Searcharxiv⌕ Search

arXiv subjects

J. A. Gonzalo

Publications and source records attributed to J. A. Gonzalo.

16 recordsLinked to original sources

Finite size scaling and equation of state for Ising lattices

Accurate Monte Carlo data from a set of isotherms near the critical point are analyzed using two RG based complementary representations, given respectively in terms of $\bar h=h/\mid t \mid^{βδ}$ and $\bar τ=t/h^{1/βδ}$. Scaling plots for data on simple cubic Ising lattices are compared with plots of $ML^{βν}$ vs. $\mid t \mid L^{1/ν}$ for increasing $L$ values and with high quality experimental data on $CrBr_{3}$. Finite size effects and the equation of state are discussed.

cond-mat.stat-mech↗

Monte Carlo critical isotherms for Ising lattices

Monte Carlo investigations of magnetization versus field, $M_c(H)$, at the critical temperature provide direct accurate results on the critical exponent $δ^{-1}$ for one, two, three and four-dimensional lattices: $δ_{1D}^{-1}$=0, $δ_{2D}^{-1}$=0.0666(2)$\simeq$1/15, $δ_{3D}^{-1}$=0.1997(4)$\simeq$1/5, $δ_{4D}^{-1}$=0.332(5)$\simeq$1/3. This type of Monte Carlo data on $δ$, which is not easily found in studies of Ising lattices in the current literature, as far as we know, defines extremely well the numerical value of this exponent within very stringent limits.

cond-mat.stat-mech↗

A modest proposal to solve the "missing mass" problem and related cosmological paradoxes

Properly interpreted data from nearby galaxies $(z\simeq 0.01)$ lead to $Ω\simeq 0.082$. Data from farther away galaxies $(z\simeq 1)$ with type Ia supernovae to $Ω=0.153$. Data to be expected from very high redshifted galaxies $(z\simeq 10.1)$ to $Ω=0.500$. And actual data from the CBR, emitted at the time at which the universe became transparent $(z\simeq 1422)$ to $Ω\simeq 0.992$. All these data are simultaneously consistent with the standard big-bang picture (no inflation), in which $ Ω$ is time dependent and it is given by $Ω(y)=1/\cosh ^{2}(y)$, being $y\equiv \sinh ^{-1}(T_{+}/T)^{1/2}$

astro-ph↗

Is there a maximum observable redshift in an open universe?

An estimate of the maximum observable redshift is obtained using only t_{0} approximately equal to (14+- 3)10^{9}years, H_{0} approximately equal to 65 +- 10Km\sec^{-1}Mpc^{-1}(t_{0}H_{0} approximately equal to 0.91 +- 0.08/0.18) assuming Λapproximately equal to 0. The resulting maximum redshift z_{+} approximately equal to 10 appears to give a reasonable upper limit to the highest actually observed redshifts. Some implications are discussed.

astro-ph↗

Dynamic Scaling in Diluted Systems Phase Transitions: Deactivation trough Thermal Dilution

Activated scaling is confirmed to hold in transverse field induced phase transitions of randomly diluted Ising systems. Quantum Monte Carlo calculations have been made not just at the percolation threshold but well bellow and above it including the Griffiths-McCoy phase. A novel deactivation phenomena in the Griffiths-McCoy phase is observed using a thermal (in contrast to random) dilution of the system.

cond-mat.stat-mech↗

Evolution of the universality class in slightly diluted (1>p>0.8) Ising systems

The crossover of a pure (undiluted) Ising system (spin per site probability p=1) to a diluted Ising system (spin per site probability p<0.8) is studied by means of Monte Carlo calculations with p ranging between 1 and 0.8 at intervals of 0.025. The evolution of the self averaging is analyzed by direct determination of the normalized square widths for magnetization and susceptibility as a function of p. We find a monotonous and smooth evolution from the pure to the randomly diluted universality class. The p-dependent transition is found to be independent of the size (L). This property is very convenient for extrapolation towards the randomly diluted universality class avoiding complications resulting from finite size effects.

