Gorbachev. Berkeley: University of California Press) for conservationists. It is concluded that Berg and others successfully upheld a concept of scientific integrity and limited autonomy even under Stalinism, and that, in an era of ‘Big Science’, no modernizing state could or can afford to emasculate these things entirely

    Normalized entropy density of the 3D 3-state Potts model

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    Using a multicanonical Metropolis algorithm we have performed Monte Carlo simulations of the 3D 3-state Potts model on L3L^3 lattices with L=20, 30, 40, 50. Covering a range of inverse temperatures from βmin=0\beta_{\min}=0 to βmax=0.33\beta_{\max}=0.33 we calculated the infinite volume limit of the entropy density s(β)s(\beta) with its normalization obtained from s(0)=ln3s(0)=\ln 3. At the transition temperature the entropy and energy endpoints in the ordered and disordered phase are estimated employing a novel reweighting procedure. We also evaluate the transition temperature and the order-disorder interface tension. The latter estimate increases when capillary waves are taken into account.Comment: 5 pages, 4 figure

    Lagrangian one-particle velocity statistics in a turbulent flow

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    We present Lagrangian one-particle statistics from the Risoe PTV experiment of a turbulent flow. We estimate the Lagrangian Kolmogorov constant C0C_0 and find that it is affected by the large scale inhomogeneities of the flow. The pdf of temporal velocity increments are highly non-Gaussian for small times which we interpret as a consequence of intermittency. Using Extended Self-Similarity we manage to quantify the intermittency and find that the deviations from Kolmogorov 1941 similarity scaling is larger in the Lagrangian framework than in the Eulerian. Through the multifractal model we calculate the multifractal dimension spectrum.Comment: 22 pages, 14 figure

    Ideal Theory and "Ought Implies Can"

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    When we can’t live up to the ultimate standards of morality, how can moral theory give us guidance? We can distinguish between ideal and non-ideal theory to see that there are different versions of the voluntarist constraint, ‘ought implies can.’ Ideal moral theory identifies the best standard, so its demands are constrained by one version. Non-ideal theory tells us what to do given our psychological and motivational shortcomings and so is constrained by others. Moral theory can now both provide an ultimate standard and give us guidance; this view also gives us new insights into demandingness and blame

    Britain, industry and perceptions of China : Matthew Boulton, 'useful knowledge' and the Macartney Embassy to China 1792–94

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    Global history has debated the emergence of a divergence in economic growth between China and the West during the eighteenth century. The Macartney Embassy, 1792–94, the first British embassy to China, occurring as it did at the end of the eighteenth century, was an event which revealed changing perceptions of China and the Chinese by different British interest groups from government, trade, industry and enlightened opinion. Many histories of the embassy recount failures of diplomacy and cultural misconception, or divergent ideas of science. This article examines attitudes of British industry to the embassy through the part played in its preparations by the Birmingham industrialist, Matthew Boulton, and revealed in correspondence in the Matthew Boulton Papers. The article uncovers debate among different interest groups over the objects and skilled personnel to be taken on the embassy. Were the objects purveyors of trade or tribute, or of ‘useful knowledge’ and ‘industrial enlightenment’

    Integral representation of some functions related to the Gamma function

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    We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log Phi(x) are Stieltjes transforms

    Effective Altruism: How Big Should the Tent Be?

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    The effective altruism movement (EA) is one of the most influential philosophically savvy movements to emerge in recent years. Effective Altruism has historically been dedicated to finding out what charitable giving is the most overall-effective, that is, the most effective at promoting or maximizing the impartial good. But some members of EA want the movement to be more inclusive, allowing its members to give in the way that most effectively promotes their values, even when doing so isn’t overall-effective. When we examine what it means to give according to one’s values, I argue, we will see that this is both inconsistent with what EA is like now and inconsistent with its central philosophical commitment to an objective standard that can be used to critically analyze one’s giving. While EA is not merely synonymous with act utilitarianism, it cannot be much more inclusive than it is right now
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