737 research outputs found
Phase transitions in the steady state behavior of mechanically perturbed spin glasses and ferromagnets
We analyze the steady state regime of systems interpolating between spin
glasses and ferromagnets under a tapping dynamics recently introduced by
analogy with the dynamics of mechanically perturbed granular media. A crossover
from a second order to first order ferromagnetic transition as a function of
the spin coupling distribution is found. The flat measure over blocked states
introduced by Edwards for granular media is used to explain this scenario.
Annealed calculations of the Edwards entropy are shown to qualitatively explain
the nature of the phase transitions. A Monte-Carlo construction of the Edwards
measure confirms that this explanation is also quantitatively accurate
Electrochemical Properties of a Verdazyl Radical in Room Temperature Ionic Liquids
© 2020 CSIRO.
Room temperature ionic liquids (RTILs) have been widely investigated as alternative electrochemical solvents for a range of dissolved species over the past two decades. However, the behaviour of neutral radicals dissolved in RTILs is relatively unexplored. In this work, the electrochemistry of a stable verdazyl radical-1,5-dimethyl-3-phenyl-6-oxoverdazyl (MPV)-has been studied on a platinum thin-film electrode using cyclic voltammetry and chronoamperometry in 10 different RTILs. The organic solvent propylene carbonate is also employed as a comparison. The nature of the solvent system was found to have a large effect on the electrochemical behaviour, particularly on the reduction reaction of the verdazyl radical. Chronoamperometry on a microdisk electrode was used to calculate diffusion coefficients (D), and plots of D versus the inverse of viscosity were linear, suggesting typical hydrodynamic diffusional characteristics of the radical, in line with the behaviour of dissolved neutral and charged compounds (e.g. ferrocene and cobaltocenium) in RTILs. Overall, this study demonstrates that different RTILs have a significant influence on the electrochemistry of MPV, and therefore careful selection of the solvent system for electrochemical applications is advised
Steady State Behavior of Mechanically Perturbed Spin Glasses and Ferromagnets
A zero temperature dynamics of Ising spin glasses and ferromagnets on random
graphs of finite connectivity is considered, like granular media these systems
have an extensive entropy of metastable states. We consider the problem of what
energy a randomly prepared spin system falls to before becoming stuck in a
metastable state. We then introduce a tapping mechanism, analogous to that of
real experiments on granular media, this tapping, corresponding to flipping
simultaneously any spin with probability , leads to stationary regime with a
steady state energy . We explicitly solve this problem for the one
dimensional ferromagnet and spin glass and carry out extensive
numerical simulations for spin systems of higher connectivity. The link with
the density of metastable states at fixed energy and the idea of Edwards that
one may construct a thermodynamics with a flat measure over metastable states
is discussed. In addition our simulations on the ferromagnetic systems reveal a
novel first order transition, whereas the usual thermodynamic transition on
these graphs is second order.Comment: 11 pages, 7 figure
Material and magnetic properties of Sm2(Co, Fe, Cu, Zr)17permanentmagnets processed by Spark Plasma Sintering
Improvements to the properties of Rare Earth Permanent Magnets (REPMs) are needed to advance the capabilities of electric motors and generators, and refinement of the microstructure by the use of different approaches to processing may be a key means to achieving this. We report here a systematic study into the use of Spark Plasma Sintering to process Sm2(Co, Fe, Cu, Zr)17permanent magnets. This unfamiliar method for Sm2(Co, Fe, Cu, Zr)17offers the potential for efficiency savings in reduced processing temperatures and times versus the industry standard vacuum sinter powder metallurgical route, and also offers a refined microstructure of the materials produced. The optimised processing conditions for achieving near-to-theoretical density are reported, and the microstructure and magnetic properties of the materials produced are compared with conventional vacuum sintering. The results provide a basis for further optimisation of these materials
Exact Occupation Time Distribution in a Non-Markovian Sequence and Its Relation to Spin Glass Models
We compute exactly the distribution of the occupation time in a discrete {\em
