A simple classical approach for the melting temperature of inert-gas nanoparticles

Like the metal and semiconductor nanoparticles, the melting temperature of free inert-gas nanoparticles decreases with decreasing size. The variation is linear with the inverse of the particle size for large nanoparticles and deviates from the linearity for small nanoparticles. The decrease in the melting temperature is slower for free nanoparticles with non-wetting surfaces, while the decrease is faster for nanoparticles with wetting surfaces. Though the depression of the melting temperature has been reported for inert-gas nanoparticles in porous glasses, superheating has also been observed when the nanoparticles are embedded in some matrices. By using a simple classical approach, the influence of size, geometry and the matrix on the melting temperature of nanoparticles is understood quantitatively and shown to be applicable for other materials. It is also shown that the classical approach can be applied to understand the size-dependent freezing temperature of nanoparticles.

The Innocent Pleasure : A Study on Luther's theology of music

The aim of the study is to examine Luther s theology of music from the standpoint of pleasure. The theological assessment of musical pleasure is related to two further questions: the role of emotions in Christianity and the apprehension of beauty. The medieval discussion of these themes is portrayed in the background chapter. Significant traits were: the suspicion felt towards sensuous gratification in music, music as a mathematical discipline, the medieval theory of emotions informed by Stoic apatheia and Platonic-Aristotelian metriopatheia, the notion of beauty as an attribute of God, medieval aesthetics as the aesthetic of proportion and the aesthetic of light and the emergence of the Aristotelian view of science that is based on experience rather than speculation. The treatment of Luther s theology of music is initiated with the notion of gift. Luther says that music is the excellent (or even the best) gift of God. This has sometimes been understood as a mere music-lover s enthusiasm. Luther is, however, not likely to use the word gift loosely. His theology can be depicted as a theology of gift. The Triune God is categorically giving. The notion of gift also includes reciprocity. When we receive the gifts of God, it evokes praise in us. Praising God is predominantly a musical phenomenon. The particular benefit of music in Luther s thought is that it can move human emotions. This emphasis is connected to the overall affectivity of Luther s theology. In contrast to the medieval discussion, Luther ascribes to saints not just emotions but particularly warm and tender affections. The power of music is related to the auditory and vocal character of the Word. Faith comes through hearing the Word that is at once musical and affective perception. Faith is not a mere opinion but the affective trust of the heart. Music can touch the human heart and persuade with its sweetness, like the good news of the Gospel. Music allows us to perceive Luther s theology as a theology of joy and pleasure. Joy is for Luther a gift of the Holy Spirit that fills the heart and bursts out in voice and gestures. Pleasure appears to be a central aspect to Luther s theology. The problem of the Bondage of the Will is precisely the human inability to feel pleasure in God s will. To be pleased in the visible and tangible creation is not something a Christian should avoid. On the contrary, if one is not pleased with the world that God has created, it is a sign of unbelief and ingratitude. The pleasure of music is aesthetic perception. This in turn necessitates the investigation of Luther s aesthetics. Aesthetic evaluation is not just a part of Luther s thought. Eventually his theology as a whole could be portrayed in aesthetic terms. Luther s extremely positive appreciation of music illutrates his theology as an affective acknowledgement of the goodness of the Creation and faith as an aesthetic contentment.

On Musical Self-Similarity : Intersemiosis as Synecdoche and Analogy

Self-similarity, a concept taken from mathematics, is gradually becoming a keyword in musicology. Although a polysemic term, self-similarity often refers to the multi-scalar feature repetition in a set of relationships, and it is commonly valued as an indication for musical coherence and consistency . This investigation provides a theory of musical meaning formation in the context of intersemiosis, that is, the translation of meaning from one cognitive domain to another cognitive domain (e.g. from mathematics to music, or to speech or graphic forms). From this perspective, the degree of coherence of a musical system relies on a synecdochic intersemiosis: a system of related signs within other comparable and correlated systems. This research analyzes the modalities of such correlations, exploring their general and particular traits, and their operational bounds. Looking forward in this direction, the notion of analogy is used as a rich concept through its two definitions quoted by the Classical literature: proportion and paradigm, enormously valuable in establishing measurement, likeness and affinity criteria. Using quantitative qualitative methods, evidence is presented to justify a parallel study of different modalities of musical self-similarity. For this purpose, original arguments by Benoît B. Mandelbrot are revised, alongside a systematic critique of the literature on the subject. Furthermore, connecting Charles S. Peirce s synechism with Mandelbrot s fractality is one of the main developments of the present study. This study provides elements for explaining Bolognesi s (1983) conjecture, that states that the most primitive, intuitive and basic musical device is self-reference, extending its functions and operations to self-similar surfaces. In this sense, this research suggests that, with various modalities of self-similarity, synecdochic intersemiosis acts as system of systems in coordination with greater or lesser development of structural consistency, and with a greater or lesser contextual dependence.

