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Phase Transition in a Lattice Model of Superconductivity
Monte Carlo data and duality arguments, applied to a lattice model, are presented which indicate that a three-dimensional type-II superconductor should have a transition asymptotically equivalent to
Low-temperature properties of the random Heisenberg antiferromagnetic chain
The one-dimensional quantum spin-½ Heisenberg antiferromagnetic model with randomly distributed interaction strengths is solved approximately for several different distributions. Ground-state energy
Growing length and time scales in glass-forming liquids
TLDR
Finite-size scaling is performed for a realistic glass-former, using computer simulations, to evaluate the length scale associated with spatially heterogeneous dynamics, which grows as temperature decreases, and shows that relaxation times are determined by configurational entropy, in accordance with the Adam–Gibbs relation.
Growing Length Scales and Their Relation to Timescales in Glass-Forming Liquids
The question of whether the dramatic slowing down of the dynamics of glass-forming liquids near the structural glass transition is caused by the growth of one or more correlation lengths has received
Retrieval Properties of a Hopfield Model with Random Asymmetric Interactions
TLDR
It is shown that the size of the basin of attraction of a memory state does not show any significant change when asymmetry is introduced in the synaptic matrix, and the possibility of convergence to spurious fixed points is greatly reduced if a suitable upper limit is set for the convergence time.
Breakdown of the Stokes-Einstein relation in two, three, and four dimensions.
TLDR
An investigation of the breakdown of the Stokes-Einstein relation between diffusivity and viscosity at low temperatures in 2, 3, and 4 dimensions finds that the degree of the SE breakdown and measures of heterogeneity of dynamics are generally well correlated but with some exceptions.
Growth mechanism of nanocrystals in solution: ZnO, a case study.
TLDR
The results establish a qualitative departure from the widely accepted diffusion controlled coarsening (Ostwald ripening) process quantified in terms of the Lifshitz-Slyozov-Wagner theory.
Single-file diffusion of confined water inside SWNTs: an NMR study.
TLDR
A nuclear magnetic resonance (NMR) study of confined water inside approximately 1.4 nm diameter single-walled carbon nanotubes (SWNTs) shows that the mean squared displacement varies as the square root of time, predicted for single-file diffusion in a one-dimensional channel.
Random Antiferromagnetic Chain
The quantum spin- 1/2 Heisenberg antiferromagnet in one dimension with randomly distributed coupling constants is solved approximately. Ground-state energies and low-temperature properties are
Extreme active matter at high densities
TLDR
Dense extreme active matter, shows a rich spectrum of behaviour from intermittent plastic bursts and turbulence, to glassy states and jamming in the limit of infinite persistence time.
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