Crystalline polymers build up complex structural entities, which blend amorphous and crystalline domains at a very small scale (≈ 10 nm). The coexistence of domains, which are of molecular, dimensions stems from the fact that the chains tend to fold upon crystallisation: this chain folding is a characteristic feature of polymers, and creates an organisational scale which is unique to polymers. ...

This chapter introduces calculational methods that can be used for abinitio structure prediction in multicomponent alloy systems, with an emphasis on concepts relevant to high entropy alloys. Specifically we will address density functional-based calculation of T=0K total energies. Extension to finite temperature will use cluster expansions for the energies to obtain the chemical substitution en...

Many studies have shown that natural imagery exhibit certain statistical regularities such as scale invariance and non-Gaussian behavior. In particular, it has been shown that the marginal statistics (histograms) of filtered images have distributions with large kurtosis. Furthermore, the joint statistics of two or more filter responses are non-Gaussian often with circular and “diamond” shaped d...

Methane is the simplest organic molecule, and like many supposedly simple molecular materials it has a rich phase diagram. While crystal structures could be determined for two of the solid phases, that of the low temperature phase III remained unsolved. Using high-resolution neutron powder diffraction and a direct-space Monte Carlo simulated annealing approach, this fundamental structure has no...

We revisit the study of the phase structure of higher spin black holes carried out in arXiv: 1210.0284 using the “canonical formalism”. In particular we study the low as well as the high temperature regimes. We show that the Hawking-Page transition takes place in the low temperature regime. The thermodynamically favoured phase changes from conical surplus to black holes and then again to conica...

This work examines two major aspects of martensitic phase boundaries. The first part studies numerically the deformation of thin films of shape memory alloys by using subdivision surfaces for discretization. These films have gained interest for their possible use as actuators in microscale electro-mechanical systems, specifically in a pyramid-shaped configuration. The study of such configuratio...

We study the phase structure of the four-dimensional twisted Eguchi-Kawai model using numerical simulations. This model is an effective tool for studying SU(N) gauge theory in the large-N limit and provides a nonperturbative formulation of the gauge theory on noncommutative spaces. Recently it was found that its ZN symmetry, which is crucial for the validity of this model, can break spontaneous...

This paper presents a modified 32-bit ROM-based Direct Digital Frequency Synthesizer (DDFS). Maximum output frequency of the DDFS is limited by the structure of the accumulator used in the DDFS architecture. The hierarchical pipeline accumulator (HPA) presented in this paper has less propagation delay time rather than the conventional structures. Therefore, it results in both higher maximum ope...

The equilibrium properties of classical self-gravitating systems in the grand canonical ensemble are studied by using the correspondence with an euclidean field theory with infrared and ultraviolet cutoffs. It is shown that the system develops a first order phase transition between a low and a high density regime. In addition, due to the long range of the gravitational potential, the system is ...

Firstly, I give a brief summary of the current understanding of QCD below and near Tc (the critical temperature of the chiral transition). Some emphases are put on the qualitative difference between the Yukawa regime (T ∼ 0) and the Hagedorn regime (T ∼ Tc). Secondly, the dynamical phenomena associated with the chiral transition, in particular, the spectral changes of hadrons in hot and/or dens...