Dynamics of Ordering of Isotropic Magnets

We study the dynamics of ordering of the nonconserved and conserved Heisenberg magnet. The dynamics consists of two parts - an irreversible dissipation into a heat bath and a reversible precession induced by a torque due to the local molecular field. For quenches both to T=0 and T=T_c, we show that the torque is irrelevant when the dynamics is nonconserved but relevant when the dynamics is conserved and is governed by a new nontrivial fixed point.Comment: 7 pages, 5 eps figures. To appear in Physica A as a part of the proceedings of the StatPhys - Calcutta III, January 1999, Calcutta, India. Largely a combination of Phys. Rev. E, {\bf 57}, (1998),5069 and cond-mat/9903041, together with a detailed discussion on multiscalin

Cluster emission and phase transition behaviours in nuclear disassembly

The features of the emissions of light particles (LP), charged particles (CP), intermediate mass fragments (IMF) and the largest fragment (MAX) are investigated for $^{129}Xe$ as functions of temperature and 'freeze-out' density in the frameworks of the isospin-dependent lattice gas model and the classical molecular dynamics model. Definite turning points for the slopes of average multiplicity of LP, CP and IMF, and of the mean mass of the largest fragment ($A_{max}$) are shown around a liquid-gas phase transition temperature and while the largest variances of the distributions of LP, CP, IMF and MAX appear there. It indicates that the cluster emission rate can be taken as a probe of nuclear liquid--gas phase transition. Furthermore, the largest fluctuation is simultaneously accompanied at the point of the phase transition as can be noted by investigating both the variances of their cluster multiplicity or mass distributions and the Campi scatter plots within the lattice gas model and the molecular dynamics model, which is consistent with the result of the traditional thermodynamical theory when a phase transition occurs.Comment: replace nucl-th/0103009 due to the technique problem to access old versio

Finite size scaling analysis of intermittency moments in the two dimensional Ising model

Finite size scaling is shown to work very well for the block variables used in intermittency studies on a 2-d Ising lattice. The intermittency exponents so derived exhibit the expected relations to the magnetic critical exponent of the model. Email contact: [email protected]: Saclay-T93/063 Email: [email protected]

Moment Analysis and Zipf Law

The moment analysis method and nuclear Zipf's law of fragment size distributions are reviewed to study nuclear disassembly. In this report, we present a compilation of both theoretical and experimental studies on moment analysis and Zipf law performed so far. The relationship of both methods to a possible critical behavior or phase transition of nuclear disassembly is discussed. In addition, scaled factorial moments and intermittency are reviewed.Comment: Caption of Fig.6 was corrected. Review paper for WCI (World Consensus Initiative) Book "Dynamics and Thermodynamics with Nuclear Degrees of Freedom", published in Euorpean Physics Journal A as part of the Topical Volume. 16 pages, 21 figure

A model for nuclear matter fragmentation: phase diagram and cluster distributions

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties of the fragment size distributions. We show that two types of phase transitions can be found for high density systems. They merge into a unique transition at low density. An analysis of the critical exponents which characterize observables for different densities in the thermodynamic limit shows that these transitions look like continuous second order transitions.Comment: 27 pages, 5 figures; comments on microcanonical approach and other minor corrections added; references added; 1 figure change

Statistical nature of cluster emission in nuclear liquid-vapour phase coexistence

The emission of nuclear clusters is investigated within the framework of isospin dependent lattice gas model and classical molecular dynamics model. It is found that the emission of individual cluster which is heavier than proton is almost Poissonian except near the transition temperature at which the system is leaving the liquid-vapor phase coexistence and the thermal scaling is observed by the linear Arrhenius plots which is made from the average multiplicity of each cluster versus the inverse of temperature in the liquid vapor phase coexistence. The slopes of the Arrhenius plots, {\it i.e.} the "emission barriers", are extracted as a function of the mass or charge number and fitted by the formula embodied with the contributions of the surface energy and Coulomb interaction. The good agreements are obtained in comparison with the data for low energy conditional barriers. In addition, the possible influences of the source size, Coulomb interaction and "freeze-out" density and related physical implications are discussed

Fractals at T=Tc due to instanton-like configurations

We investigate the geometry of the critical fluctuations for a general system undergoing a thermal second order phase transition. Adopting a generalized effective action for the local description of the fluctuations of the order parameter at the critical point ($T=T_c$) we show that instanton-like configurations, corresponding to the minima of the effective action functional, build up clusters with fractal geometry characterizing locally the critical fluctuations. The connection between the corresponding (local) fractal dimension and the critical exponents is derived. Possible extension of the local geometry of the system to a global picture is also discussed.Comment: To appear in Physical Review Letter

Mapeo litológico y mineralógico del batolito devónico Cerro Áspero, usando imágenes ASTER, Sierras Pampeanas Orientales, Argentina

The present study evaluates ASTER image processing as a technique to assist the lithological and mineralogical mapping oflarge granitic bodies and associated hydrothermal alteration assemblages related to the Cerro Áspero batholith, in Sierra de Comechingones, Argentina. This batholith was formed by the successive emplacement of several sub circular, high-level crust plutons that intruded, in the Upper Devonian, to metamorphic sequences of high to medium grade reworked by shear zones. Each of these plutons developed internal, external and roof units, and dyke swarms. Internal units are composed by porphyritic biotite monzogranites and external, roof units and dyke swarms are dominated by two-mica and muscovite leucocratic monzogranites to quarz-rich alkali-feldspar granites. The main associated mineralizations are W-Mo magmatic-hydrothermaldeposits and postbatholith epithemal fluorite deposits of cretaceous age. Supervised classification, principal component analyses and emissivity calculations were made to identify lithological composition and variations within the different plutons that comprise the Cerro Áspero batholith. This methodology allowed us to have a better and precise mapping of the study area as well as the contacts between the different plutons that comprise the Cerro Áspero batholith. The classification with spectral angle mapper methods allowed to identify the different sectors with hydrothermal alteration (argillic and silicification). The argillic alteration is mainly associated with epithermal fluorite deposits74339440

Hydrodynamic Spinodal Decomposition: Growth Kinetics and Scaling Functions

We examine the effects of hydrodynamics on the late stage kinetics in spinodal decomposition. From computer simulations of a lattice Boltzmann scheme we observe, for critical quenches, that single phase domains grow asymptotically like $t^{\alpha}$, with $\alpha \approx .66$ in two dimensions and $\alpha \approx 1.0$ in three dimensions, both in excellent agreement with theoretical predictions.Comment: 12 pages, latex, Physical Review B Rapid Communication (in press

Density dependence of the "symmetry energy" in the lattice gas model

Isoscaling behavior of the statistical emission fragments from the equilibrated sources with $Z$ = 30 and $N$ = 30, 33, 36 and 39, resepectively, is investigated in the framework of isospin dependent lattice gas model. The dependences of isoscaling parameters $\alpha$ on source isospin asymmetry, temperature and freeze-out density are studied and the "symmetry energy" is deduced from isoscaling parameters. Results show that "symmetry energy" $C_{sym}$ is insensitive to the change of temperature but follows the power-law dependence on the freeze-out density $\rho$. The later gives $C_{sym}$ = 30$(\rho/\rho_0)^{0.62}$ if the suitable asymmetric nucleon-nucleon potential is taken. The effect of strength of asymmetry of nucleon-nucleon interaction potential on the density dependence of the "symmetry energy" is dicussed.Comment: 5 pages, 4 page