Deformed coherent and squeezed states of multiparticle processes

Deformed squeezed states are introduced as the q-analogues of the conventional undeformed harmonic oscillator algebra squeezed states. It is shown that the boundary vectors in the matrix-product states approach to multiparticle diffusion processes are deformed coherent or squeezed states of a deformed harmonic oscillator algebra. A deformed squeezed and coherent-states solution to the n-species stochastic diffusion boundary problem is proposed and studied.Received: 31 January 2003, Published online: 10 October 2003     

The Stochastic Approach in Analysis—the Structures with Vacancies and Impurities

The stochastic approach to the problem of deformed bulk structures is a unique possibility for obtaining a so–so real picture of physical processes in these structures. The chain of identical atoms with random distances between neighbours as well as the chain with random masses at equal distances is analysed. These analyses were generalized to complex chains, which are spatially and mass deformed. The approximations used were incommensurability; one and more rough, continual approximation. The probabilities are of exponential type. It means that the error in estimation on the basis of stochastical method can go to 100% maximally.     

Exact solvability of open stochastic systems

It is shown that the boundary vectors in the matrix-product states approach to open stochastic diffusion processes are deformed coherent states of a deformed harmonicoscillator algebra. A unified deformed coherent states solution to the partially and totally asymmetric diffusion boundary problem is proposed and studied.     

Solving the two-center nuclear shell-model problem with arbitrarily oriented deformed potentials

A general new technique to solve the two-center problem with arbitrarily oriented deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle spectra for (12)C+(12)C-->(24)Mg are calculated using deformed Woods-Saxon potentials. These clearly show that nonaxial symmetric configurations play a crucial role in molecular resonances observed in reaction processes for this system at low energy.     

CEMS study of strain induced phase transformation in manganese Hadfield steel

A Conversion Electron Mössbauer Spectroscopy, (CEMS), study of phase transformations in a Hadfield steel induced by high rate strains is reported. Hadfield steel samples were impact deformed and the ensuing changes in the magnetic properties at the deformed zone and its surroundings have been studied by CEMS. The CEMS results are compared with wear tests and optical microscopy and show a formation of martensite by impact deformation only at the surface. Martensite is not produced by compression or tensile stresses but appears after wear tests in proportions that depend on the load and velocity conditions of test. The understanding of martensite phase formation and its evolution during deformation processes is also addressed.     

Transition through the critical velocity for a moving load in an elastic waveguide

Phenomena that accompany the transonic transition experienced by a load moving along a string on a deformed base are studied. A solution in the form convenient for a qualitative analysis of the wave processes is proposed. The cases of the acceleration and deceleration of the load are considered.     

Application of refraction and diffraction of light to the measurement of the liquid surface shape deformed by ultrasonic radiation pressure

A method of measuring the liquid surface (hump) deformed by ultrasonic radiation pressure is proposed. The method is based on the usage of a hump as a liquid lens with an interference structure formed by sound waves falling on the surface. The hump shape is evaluated by means of shadowgrams obtained with laser illumination. The possibility of using the hump as a sensor of processes occuring in the liquid through which sound waves are passing is shown.     

Surface effects in plastic deformation of metals

It is now accepted that the appearance of slip bands on the surface of a plastically deformed metal is evidence that the deformation is not homogeneous but is concentrated on relatively few atomic planes. Recent microscopical experiments have suggested that this conclusion is only valid in the later stages of deformation and that the first fractional per cent of strain is much more nearly homogeneous. Theories to account for both these stages of deformation are examined in the light of microscopical evidence.

The validity of conclusions about internal processes based on experiments on the surface is discussed; it is shown that the surface finish affects not only the appearance of internal processes but also the processes themselves.

In cases where the deformation is not homogeneous the balance of evidence is that it is also not continuous in time: instead, slip on an active slip plane tends to a limit which is reached either gradually or suddenly depending on the nature of the metal and the conditions of stress. The same processes which stop slip on the active planes produce general hardening of the metal. However, slip can restart on or near to former slip planes as a result of mechanisms activated by temperature and stress, and can, in favourable cases, continue until fracture. Therefore slip bands, the sources of hardening, are also places of weakness.     