non-Markovian} toy sequence which appears in various physical contexts such as
the diffusion processes and Ising spin glass chains. The non-Markovian property
makes the results nontrivial even for this toy sequence. The distribution is
shown to have non-Gaussian tails characterized by a nontrivial large deviation
function which is computed explicitly. An exact mapping of this sequence to an
Ising spin glass chain via a gauge transformation raises an interesting new
question for a generic finite sized spin glass model: at a given temperature,
what is the distribution (over disorder) of the thermally averaged number of
spins that are aligned to their local fields? We show that this distribution
remains nontrivial even at infinite temperature and can be computed explicitly
in few cases such as in the Sherrington-Kirkpatrick model with Gaussian
disorder.Comment: 10 pages Revtex (two-column), 1 eps figure (included
Slow Relaxation in a Constrained Ising Spin Chain: a Toy Model for Granular Compaction
We present detailed analytical studies on the zero temperature coarsening
dynamics in an Ising spin chain in presence of a dynamically induced field that
favors locally the `-' phase compared to the `+' phase. We show that the
presence of such a local kinetic bias drives the system into a late time state
with average magnetization m=-1. However the magnetization relaxes into this
final value extremely slowly in an inverse logarithmic fashion. We further map
this spin model exactly onto a simple lattice model of granular compaction that
includes the minimal microscopic moves needed for compaction. This toy model
then predicts analytically an inverse logarithmic law for the growth of density
of granular particles, as seen in recent experiments and thereby provides a new
mechanism for the inverse logarithmic relaxation. Our analysis utilizes an
independent interval approximation for the particle and the hole clusters and
is argued to be exact at late times (supported also by numerical simulations).Comment: 9 pages RevTeX, 1 figures (.eps
On phases in weakly interacting finite Bose systems
We study precursors of thermal phase transitions in finite systems of
interacting Bose gases. For weakly repulsive interactions there is a phase
transition to the one-vortex state. The distribution of zeros of the partition
function indicates that this transition is first order, and the precursors of
the phase transition are already displayed in systems of a few dozen bosons.
Systems of this size do not exhibit new phases as more vortices are added to
the system.Comment: 7 pages, 2 figure
The robot vibrissal system: Understanding mammalian sensorimotor co-ordination through biomimetics
Chapter 10 The Robot Vibrissal System: Understanding Mammalian Sensorimotor Co-ordination Through Biomimetics Tony J. Prescott, Ben Mitchinson, Nathan F. Lepora, Stuart P. Wilson, Sean R. Anderson, John Porrill, Paul Dean, Charles ..
Glassy dynamics in granular compaction: sand on random graphs
We discuss the use of a ferromagnetic spin model on a random graph to model
granular compaction. A multi-spin interaction is used to capture the
competition between local and global satisfaction of constraints characteristic
for geometric frustration. We define an athermal dynamics designed to model
repeated taps of a given strength. Amplitude cycling and the effect of
permanently constraining a subset of the spins at a given amplitude is
discussed. Finally we check the validity of Edwards' hypothesis for the
athermal tapping dynamics.Comment: 13 pages Revtex, minor changes, to appear in PR
Statistical distribution of quantum entanglement for a random bipartite state
We compute analytically the statistics of the Renyi and von Neumann entropies
(standard measures of entanglement), for a random pure state in a large
bipartite quantum system. The full probability distribution is computed by
first mapping the problem to a random matrix model and then using a Coulomb gas
method. We identify three different regimes in the entropy distribution, which
correspond to two phase transitions in the associated Coulomb gas. The two
critical points correspond to sudden changes in the shape of the Coulomb charge
density: the appearance of an integrable singularity at the origin for the
first critical point, and the detachement of the rightmost charge (largest
eigenvalue) from the sea of the other charges at the second critical point.
Analytical results are verified by Monte Carlo numerical simulations. A short
account of some of these results appeared recently in Phys. Rev. Lett. {\bf
104}, 110501 (2010).Comment: 7 figure
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