Simple Landau model of the smectic- A-isotropic phase transition

A simple Landau-type free energy function is presented to describe the smectic-A-isotropic phase transition. Varying the coupling between orientational and positional order parameters, a smectic-A-isotropic or a nematic-isotropic phase transition occurs. Within this model the smectic-A-isotropic phase transition is found to be always more strongly first order than the nematic-isotropic phase transition. The theoretical results are found to be in good agreement with all published experimental results. Received 27 June 2000     

Perpendicular recording write process modeling issues

An optimal write process is essential for realizing the high-density potential of perpendicular recording. An analytic Williams-Comstock-type model of transition width is derived, which is based on a linear transition shape. This model is used to explore the effect of system parameters on transition width. In order to preserve high write field gradient during high-speed recording it is essential to have fast head switching. The role of magnon processes in providing high damping for fast switching is discussed and micromagnetic simulation results are presented.     

Study of a 35-GHz third-harmonic low-voltage complex cavitygyrotron

A self consistent nonlinear theoretical model for a complex cavity gyrotron with abrupt transitions is presented in this paper. The model accounts for mode conversion in the transition region of the complex cavity through the general theory of modal expansion techniques. The interaction between the electron beam and TE₆₁/TE₆₂ RF field in the step cavity for a third-harmonic gyrotron is simulated; many calculations are carried out under different electron beam parameters     

Wave processes at outflow of water coolant with initial supercritical parameters

Simulation is presented for the case of water coolant outflow with initial supercritical parameters after high pressure pipeline breaking. The nonequilibrium relaxation model of phase transition was developed and validated. The model describes both boiling and condensation processes.     

Investigation of fission fragments average spin based on four dimensional Langevin dynamical model

We applied the four dimensional Langevin dynamical model to investigate the average spin of fission fragments. Elongation, neck thickness, asymmetry parameter, and the orientation degree of freedom(K coordinate)are the four dimensions of the dynamical model. We assume that the collective modes depend on the emission angle of the fragments, then different parameters related to the average spin of fission fragments are calculated dynamically.The angle dependence of average spin of fission fragments is investigated by calculating the spin at angles 90?and165?. Also, the obtained results based on the transition state model at scission point are presented. One can obtain better agreement between the results of the dynamical model and experimental data in comparison with the results of the transition state model.     

Third-harmonic complex cavity gyrotron self-consistent nonlinearanalysis

Starting from general transmission line equations with an electron beam source, a self-consistent nonlinear theoretical model for a complex cavity gyrotron with gradual transitions is presented in this paper. The model accounts for mode coupling in the transition region of the complex cavity. The interaction between the electron beam and H₆₁-H ₆₂ RF field in the complex cavity for a third-harmonic gyrotron is simulated; many calculations are carried out under different cavity dimensions and electron beam parameters     

Power dissipation and time-averaged pressure in oscillating flow through a sudden area change

Experiments on oscillating flow at the abrupt transition between a two-dimensional channel and essentially infinite space are presented. It is shown that phenomena associated with the transition are functions of three independent dimensionless parameters including the dimensionless radius rounding the edge of the end of the channel. The effect of each of these three parameters on the time-averaged pressure difference across the transition and the acoustic power dissipation is explored by holding two parameters fixed while varying the third. Evidence is presented that the losses due to oscillatory flow in this geometry are smaller than would be expected from commonly accepted values for steady flow in similar geometry.     

1/f Noise in a nonequilibrium phase transition: Experiment and mathematical model

The results of an experimental investigation of a high-power source of broad-band 1/f noise, which can be generated in a system of two interacting nonequilibrium phase transitions, are presented. This process takes place when a normal conductor-superconductor phase transition is superposed on the critical liquid-vapor transition in a boiling coolant. A mathematical model describing a nonequilibrium phase transition in a complicated nonlinear system with two interacting order parameters, which involves the conversion of white noise into stochastic fluctuations of the order parameters with 1/f and 1/f ² spectra, is proposed. The properties of the model fluctuations with a 1/f spectrum agree qualitatively with the experimentally observed properties. A characteristic difference between the model fluctuations with a 1/f ² spectrum and random walks is also noted. Zh. éksp. Teor. Fiz. 113, 1748–1757 (May 1998)     

Quantum–classical crossover of the escape rate in the two-parameter doubly periodic potential

The transition from the quantum tunneling to classical hopping for a two-parameter doubly periodic potential is investigated. According to the Chudnovsky's criterion for the first-order transition, it is shown that there is the first- or second-order transition depending on different parameters regions. The phase boundary lines between first- and second-order transitions are calculated, and a complete phase diagram is presented.     

The physical position neighbourhood evolving network model

Many social, technological, biological and economical systems are properly described by evolved network models. In this paper, a new evolving network model with the concept of physical position neighbourhood connectivity is proposed and studied. This concept exists in many real complex networks such as communication networks. The simulation results for network parameters such as the first nonzero eigenvalue and maximal eigenvalue of the graph Laplacian, clustering coefficients, average distances and degree distributions for different evolving parameters of this model are presented. The dynamical behaviour of each node on the consensus problem is also studied. It is found that the degree distribution of this new model represents a transition between power-law and exponential scaling, while the Barábasi-Albert scale-free model is only one of its special (limiting) cases. It is also found that the time to reach a consensus becomes shorter sharply with increasing of neighbourhood scale of the nodes.     

