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3D integrable lattice models and the Bazhanov-Stroganov model
3D integrable lattice models Bazhanov-Stroganov model
2015/3/19
Many 2D integrable lattice spin models known: Ising, XXZ, RSOS, etc.Systematic construction of solutions of Y-B equations: quantum groups.Not many integrable 3D models: almost all generalizations of Z...
A new mixed-mode fracture criterion for large-scale lattice models
mixed-mode fracture criterion large-scale lattice models
2014/12/18
Reasonable fracture criteria are crucial for the
modeling of dynamic failure in computational lattice models.
Successful criteria exist for experiments on the micro- and
on the mesoscale, which are...
Subsonic phase transition waves in bistable lattice models with small spinodal region
phase transitions in lattices heteroclinic travelling waves FPU-type chains kinetic relations
2012/6/14
Phase transitions waves in atomic chains with double-well potential play a fundamental role in materials science, but very little is known about their mathematical properties. In particular, the only ...
Lattice Models of Nonequilibrium Bacterial Dynamics
Lattice Models Nonequilibrium Bacterial Dynamics
2011/3/2
We study a model of self propelled particles exhibiting run-and-tumble dynamics on lattice. This non-Brownian di usion is characterised by a random walk with a nite persistence length between changes...
Lattice Models of Nonequilibrium Bacterial Dynamics
Lattice Models Nonequilibrium Bacterial Dynamics
2011/1/5
We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between chang...
T-system and thermodynamic Bethe ansatz equations for solvable lattice models associated with superalgebras
dressed vacuum form T-system lattice models
2010/4/7
An analytic Bethe ansatz is carried out related to the Lie superalgebra osp(1|2s). We present an eigenvalue formula of a transfer matrix in dressed vacuum form (DVF) labeled by a Young (super) diagram...
Anomalous Magnetization Exponent and Singular Frustration Induced Gap
in Incommensurate Massive One-Dimensional Lattice
Models
energy gap incommensurate one-dimensional system magnetization
2007/8/15
2004Vol.42No.1pp.146-150DOI:
Anomalous Magnetization Exponent and Singular Frustration Induced Gap
in Incommensurate Massive One-Dimensional Lattice
Models
GU Bo1 and ZHANG
Jun2
...
Transport lattice models of heat transport in skin with spatially heterogeneous, temperature-dependent perfusion
Transport lattice models heat transport skin temperature-dependent perfusion
2010/3/1
The heat transport system model of the skin was solved by exploiting the mathematical analogy between local thermal models and local electrical (charge transport) models, thereby allowing robust, circ...