VISUALIZATION OF MONTE CARLO SPIN CLUSTERS FOR THE ISING MODEL IN 2 DIMENSION

The Monte Carlo algorithms and the Java applet designed for graphical presentation of spincluster in the Ising model in two dimensions are presented. The procedure is available in the Divisionof Computational Physics under the address: http://pearl.amu.edu.pl/DSP.htmlPozna

A Monte Carlo study of the Falicov–Kimball model in the perturbative regime

Finite-temperature properties of the Falicov–Kimball model on the square lattice have been studied in the perturbative regime, i.e. for t/U << 1, where t is the hopping constant and U denotes the Coulomb interaction strength. In our study, we have determined the phase diagram of the model in the second-order of the perturbation theory, where the antiferromagnetic Ising model in the magnetic field emerges. In the fourth-order, where our model constitutes the Ising model with more complicated frustrated antiferromagnetic interactions, the sketch of the phase diagram was established. The Monte Carlo method was employed and the behavior of Binder cumulants based on the order parameters was analyzed to determine the type of ordering and phase boundaries in the diagram

Molecular signatures associated with the treatment of triple-negative MDA-MB231 breast cancer cells with the histone deacetylase inhibitors JAHA and SAHA

Jay Amin Hydroxamic Acid (JAHA; N8-ferrocenylN1-hydroxy-octanediamide) is a ferrocene-containing analogue of the histone deacetylase inhibitor (HDACi) suberoylanilide hydroxamic acid (SAHA). JAHA’s cytotoxic activity on MDA-MB231 triple negative breast cancer (TNBC) cells at 72 h has been previously demonstrated with an IC50 of 8.45 M. JAHA’s lethal effect was found linked to perturbations of cell cycle, mitochondrial activity, signal transduction and autophagy mechanisms. In order to glean novel insights on how MDA-MB231 breast cancer cells respond to the cytotoxic effect induced by JAHA, and to compare the biological effect with the related compound SAHA, we have employed a combination of differential display-PCR, proteome analysis and COMET assay techniques and shown some differences in the molecular signature profiles induced by exposure to either HDACis. In particular, in contrast to the more numerous and diversified changes induced by SAHA, JAHA has shown a more selective impact on expression of molecular signatures involved in anti-oxidant activity and DNA repair. Besides expanding the biological knowledge of the effect exerted by the modifications in compound structures on cell phenotype, the molecular elements put in evidence in our study may provide promising targets for therapeutic interventions on TNBCs

2D Falicov-Kimball Model in the Perturbative Regime at Finite Temperatures

Finite-temperature properties of the Falicov-Kimball model in two approximations were studied in the perturbative regime, i.e. for t/U ≪ 1, where t=1 is the hopping constant and U=10 denotes the Coulomb interaction strength. In our study, we determined the phase diagram of the model in the second order of the perturbation theory, where it reduces to the antiferromagnetic Ising model in the emergent magnetic field. In the fourth order, where our model constitutes the Ising model with more complicated frustrated antiferromagnetic interactions, the phase diagram was established. The Monte Carlo method was employed to investigate the phase transition lines. The existence of stripe ordering at finite temperatures is proved

Monte Carlo Simulations of the Ashkin-Teller Model

Monte Carlo simulations are used to analyse the behaviour of the extended Ashkin-Teller model in two (2D) and three (3D) dimensions from the ratio of the square of the second moment of the order parameter to its fourth moment. The critical surface in three dimensional parameter space is calculated in regions where the Ising transitions are expected both for the ferro-and antiferromagnetic regions

Application of Algebraic Combinatorics to Finite Spin Systems with Dihedral Symmetry

Properties of a given symmetry group G are very important in investigation of a physical system invariant under its action. In the case of finite spin systems (magnetic rings as Fe$\text{}_{6}$, Cu$\text{}_{6}$, Fe$\text{}_{10}$, some planar macromolecules as Fe$\text{}_{12}$ or Fe$\text{}_{8}$) the symmetry group is isomorphic with the dihedral group D$\text{}_{N}$. In this paper group-theoretical "parameters" of such groups are determined, especially decompositions of transitive representations into irreducible ones and double cosets. These results are necessary to construct matrix elements of any operator commuting with G in an efficient way. The approach proposed can be useful in many branches of physics, but here it is applied to finite spin systems, which serve as models for mesoscopic magnets