On semi-quantal approximations to heavy-ion scattering

The coupled-channel equations for heavy-ion scattering are approximately solved in a closed form, in the context of semi-quantal approach. Our solutions are shown to contain dynamic polarization potentials (arising from two and/or multi-step processes) in a natural way. A closed form treatment, of the effects of dynamic polarization by Coulomb excitation, on the elastic scattering of deformed heavy-ions is also presented. As an example, we compare our results for quadrupole Coulomb excitation of¹⁸⁴W ions by¹⁸O ions at 90 MeV, with those obtained from optical model treatments.     

Cyclic high-pressure torsion of nickel and Armco iron

Cyclic high-pressure torsion, a modified version of high-pressure torsion, is applied to Armco iron and nickel. The results in terms of microstructure and flow stress are compared to samples deformed by conventional high-pressure torsion. For both processes and both materials, a saturation in the decrease of the structure size and the increase in the flow stress is observed. The minimum size of the structural elements which is obtainable is smallest for the conventionally high-pressure torsion deformed samples and increases with decreasing strain per cycle in cyclic high-pressure torsion.     

A challenge to chaotic itinerancy from brain dynamics

Brain hermeneutics and chaotic itinerancy proposed by Tsuda are attractive characterizations of perceptual dynamics in the mammalian olfactory system. This theory proposes that perception occurs at the interface between itinerant neural representation and interaction with the environment. Quantifiable application of these dynamics has been hampered by the lack of definable history and action processes which characterize the changes induced by behavioral state, attention, and learning. Local field potentials measured from several brain areas were used to characterize dynamic activity patterns for their use as representations of history and action processes. The signals were recorded from olfactory areas (olfactory bulb, OB, and pyriform cortex) and hippocampal areas (entorhinal cortex and dentate gyrus, DG) in the brains of rats. During odor-guided behavior the system shows dynamics at three temporal scales. Short time-scale changes are system-wide and can occur in the space of a single sniff. They are predictable, associated with learned shifts in behavioral state and occur periodically on the scale of the intertrial interval. These changes occupy the theta (2-12 Hz), beta (15-30 Hz), and gamma (40-100 Hz) frequency bands within and between all areas. Medium time-scale changes occur relatively unpredictably, manifesting in these data as alterations in connection strength between the OB and DG. These changes are strongly correlated with performance in associated trial blocks (5-10 min) and may be due to fluctuations in attention, mood, or amount of reward received. Long time-scale changes are likely related to learning or decline due to aging or disease. These may be modeled as slow monotonic processes that occur within or across days or even weeks or years. The folding of different time scales is proposed as a mechanism for chaotic itinerancy, represented by dynamic processes instead of static connection strengths. Thus, the individual maintains continuity of experience within the stability of fast periodic and slow monotonic processes, while medium scale events alter experience and performance dramatically but temporarily. These processes together with as yet to be determined action effects from motor system feedback are proposed as an instantiation of brain hermeneutics and chaotic itinerancy.     

Entanglement in composite bosons realized by deformed oscillators

Composite bosons (or quasibosons), as recently proven, are realizable by deformed oscillators and due to that can be effectively treated as particles of non-standard statistics (deformed bosons). This enables us to study quasiboson states and their inter-component entanglement aspects using the well-developed formalism of deformed oscillators. We prove that the internal entanglement characteristics for single two-component quasiboson are determined completely by the parameter(s) of deformation. The bipartite entanglement characteristics are generalized and calculated for arbitrary multi-quasiboson (Fock, coherent, etc.) states and expressed through deformation parameter.     

Changes in the composition and surface structure of alloys in regions with varying deformation

The change in the structure and composition of deformed regions hidden beneath the surface of samples are studied experimentally upon their identification by the method of successive processes of polishing and sputtering. Two present-day steel coins coated with different binary alloys, a 1-ruble coin (coated with the alloy Ni1%Fe) and a 50-kopeck coin (coated with the tompak alloy Cu10%Zn), and also a 5-kopeck coin minted in 1990 consisting of brass L60 are used as the samples. It is found that a change in the surface structure (different for the studied coins) and an increase in the light-component concentration take place in the region of increased deformation by pressing due to its diffusion to the side of greater deformation. The obtained results can be used for improving the means of determining hidden deformed regions using sputtering and stage-like analysis of the surface composition.     

