2,802 research outputs found

    Diffusion and rheology in a model of glassy materials

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    We study self-diffusion within a simple hopping model for glassy materials. (The model is Bouchaud's model of glasses [J.-P. Bouchaud, J. Physique I 2, 1705 (1992)], as extended to describe rheological properties [P. Sollich, F. Lequeux, P. Hebraud and M.E. Cates, Phys. Rev. Lett. 78, 2020 (1997)].) We investigate the breakdown, near the glass transition, of the (generalized) Stokes-Einstein relation between self-diffusion of a tracer particle and the (frequency-dependent) viscosity of the system as a whole. This stems from the presence of a broad distribution of relaxation times of which different moments control diffusion and rheology. We also investigate the effect of flow (oscillatory shear) on self-diffusion and show that this causes a finite diffusivity in the temperature regime below the glass transition (where this was previously zero). At higher temperatures the diffusivity is enhanced by a power law frequency dependence that also characterises the rheological response. The relevance of these findings to soft glassy materials (foams, emulsions etc.) as well as to conventional glass-forming liquids is discussed.Comment: 39 page (double spaced), 2 figure

    Thermal fluctuations in the lattice Boltzmann method for non-ideal fluids

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    We introduce thermal fluctuations in the lattice Boltzmann method for non-ideal fluids. A fluctuation-dissipation theorem is derived within the Langevin framework and applied to a specific lattice Boltzmann model that approximates the linearized fluctuating Navier-Stokes equations for fluids based on square-gradient free energy functionals. The obtained thermal noise is shown to ensure equilibration of all degrees of freedom in a simulation to high accuracy. Furthermore, we demonstrate that satisfactory results for most practical applications of fluctuating hydrodynamics can already be achieved using thermal noise derived in the long wavelength-limit.Comment: 15 pages, 5 figure

    He Started the Whole World Singing a Song

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    Throughout history, people from a variety of backgrounds have commented on the relationship between music and language. Several say that music transcends language; some refer to music as being another language; others believe music actually speaks. In spite of a diversity of responses, there is still a collective sense that music and language are intriguingly related—a profound, intuitive awareness of some type of bonding agent between the two. Music has also been perceived throughout history to possess meaning and power, both on a grand, cosmic level and an anthropic, human level. For the Greek philosopher Plato, music acted as something that “[implanted] cosmic harmony into the soul of humans,” while in the Old Testament of the Bible, “[w]henever the spirit from God troubled Saul, David would pick up his harp and play, and Saul would then be relieved, feel better.” Music moves listeners powerfully and communicates meaning in ways that are often difficult or impossible to express in words. In this paper, I wish to explore the essence of these musical moments and attempt to articulate why they occur from a theological framework. This framework will consist of demonstrating a connection between language and music, discussing how music is able to possess meaning, and showing that throughout the Bible, people have responded to the transcendent and immanent presence of the Triune God working in and through creation musically. With this framework in place, I will conclude this paper by discussing how music has the capacity to reveal three essential qualities of what it means to be fully human in a world where God is fully present: hope, faith, and love

    The Persistence of Memory

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    On the Power of Music: Using \u27Cosmos\u27 and \u27Anthropos\u27 to Articulate a Holistic Approach to Discussing the Power of Music

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    Throughout history music has played an integral role in shaping both societies at large and individuals who are a part of these societies. Many of these individuals have sought not only to enjoy music by listening to it from an aesthetic paradigm, but by understanding it from a metaphysical one, probing its sonic depths and studying its emotive qualities, starting with the doctrines of music proposed by ancient Greek philosophers. However, from the doctrines of music in the ancient era up to the doctrines of music in the baroque era, one can observe a shift in the way music was perceived metaphysically. In spite of this shift, there remained a unifying idea: music moves. In this paper, I will attempt to show where this shift in musical thought occurred in history and explain its significance for present day lovers of music. By understanding the impact of this paradigm shift and having a more accurate way of approaching the perception of music in general, one is able to be more effective in realizing and appreciating the power of music in everyday life

    On the Power of Music: Using \u27Cosmos\u27 and \u27Anthropos\u27 to Articulate a Holistic Approach to Discussing the Power of Music

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    Music is an experience that is universal to all of mankind, no matter one’s race, gender, culture, or socioeconomic status. Whether it’s beholding one of Mahler’s symphonies in Carnegie Hall or listening to the “No. 1 Top Single” on iTunes using headphones, one truth is evident: music moves. The statement “music moves” inherently possesses an implication of the \u27cosmic\u27 and the \u27anthropic’ nature of music – a holistic union of both mystery and humanity. This one truth has been the subject of an ongoing 2,000 year-old discussion that attempts to articulate the powerful reaction that results from experiencing music in all forms, beginning with the ancient Greeks of antiquity who possessed a cosmologically-grounded explanation to the power of music. However, as time moved forward, this cosmological, mysterious paradigm of the power of music slowly began to incorporate explainable and tangible anthropological articulations of the power of the music with respect to the human emotions, senses, and thoughts. This incorporation of anthropos reached a climax in the Renaissance era with the ushering in of humanism, which stripped away the mysterious and replaced the cosmologically-grounded explanation of music with the anthropologically-grounded view of naturalism. Since this profound departure from cosmos, society seems to be at a loss in articulating accurate reactions to music. This paper offers two proposals with respect to musical thought, one for society at large and one for the individual. I assert in this paper that society, in general, needs to return to an appreciation of the cosmos, the answerable, and the mysterious in nature, and that the individual needs to commence thinking holistically with respect to music—incorporating both cosmic and anthropic thought. I have reached my conclusions, assertions, and propositions based on this thesis by critically analyzing both primary and secondary resources in the form of the historical documentation methodology

    Songs

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