Analiza przyczyn uszkodzeń zaworów dolotowych i wylotowych silników diesla

The paper presents results of MES calculations of temperature, stress and displacement distributions. The considered engine was the actual naturally aspirated one of 4C90. Calculations were performed by means of Abaqus Standard computer program. The engine elements considered were exhaust and inlet valves. This numerical tool used in the calculations enabled the execution of the finite element method calculations in non-linear range on the basis of iterative calculations of the geometrically non-linear issues using Newton - Raphson methods. The elements utilized in model were of C3D8T type, 8th. nodal, hexagonal to paired temperature-distortional analysis with the shape function of the first type. The elements of this type were used to model geometrically straight elements, such as: the valve seats, weld overlay, the valve guides, the valve disks, the valve stems. The remaining parts of engine were modelled with the utilization of C3D4T elements 4th nodal, tetragonal to paired temperature-distortional analysis with the shape function of the first type. The paired temperature-distortional analysis was carried out. The total number of elements was 371095, in this 20698 elements in inlet valve, 15117 elements in exhaust valve, 3264 elements in weld overlay, 2108 of elements in inlet valve seat, 1664 elements in exhaust valve seat, 126233 elements in the head. Obtained results are in fair agreement with similar studies for the other CI engines. Results of experimental studies into wear mechanisms at the valve seat surfaces are presented. Corrosion, adhesion and indentation wear were documented by means of SEM and EDX measurements. Results of numerical calculation proved that significant sliding takes place on the mating surfaces, which was caused by the mutual displacement of valve seat insert and valve stem.W pracy przedstawiono wyniki obliczeń numerycznych wykonanych metodą elementów skończonych rozkładów naprężeń, temperatur i odkształceń. Rozpatrywanym silnikiem był wolnossący silnik ZS typu 4C90. Obliczenia wykonano przy pomocy programu Abaqus Standard. Rozpatrywanymi elementami silnika były zawory dolotowe i wylotowe. Zastosowane do obliczeń narzędzie numeryczne umożliwiało wykonywanie obliczeń MES w zakresie nieliniowym w oparciu o iteracyjne techniki obliczeń zagadnień geometrycznie nieliniowych z wykorzystaniem metody Newtona - Raphsona. W modelu wykorzystano elementy typu C3D8T 8-węzłowe, heksagonalne do analizy sprzężonej temperaturowo-odkształceniowej z funkcją kształtu 1-rzędu. Elementy tego typu były wykorzystane do zamodelowania elementów prostych geometrycznie, takich jak: gniazda zaworów, napoina, prowadnice zaworów, talerzyki zaworów, trzonki zaworów. Pozostałe części silnika zamodelowano z wykorzystaniem elementów C3D4T 4-węzłowych, tetragonalnych do analizy sprzężonej temperaturowo-odkształceniowej z funkcją kształtu 1-rzędu. Wykonano analizę sprzężoną temperaturowo-odkształceniową. Liczba elementów wynosiła 371095, w tym 20698 elementów w zaworze ssącym, 15117 elementów w zaworze wydechowym, 3264 elementy w napoinie, 2108 elementów w gnieździe ssącym, 1664 elementy w gnieździe wydechowym, 126233 w głowicy. Rezultaty analiz numerycznych są w dobrej zgodności z publikowanymi wynikami dla innych silników ZS. Zostały przedstawione wyniki badań eksperymentalnych mechanizmu zużywania powierzchni przylgni zaworów. Udokumentowano metodami SEM i EDX występowanie korozji, odkształcenia plastycznego oraz zużycia adhezyjnego. Rezultaty obliczeń numerycznych udowodniły, że występuje znaczny poślizg na powierzchni tarcia co jest spowodowane wzajemnym przemieszczeniem gniazd i zaworów

Quantum Effects and Critical Behavior in Low-Dimensional Spin-1/2 Systems

The critical coupling and spontaneous magnetization curve for the 2D-Ising model are calculated using the effective-field method with correlations. An application of the method to the quantum S=1/2 1D-Heisenberg model is presented and reliable low-temperature estimates of the specific heat are evaluated