Poetics of the Nameless Middle : Japan and the West in Philosophy and Music of the Twentieth Century

This study investigates the affinities between philosophy, aesthetics, and music of Japan and the West. The research is based on the structuralist notion (specifically, on that found in the narratology of Algirdas Julius Greimas), that the universal grammar functions as an abstract principle, underlying all kinds of discourse. The study thus aims to demonstrate how this grammar is manifested in philosophical, aesthetic, and musical texts and how the semiotic homogeneity of these texts can be explained on this basis. Totality and belongingness are the key philosophical concepts presented herein. As distinct from logocentrism manifested as substantializations of the world of ideas , god or mind, which was characteristic of previous Western paradigms, totality was defined as the coexistence of opposites. Thus Heidegger, Merleau-Ponty, Dōgen, and Nishida often illustrated it by identifying fundamental polarities, such as being and nothing, seer and seen, truth and illusion, etc. Accordingly, totality was schematically presented as an all-encompassing middle of the semiotic square. Similar values can be found in aesthetics and arts. Instead of dialectic syntagms, differentiated unity is considered as paradigmatic and the study demonstrates how this is manifested in traditional Japanese and Heideggerian aesthetics, as well as in the aspects of music of Claude Debussy and Tōru Takemitsu.

Making Music, Making Muslims : A Case Study of Islamic Hip Hop and the Discursive Construction of Muslim Identities on the Internet

Hip-hopin juuret juontavat 1970-luvulle Yhdysvaltoihin, mutta hip-hop-kulttuuri ja musiikkityyli ovat sen jälkeen levinneet ympäri maailmaa osana globalisaatiokehitystä. Myös monet nuoret muslimit tekevät nykyään hip-hop-musiikkia, ja yhä useampi tuo myös sanoituksiinsa vaikutteita Islamista ja elämästään muslimina. Musiikin asema on islamissa varsin kiistelty, eikä sitä ole selvästi sallittu (halal) tai kielletty (haram) muslimeilta. Muslimien tekemää hip-hoppia on toistaiseksi tutkittu hyvin vähän. Tutkielmassa tarkastellaan diskurssianalyysin keinoin, miten tapaustutkimuksena toimivalla muslimhiphop.com-internetsivustolla argumentoidaan ja konstruoidaan käsityksiä muslimi-identiteetistä. Teoreettisena ja analyyttisenä viitekehyksenä toimii sosiaalikonstruktivistinen näkemys identiteetistä kontekstisidonnaisena sekä puheessa ja teksteissä diskursiivisesti rakentuvana. Tutkielma kyseenalaistaa aiempien tutkimusten oletuksen hip-hopista vaikutuksiltaan yksinomaan positiivisena muslimi-identiteetille sekä muslimeja yhdentävänä tekijänä. Aineisto on kerätty edellä mainitulta sivustolta syksyn 2010 ja kevään 2011 aikana, josta analyysiin on rajattu vain itse sivusto ja sen hip-hoppia käsittelevät osiot. Sivusto ja sen perustaja ovat yhdysvaltalaisia, mutta sivustolla esiteltävien artistien tausta on hyvin monikulttuurinen. Moni on myös maahanmuuttajana nykyisessä kotimaassaan. Aineistossa esiintyviä teemoja ja diskursseja eritellään ja analysoidaan tutkielmassa lainauksien avulla. Sivuston periaatteissa ja artistien esillepääsyn kriteereissä määritellään tarkasti asennoituminen Islamin ja musiikin yhdistämiseen: mikäli sanoitukset ja artistit noudattavat Islamin oppeja, on muslimin sallittua tehdä ja kuunnella tällaista musiikkia. Islam-aiheisen hip-hopin perustellaan olevan ennen kaikkea vaihtoehto valtavirran hip-hopille, jota konstruoidaan aineistossa moraalisesti arveluttavaksi. Hip-hopille sekä muslimeille sallittuja ja kiellettyjä elementtejä erottelevan halal-haram-diskurssin ohella aineistosta nousee esiin opetusdiskurssi. Muslimien tekemän hip-hopin perustellaan edistävän Islamin opettamista erityisesti nuorille muslimeille ja siten vahvistavan positiivista muslimi-identiteettiä. Myös positiivisen muutoksen diskurssia käytetään aineistossa runsaasti liittyen mm. muslimiyhteisöihin sekä muslimeihin kohdistuviin taloudellisiin ja sosiaalipoliittisiin epäkohtiin ja stereotypioihin; musiikin sisältöä ja sen tekemistä perustellaan sen voimalla muuttaa asioita parempaan suuntaan. Monet muslimiartistit kamppailevat yhdistääkseen toisaalta Islamin ja taiteellisen luovuuden ja ilmaisuvapauden, toisaalta menestyäkseen kaupallisesti unohtamatta uskonnollista vakaumustaan. Monilla heistä hip-hop on ollut vahvasti läsnä kasvuympäristössä, mutta sen yhdistäminen Islamin periaatteisiin aiheuttaa kysymyksiä ja kyseenalaistuksia oman musiikillisen ja uskonnollisen identiteetin muodosta ja sisällöstä. Aineiston perusteella monet muslimiartistit ja Islam-aiheista hip-hoppia kuuntelevat muslimit joutuvat jatkuvasti puolustamaan musiikkia siihen kielteisesti suhtautuville muslimeille sekä ei-muslimeille, jotka vierastavat sen uskonnollisuutta. Muslimi-identiteettiä neuvotellaan jatkuvasti, ja se näyttäytyy aineistossa moniulotteisena ja tilanteisesti rakentuvana. Avainsanat: Muslimit, Islam, hip-hop, identiteetti, Internet, diskurssi, diskurssianalyysi