Sub-pixel dimensional measurement with Logistic edge model

To separate substandard workpieces from products, sub-pixel edge location with Logistic edge model is proposed for dimensional measurement. In the first step, workpiece rotation is corrected with high precision image rotation to reduce the measurement error and simplify the edge model. Secondly, Logistic edge model is utilized for fitting the discrete edge data to locate the sub-pixel workpiece edge and model parameters are estimated through the objective function in terms of the difference between assumed model and real image data. Finally, an edge pixel compensation method is presented with edge pixel compensation value, which weakens the effect of edge transition zone effectively. Experimental results demonstrate that the proposed method is effective for dimensional measurement with the relative error less than 0.05%.     

Vector breather of surface plasmon polaritons in left-handed material

A theory of an optical vector breather of self-induced transparency of surface plasmon polaritons is constructed. The nonlinear surface TM-modes propagating along the interface separating an isotropic medium and anisotropic left-handed material are investigated. A transition layer sandwiched between the connected media is described using a model of a two-dimensional gas of semiconductor quantum dots. Explicit analytical expressions for the shape and parameters of the surface vector breathers are obtained as well as simulations of the space-time dynamics of two-dimensional vector breathers presented with realistic parameters which can be reached in current experiments. It is shown that properties of a surface vector breather with phase modulation depends on the parameters of the quantum dots, the connected media and the transverse structure of the surface wave.     

Gravitationally Induced Decoherence in Macroscopic Systems

A quantum master equation for the time evolution of the center of mass (CM) of a macroscopic body is derived which takes into account the influence of the system's gravitational field over the CM wave function. As a consequence, all the relevant phenomenological features of the so-called GRW (Ghirardi, Rimini, and Weber) model are reproduced with no free parameters. The model presented here predicts also the existence of a transition region for the mass of the system—a kind of frontier between quantum (coherent) and classical (decoherent) behavior.     

A simple model for the BFKL–DGLAP transition in deep inelastic scattering

A simple model is presented which interpolates between the DGLAP and BFKL regimes in deep inelastic ep scattering. This model is based on the CCFM and LDC models, and it is simple enough to provide an intuitive picture of the transition region between the two domains. Results are presented for both fixed and running coupling; for fixed coupling the transition between the domains occurs at a constant ratio between and , while for a running coupling it occurs for constant ratio between and . Received: 16 October 2001 / Published online: 25 January 2002     

Anomalies in the characteristics of electronic structure upon a quantum phase transition to a state with two order parameters and the breaking of time-reversal symmetry

Based on the periodic Anderson model, microscopic expressions for the Ginzburg–Landau expansion coefficients in a phase with superconducting and antiferromagnetic order parameters are obtained. Temperature dependences of the order parameters near the temperature of the transition to this phase are established. The emergence of anomalous properties upon the quantum phase transition to the phase with two order parameters is investigated. This transition is accompanied by drastic reconstruction of the density of states, reflected by the interplay between superconductivity and antiferromagnetism.     

Optical properties and temperature dependence of critical transitions in ZnSe

The dielectric function of ZnSe has been deduced from ellipsometric measurements between 20 K and 380 K. is analysed around each critical point with the standard critical point model. The variations of the different parameters characterising each transition with temperature are presented and analysed. The temperature coefficients of the energies of the critical transitions are given. is essentially governed by the Coulomb interaction near the fundamental gap. Thanks to the high binding energy of the exciton and the low spectral width of the ellipsometer, the fundamental state of the exciton is found completely separated from the first excited states and the continuum at low temperature. In return the strong transition E₁ near the L points of the Brillouin zone can be described equally well with a 2D or an excitonic transition. Received 5 February 1999 and Received in final form 15 June 1999     

Eden growth model for aggregation of charged particles

The stochastic Eden model of charged particles aggregation in two-dimensional systems is presented. This model is governed by the following two parameters: screening length of electrostatic interaction, , and short-range attraction energy, E. Different patterns of finite and infinite aggregates are observed. They are of the following morphology types: linear or linear with bending, worm-like, DBM (dense-branching morphology), DBM with nucleus, and compact Eden-like. The transition between the different modes of growth is studied and phase diagram of the growth structures is obtained in co-ordinates. The detailed aggregate structure analysis, including analysis of their scaling properties, is presented. The scheme of the internal inhomogeneous structure of aggregates is proposed. Received 2 September 1998 and Received in final form 15 January 1999     

Analytic Study of XY-Ising Model

We apply the variational cumulant expansion to study the phase transition of a two-dimensional coupled XY-king model. This model can describe several different systems with underlying continuous and & symmetries. We calculate the free energy, internal energy and specific heat to the third-order approximation with the trial action of two variational parameters. A comparison with Monte Carlo data is also presented.     

Metal-insulator and order-disorder phase transitions: Magnetite

A thermodynamic model is presented for a system which exhibits both metal-insulator and order-disorder phase transitions. It is found that transition temperatures could be much lower than those predicted by pure order-disorder -only considerations. A variety of behaviors, including first-order and second-order transitions and critical points is found as the parameters change. The model explains qualitatively the experimental results for magnetite and suggests other possible behaviors for closely related systems.