Modelling quasicrystals at positive temperature

We consider a two-dimensional lattice model of equilibrium statistical mechanics, using nearest neighbor interactions based on the matching conditions for an aperiodic set of 16 Wang tiles. This model has uncountably many ground state configurations, all of which are nonperiodic. The question addressed in this paper is whether nonperiodicity persists at low but positive temperature. We present arguments, mostly numerical, that this is indeed the case. In particular, we define an appropriate order parameter, prove that it is identically zero at high temperatures, and show by Monte Carlo simulation that it is nonzero at low temperatures

Institutional isomorphism, negativity bias and performance information use by politicians : a survey experiment

A

KESAN PEMBANGUNAN KAWASAN PERINDUSTRIAN TERHADAP KOMUNITI PESISIR PANTAI DI PASIR GUDANG, JOHOR

Kawasan perindustrian Pasir Gudang merupakan sebuah kawasan perindustrian yang sedang giat membangun di Johor. Kawasan perindustrian Pasir Gudang dahulunya merupakan sebuah kawasan pedalaman yang hasil ekonominya bergantung kepada komoditi getah. Kini, pembangunan dalam sektor perindustrian telah membawa kepada pertambahan peluang pekerjaan dan pertumbuhan penduduk yang pesat. Hal ini secara langsung telah memberi kesan ke atas taraf hidup dan keadaan sosioekonomi masyarakat setempat khususnya terhadap komuniti pesisir pantai di kawasan Pasir Gudang. Meskipun pembangunan kawasan perindustrian rancak berlaku di sekeliling mereka, namun masih terdapat perkampungan di kawasan pesisir pantai yang masih mengekalkan nilai, tradisi dan amalan ekonomi masyarakat desa. Sehubungan dengan itu, kajian ini dijalankan bertujuan untuk menilai kesan pembangunan kawasan perindustrian terhadap tahap sosioekonomi komuniti pesisir pantai di kawasan Pasir Gudang. Kajian ini dijalankan dengan menggunakan kaedah kuantitatif deskriptif melibatkan seramai 60 orang ketua isi rumah yang terdiri daripada komuniti pesisir pantai di Kampung Tanjung Langsat dan Kampung Perigi Acheh. Hasil kajian ini mendapati terdapat perubahan yang ketara ke atas status sosioekonomi komuniti pesisir pantai akibat pembangunan kawasan perindustrian di Pasir Gudang. Antara perubahan positif yang diterima adalah dari aspek pekerjaan dan pendapatan. Manakala kesan negatif akibat pembangunan pesat kawasan perindustrian adalah dari aspek kesejahteraan sosial dan persekitaran

Local Complexity of Delone Sets and Crystallinity

This paper characterizes when a Delone set X is an ideal crystal in terms of restrictions on the number of its local patches of a given size or on the hetereogeneity of their distribution. Let N(T) count the number of translation-inequivalent patches of radius T in X and let M(T) be the minimum radius such that every closed ball of radius M(T) contains the center of a patch of every one of these kinds. We show that for each of these functions there is a `gap in the spectrum' of possible growth rates between being bounded and having linear growth, and that having linear growth is equivalent to X being an ideal crystal. Explicitly, for N(T), if R is the covering radius of X then either N(T) is bounded or N(T) >= T/2R for all T>0. The constant 1/2R in this bound is best possible in all dimensions. For M(T), either M(T) is bounded or M(T) >= T/3 for all T>0. Examples show that the constant 1/3 in this bound cannot be replaced by any number exceeding 1/2. We also show that every aperiodic Delone set X has M(T) >= c(n)T for all T>0, for a certain constant c(n) which depends on the dimension n of X and is greater than 1/3 when n > 1.Comment: 26 pages. Uses latexsym and amsfonts package

Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra

The paper investigates how correlations can completely specify a uniformly discrete point process. The setting is that of uniformly discrete point sets in real space for which the corresponding dynamical hull is ergodic. The first result is that all of the essential physical information in such a system is derivable from its $n$-point correlations, $n= 2, 3, >...$. If the system is pure point diffractive an upper bound on the number of correlations required can be derived from the cycle structure of a graph formed from the dynamical and Bragg spectra. In particular, if the diffraction has no extinctions, then the 2 and 3 point correlations contain all the relevant information.Comment: 16 page

Fluid/solid transition in a hard-core system

We prove that a system of particles in the plane, interacting only with a certain hard-core constraint, undergoes a fluid/solid phase transition

Statistical mechanics of glass transition in lattice molecule models

Lattice molecule models are proposed in order to study statistical mechanics of glass transition in finite dimensions. Molecules in the models are represented by hard Wang tiles and their density is controlled by a chemical potential. An infinite series of irregular ground states are constructed theoretically. By defining a glass order parameter as a collection of the overlap with each ground state, a thermodynamic transition to a glass phase is found in a stratified Wang tiles model on a cubic lattice.Comment: 18 pages, 8 figure

Dilatancy transition in a granular model

We introduce a model of granular matter and use a stress ensemble to analyze shearing. Monte Carlo simulation shows the model to exhibit a second order phase transition, associated with the onset of dilatancy.Comment: Future versions can be obtained from: http://www.ma.utexas.edu/users/radin/papers/shear2.pd