Activation barriers for d.c. conductivity in ionic glasses: Classical calculations using the small-cluster approximation

A small-cluster approximation has been used to calculate the activation barriers for the d.c. conductivity in ionic glasses. The main emphasis of this approach is on the importance of the hitherto ignored polarization energy contribution to the total activation energy. For the first time it has been demonstrated that the d.c. conductivity activation energy can be calculated by considering ionic migration to a neighbouring vacancy in a smali cluster of ions consisting of face-sharing anion polyhedra. The activation energies from the model calculations have been compared with the experimental values in the case of highly modified lithium thioborate glasses.

E. C. G. Sudarshan and Symmetry in Classical Dynamics, Optics and Quantum Mechanics

We review work initiated and inspired by Sudarshan in relativistic dynamics, beam optics, partial coherence theory, Wigner distribution methods, multimode quantum optical squeezing, and geometric phases. The 1963 No Interaction Theorem using Dirac's instant form and particle World Line Conditions is recalled. Later attempts to overcome this result exploiting constrained Hamiltonian theory, reformulation of the World Line Conditions and extending Dirac's formalism, are reviewed. Dirac's front form leads to a formulation of Fourier Optics for the Maxwell field, determining the actions of First Order Systems (corresponding to matrices of Sp(2,R) and Sp(4,R)) on polarization in a consistent manner. These groups also help characterize properties and propagation of partially coherent Gaussian Schell Model beams, leading to invariant quality parameters and the new Twist phase. The higher dimensional groups Sp(2n,R) appear in the theory of Wigner distributions and in quantum optics. Elegant criteria for a Gaussian phase space function to be a Wigner distribution, expressions for multimode uncertainty principles and squeezing are described. In geometric phase theory we highlight the use of invariance properties that lead to a kinematical formulation and the important role of Bargmann invariants. Special features of these phases arising from unitary Lie group representations, and a new formulation based on the idea of Null Phase Curves, are presented.

Finite data performance of MUSIC and minimum norm methods

In the direction of arrival (DOA) estimation problem, we encounter both finite data and insufficient knowledge of array characterization. It is therefore important to study how subspace-based methods perform in such conditions. We analyze the finite data performance of the multiple signal classification (MUSIC) and minimum norm (min. norm) methods in the presence of sensor gain and phase errors, and derive expressions for the mean square error (MSE) in the DOA estimates. These expressions are first derived assuming an arbitrary array and then simplified for the special case of an uniform linear array with isotropic sensors. When they are further simplified for the case of finite data only and sensor errors only, they reduce to the recent results given in [9-12]. Computer simulations are used to verify the closeness between the predicted and simulated values of the MSE.

Freezing of classical fluids in a quenched random potential

The phase diagram of a hard-sphere fluid in the presence of a random pinning potential is studied analytically and numerically. In the analytic work, replicas are introduced for averaging over the quenched disorder, and the hypernetted chain approximation is used to calculate density correlations in the replicated liquid. The freezing transition of the liquid into a nearly crystalline state is studied using a density-functional approach, and the liquid to glass transition is studied using a phenomenological replica symmetry breaking approach. In the numerical work, local minima of a discretized version of the Ramakrishnan-Yussouff free-energy functional are located and the phase diagram in the density-disorder plane is obtained from an analysis of the relative stability of these minima. Both approaches lead to similar results for the phase diagram. The first-order liquid to crystalline solid transition is found to change to a continuous liquid to glass transition as the strength of the disorder is increased above a threshold value.

Describing Hand Postures: Inspirations from Classical Mudras

The objective of this work is to develop a systematic methodology for describing hand postures and grasps which is independent of the kinematics and geometry of the hand model which in turn can be used for developing a universal referencing scheme. It is therefore necessary that the scheme be general enough to describe the continuum of hand poses. Indian traditional classical dance form, “Bharathanatyam”, uses 28 single handed gestures, called “mudras”. A Mudra can be perceived as a hand posture with a specific pattern of finger configurations. Using modifiers, complex mudras could be constructed from relatively simple mudras. An adjacency matrix is constructed to describe the relationship among mudras. Various mudra transitions can be obtained from the graph associated with this matrix. Using this matrix, a hierarchy of the mudras is formed. A set of base mudras and modifiers are used for describing how one simple posture of hand can be transformed into another relatively complex one. A canonical set of predefined hand postures and modifiers can be used in digital human modeling to develop standard hand posture libraries.