cond-mat.stat-mech↗

The monoclinic phase in PZT: new light on morphotropic phase boundaries

A summary of the work recently carried out on the morphotropic phase boundary (MPB) of PZT is presented. By means of x-ray powder diffraction on ceramic samples of excellent quality, the MPB has been successfully characterized by changing temperature in a series of closely spaced compositions. As a result, an unexpected monoclinic phase has been found to exist in between the well-known tetragonal and rhombohedral PZT phases. A detailed structural analysis, together with the investigation of the field effect in this region of compositions, have led to an important advance in understanding the mechanisms responsible for the physical properties of PZT as well as other piezoelectric materials with similar morphotropic phase boundaries.

cond-mat.mtrl-sci↗

Revisiting "swings" in the crossover features of Ising thin films near Tc(D)

"Swing" effects at the onset of crossover towards two dimensional behavior in thin Ising films are investigated close to Tc(D) by means of Monte Carlo calculations. We find that the effect is extremely large for the specific heat effective critical exponent, in comparison with the "swing" already noted by Capehart and Fisher for the susceptibility. These effects change considerably the system's evolution with thickness (D) from two-dimensional to three-dimensional behavior, forcing the effective exponents to pass near characteristic Tri Critical Point (TCP) values.

cond-mat.stat-mech↗

Universality Class of Thermally Diluted Ising Systems at Criticality

The universality class of thermally diluted Ising systems, in which the realization of the disposition of magnetic atoms and vacancies is taken from the local distribution of spins in the pure original Ising model at criticality, is investigated by finite size scaling techniques using the Monte Carlo method. We find that the critical temperature, the critical exponents and therefore the universality class of these thermally diluted Ising systems depart markedly from the ones of short range correlated disordered systems. Our results agree fairly well with theoretical predictions previously made by Weinrib and Halperin for systems with long range correlated disorder.

cond-mat.stat-mech↗

Possible evidence for a change in cosmic equation of state at decoupling

Indirect but significative evidence (from fusion research data, and from the known 4He abundance) relevant to primordial nucleosynthesis is examined. It is shown that this evidence supports a change in cosmic equation of state at decoupling, compatible with Einstein's cosmological equations, from ROm T^4 aprox. cte (ROm=ROr) prior to decoupling (t taf), being taf the atom formation time. Implications at the baryon threshold time (temperature) and beyond are discussed.

astro-ph↗

A tetragonal-to-monoclinic phase transition in a ferroelectric perovskite: the structure of PbZr(0.52)Ti(0.48)O3

The perovskite-like ferroelectric system PbZr(1-x)Ti(x)O3 (PZT) has a nearly vertical morphotropic phase boundary (MPB) around x=0.45-0.50. Recent synchrotron x-ray powder diffraction measurements by Noheda et al. [Appl. Phys. Lett. 74, 2059 (1999)] have revealed a new monoclinic phase between the previously-established tetragonal and rhombohedral regions. In the present work we describe a Rietveld analysis of the detailed structure of the tetragonal and monoclinic PZT phases on a sample with x= 0.48 for which the lattice parameters are respectively: at= 4.044 A, ct= 4.138 A, at 325 K, and am= 5.721 A, bm= 5.708 A, cm= 4.138 A, beta= 90.496 deg., at 20K. In the tetragonal phase the shifts of the atoms along the polar [001] direction are similar to those in PbTiO3 but the refinement indicates that there are, in addition, local disordered shifts of the Pb atoms of ~0.2 A perpendicular to the polar axis.. The monoclinic structure can be viewed as a condensation along one of the <110> directions of the local displacements present in the tetragonal phase. It equally well corresponds to a freezing-out of the local displacements along one of the <100> directions recently reported by Corker et al.[J. Phys. Condens. Matter 10, 6251 (1998)] for rhombohedral PZT. The monoclinic structure therefore provides a microscopic picture of the MPB region in which one of the "locally" monoclinic phases in the "average" rhombohedral or tetragonal structures freezes out, and thus represents a bridge between these two phases.