A modified coupled channel Born approximation applied to the study of the excitation of vibrational bands in deformed nuclei

A formalism based on the coupled channel Born approximation is presented. The treatment is applied to the study of weak direct processes in permanently deformed nuclei coexisting with the rotational excitations.The central idea consists in replacing the coupled-channel wave functions for the relative motion by the waves generated by an angle dependent S-matrix formalism. The resultant approximation is applied to vibrational excitations of deformed nuclei. Numerical results are shown for the excitation of the 3⁻ state in ¹⁵⁰Nd by 70.4 MeV ¹²C, and comparisons with coupled channels calculations are made.     

Cold deformed fission in232U(n,f) and239Pu(n,f)

Masses, charges and kinetic energies of light fission fragments from the reactions²³²U(n, f) and²³⁹Pu(n, f) induced by thermal neutrons have been measured on the Cosi fan tutte spectrometer of the Institut Laue-Langevin in Grenoble. Both at very high and very low kinetic energies marked fine structures in the mass yields and odd-even staggerings in the charge yields are observed. In the framework of a scission point model the results are shown to point to compact and deformed scission configurations, respectively, where at scission the fragments carry no intrinsic excitation energy. The two limiting processes may, therefore, be called cold compact fission (usually known as cold fission) and cold deformed fission. The latter process as a general phenomenon of low energy fission has come into focus only recently.     

Effect of plastic strain energy density on polymer optical fiber power losses

We explore the dependence of power losses on average plastic energy densities as rays propagate along deformed polymer optical fibers (POFs). The variation of power losses in deformed POFs with different bend radii and elongations are measured and analyzed. Three-dimensional elastic-plastic finite-element models are used to calculate average plastic energy densities in deformed POFs. The results indicate that the average plastic energy density introduced in a deformed POF can be considered a key index with which to study the power loss. Based on the experimental results, a curve-fitted equation is proposed for estimating the power loss by using the average plastic energy density for various bend radii.     

Interaction between oxygen and dislocations in p-type silicon

The interaction between dislocations and impurities in silicon has been the subject of many studies over several years; nevertheless, many questions mainly relevant to the electronic states of complex defects containing impurities and dislocations are still unclear. In oxygen precipitated and plastically deformed p-type silicon deep levels were detected by deep level transient spectroscopy (DLTS). The comparison between differently treated samples allowed us to clarify the influence of oxygen on the defective states. One of the most prominent DLTS peaks usually observed in plastically deformed silicon was found to change substantially as a function of O precipitation. In particular, O precipitation increased the thermal stability of the peak, and also changed the capture and emission processes at the deep level. PACS 78.55.-m; 78.55.Ap; 71.55.-i; 71.55.Cn     

The dynamics of copolymers in homopolymer matrices

The ability of a polymer chain to relax when it is deformed, and the ease to which this relaxation occurs, dramatically influences the macroscopic properties of the polymeric material. However, the local segmental relaxation processes in multi-component polymer systems are not well understood. The impact of the dynamics of one component on the dynamics of the other is not simply proportional to the relative amounts of each component, as one might expect. This paper discusses recent results using neutron techniques and Monte Carlo simulation that monitor the dynamic properties of a copolymer in a homopolymer matrix. In particular, the results indicate that altering either copolymer sequence distribution or copolymer composition will dramatically impact the dynamics of the copolymer that is surrounded by homopolymers. These results provide important fundamental information on the coupling of the dynamics of two components in a multi-component polymer system. This data also offer insight into the local segmental relaxation processes in multi-component polymer systems, which are not well understood and yet influence the ultimate properties of these mixtures     

非旋波近似下频率变化的场与原子的相互作用

研究了非旋波近似下频率随时间变化的相干态光场与二能级原子的相互作用，主要讨论了光场频率随时间作正弦和方波变化两种典型情况下，原子布居数反转随时间的演化特性. 当光场频率随时间作正弦变化时，原子布居数反转的崩塌-回复过程和由虚光子过程引起的快速振荡均会受到影响. 当光场频率随时间以方波形式变化时，脉冲调制不仅在原子布居数反转随时间演化过程中诱导出新的崩塌-回复过程，而且可以引起虚光子快速振荡的突变. 关键词： Jaynes-Cummings模型 非旋波近似 原子布居数反转     

Extension of the angle dependent phase shift formalism to vibrational excitations

The angle dependent phase shift formalism for a permanently deformed target is generalized to include the excitation of vibrational states. In this extension, theS-matrix depends on the intrinsic angle describing the deformed surface as well as on the amplitude of the vibration. Numerical examples are given.