Partitioning and modularity of graphs with arbitrary degree distribution

J Reichardt, S Bornholdt - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We solve the graph bipartitioning problem in dense graphs with arbitrary degree distribution
using the replica method. We find the cut size to scale universally with⟨ k⟩. In contrast …

Effect of random interactions in spin baths on decoherence

S Camalet, R Chitra - Physical Review B—Condensed Matter and Materials …, 2007 - APS
We study the decoherence of a central spin-1∕ 2 induced by a spin bath with intrabath
interactions. Since we are interested in the cumulative effect of interaction and disorder, we …

Spin-glass behavior in hexagonal

LB Luo, YG Zhao, GM Zhang, SM Guo, Z Li… - Physical Review B …, 2007 - APS
In this paper, we present an experimental study of the hexagonal compound Na 0.70 Mn O
2. Zero-field-cooled and field-cooled susceptibilities display divergences at low …

Low-temperature orientational glass transition in molecular

TI Schelkacheva, EE Tareyeva… - Physical Review B …, 2007 - APS
We propose a model for the description of the low-temperature orientational glass transition
in solid molecular C 60 using the basic concepts and methods of spin-glass and multipole …

Equilibrium dynamics of spin-glass systems

A Crisanti, L Leuzzi - Physical Review B—Condensed Matter and Materials …, 2007 - APS
We present a critical analysis of the Sompolinsky theory of equilibrium dynamics. By using
the spherical 2+ p spin-glass model we test the asymptotic static limit of the Sompolinsky …

Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels

RC Alamino, D Saad - Journal of Physics A: Mathematical and …, 2007 - iopscience.iop.org
Using analytical methods of statistical mechanics, we analyse the typical behaviour of a
multiple-input multiple-output (MIMO) Gaussian channel with binary inputs under low …

Neural networks: New tools for modelling and data analysis in science

JW Clark - Scientific Applications of Neural Nets: Proceedings of …, 2007 - Springer
To provide a primer for the study of scientific applications of connectionist systems, the
dynamical, statistical, and computational properties of the most prominent artificial neural …

Getting abstract mathematical models in touch with nature

A Loettgers - Science in Context, 2007 - cambridge.org
ArgumentThis article focuses on the scientific practice of a specific class of models in
neuroscience and biology that approach biological systems as computational or information …

Spin-pair correlation dependent dynamic properties in magnetic relaxor ferroelectrics

QS Xia, Q Jiang - Journal of applied physics, 2007 - pubs.aip.org
In magnetic relaxor ferroelectrics, for the coupling interaction between the relaxor
ferroelectricity and magnetic order, the dielectric constant exhibits a sharp increase around …

The Hopfield model and its role in the development of synthetic biology.

A Loettgers - 2007 International Joint Conference on Neural …, 2007 - ieeexplore.ieee.org
Neural network models make extensive use of concepts coming from physics and
engineering. How do scientists justify the use of these concepts in the representation of …