cond-mat.mtrl-sci↗

New Features of the Morphotropic Phase Boundary in the PbZr(1-x)TixO3 System

Recently a new monoclinic phase in the PbZr(1-x)TixO3 ceramic system has been reported by Noheda et al. for the composition x= 0.48. In the present work, samples with Ti contents of x= 0.47 and 0.50, which are both tetragonal below their Curie points, have been investigated. In the sample with x= 0.50, the tetragonal phase was found to transform to a monoclinic phase at about 200 K as the temperature was lowered. The sample with x= 0.47 showed a complicated region of phase coexistence between 440-320 K, becoming rhombohedral at around 300 K. No further symmetry change was found down to 20 K. Dielectric measurements for these two samples are also reported. On the basis of these results, a preliminary phase diagram is presented. Optimum compositional homogeneity is needed to properly characterize the new monoclinic region.

cond-mat.mtrl-sci↗

Self-averaging of random and thermally disordered diluted Ising systems

Self-averaging of singular thermodynamic quantities at criticality for randomly and thermally diluted three dimensional Ising systems has been studied by the Monte Carlo approach. Substantially improved self-averaging is obtained for critically clustered (critically thermally diluted) vacancy distributions in comparison with the observed self-averaging for purely random diluted distributions. Critically thermal dilution, leading to maximum relative self-averaging, corresponds to the case when the characteristic vacancy ordering temperature is made equal to the magnetic critical temperature for the pure 3D Ising systems. For the case of a high ordering temperature, the self-averaging obtained is comparable to that in a randomly diluted system.

cond-mat.stat-mech↗

A monoclinic ferroelectric phase in the Pb(Zr1-xTix)O3 solid solution

A previously unreported ferroelectric phase has been revealed on a highly homogeneous sample of Pb(Zr0.52Ti0.48)O3 by high-resolution synchrotron x-ray powder diffraction measurements. At ambient temperature the sample has tetragonal symmetry (at= 4.037 A, ct= 4.138 A), and transforms below ~250 K into a phase which, unexpectedly, has monoclinic symmetry (am= 5.717 A, bm= 5.703 A, cm= 4.143 A, beta= 90.53 deg., at 20K). The intensity data strongly indicate that the polar axis lies in the monoclinic ac plane close to the pseudo-cubic [111] direction, which would be an example of the species m3m(12)A2Fm predicted on symmetry grounds by Shuvalov.

cond-mat.mtrl-sci↗

Pulsed neutron diffraction study of Zr-rich PZT

Pulsed neutron diffraction investigations have been performed in the ferroelectric PZT system, Pb(Zr1-xTix)O3, doped with 1%wt. of Nb2O5, as a function of both temperature and composition. The study has been made in a wide range of temperatures encompassing the three known phases in Zr-rich PZT: ferroelectric low temperature (R3c), ferroelectric high temperature (R3m) and paraelectric (Pm3m). The combination of the temperature and the composition dependence of the structural parameters allowed the determination of the special relationship, recently pointed out by Corker et al., between the octahedral strain (z) and the tilt angle (w) in the ferroelectric low temperature phase (FL) of PZT. The strain-tilt coupling coefficient has been found to decrease linearly with Ti content and the composition at which z and w de-couple to be of x=0.30.

cond-mat.mtrl-sci↗

Pyroelectric charge release in rhombohedral PZT

A new experimental set-up controlled by computer has been made to measure the pyroelectric charge of ferroelectric materials with a relatively high conductivity at slow rates of temperature variation. It allowed us to obtain the polarisation vs. temperature behaviour of PZT with various compositions in the whole range of temperatures with a high accuracy. The ferroelectric Zr-rich region of the PZT phase diagram, where the isostructural phase transition FRL-FRH takes place, has been studied.

cond-mat.mtrl-sci↗