Fields on a Random Lattice

1984 ◽  
pp. 337-371 ◽  
Author(s):  
C. Itzykson
Keyword(s):  
Random Lattice

scholarly journals Modelling Sorption Thermodynamics and Mass Transport of n-Hexane in a Propylene-Ethylene Elastomer

Polymers ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1157
Author(s):  
Daniele Tammaro ◽  
Lorenzo Lombardi ◽  
Giuseppe Scherillo ◽  
Ernesto Di Maio ◽  
Navanshu Ahuja ◽  
...  
Keyword(s):  
Mass Transport ◽  
Interaction Parameter ◽  
Sorption Isotherms ◽  
Binary Interaction ◽  
Binary Interaction Parameter ◽  
Theoretical Interpretation ◽  
Sorption Behavior ◽  
Solvent Mixtures ◽  
Random Lattice ◽  
Hexane Vapor

Optimization of post polymerization processes of polyolefin elastomers (POE) involving solvents is of considerable industrial interest. To this aim, experimental determination and theoretical interpretation of the thermodynamics and mass transport properties of POE-solvent mixtures is relevant. Sorption behavior of n-hexane vapor in a commercial propylene-ethylene elastomer (V8880 VistamaxxTM from ExxonMobil, Machelen, Belgium) is addressed here, determining experimentally the sorption isotherms at temperatures ranging from 115 to 140 °C and pressure values of n-hexane vapor up to 1 atm. Sorption isotherms have been interpreted using a Non Random Lattice Fluid (NRLF) Equation of State model retrieving, from data fitting, the value of the binary interaction parameter for the n-hexane/V8880 system. Both the cases of temperature-independent and of temperature-dependent binary interaction parameter have been considered. Sorption kinetics was also investigated at different pressures and has been interpreted using a Fick’s model determining values of the mutual diffusivity as a function of temperature and of n-hexane/V8880 mixture composition. From these values, n-hexane intra-diffusion coefficient has been calculated interpreting its dependence on mixture concentration and temperature by a semi-empiric model based on free volume arguments.

scholarly journals More on random-lattice fermions

1995 ◽  
Vol 42 (1-3) ◽  
pp. 624-626
Author(s):  
T.D. Kieu ◽  
J.F. Markham ◽  
C.B. Paranavitane
Keyword(s):  
Random Lattice ◽  
Lattice Fermions

A simple random lattice ensemble and effective actions

1983 ◽  
Vol 126 (3-4) ◽  
pp. 247-249
Author(s):  
Zhang Yi-Cheng
Keyword(s):  
Random Lattice

scholarly journals Convergence Theorems for Some Layout Measures on Random Lattice and Random Geometric Graphs

2000 ◽  
Vol 9 (6) ◽  
pp. 489-511 ◽  
Author(s):  
JOSEP DÍAZ ◽  
MATHEW D. PENROSE ◽  
JORDI PETIT ◽  
MARÍA SERNA
Keyword(s):  
Constant Factor ◽  
Geometric Graphs ◽  
Convergence Theorems ◽  
Linear Arrangement ◽  
Random Lattice ◽  
Random Geometric Graphs ◽  
Unit Square ◽  
Subcritical Regime ◽  
Probabilistic Setting ◽  
Lattice Graphs

This work deals with convergence theorems and bounds on the cost of several layout measures for lattice graphs, random lattice graphs and sparse random geometric graphs. Specifically, we consider the following problems: Minimum Linear Arrangement, Cutwidth, Sum Cut, Vertex Separation, Edge Bisection and Vertex Bisection. For full square lattices, we give optimal layouts for the problems still open. For arbitrary lattice graphs, we present best possible bounds disregarding a constant factor. We apply percolation theory to the study of lattice graphs in a probabilistic setting. In particular, we deal with the subcritical regime that this class of graphs exhibits and characterize the behaviour of several layout measures in this space of probability. We extend the results on random lattice graphs to random geometric graphs, which are graphs whose nodes are spread at random in the unit square and whose edges connect pairs of points which are within a given distance. We also characterize the behaviour of several layout measures on random geometric graphs in their subcritical regime. Our main results are convergence theorems that can be viewed as an analogue of the Beardwood, Halton and Hammersley theorem for the Euclidean TSP on random points in the unit square.

Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms

2021 ◽  
Author(s):  
Panpan Zhang ◽  
Anhui Gu
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Diffusion ◽  
Upper Semicontinuity ◽  
Growth Conditions ◽  
Pullback Attractor ◽  
Random Lattice ◽  
Lipschitz Continuous ◽  
Lattice Dynamical Systems ◽  
Long Term Behavior

This paper is devoted to the long-term behavior of nonautonomous random lattice dynamical systems with nonlinear diffusion terms. The nonlinear drift and diffusion terms are not expected to be Lipschitz continuous but satisfy the continuity and growth conditions. We first prove the existence of solutions, and establish the existence of a multi-valued nonautonomous cocycle. We then show the existence and uniqueness of pullback attractors parameterized by sample parameters. Finally, we establish the measurability of this pullback attractor by the method based on the weak upper semicontinuity of the solutions.

scholarly journals Crossing Velocities and Random Lattice Animals

1995 ◽  
Vol 23 (3) ◽  
pp. 1006-1023 ◽  
Author(s):  
Alain-Sol Sznitman
Keyword(s):  
Lattice Animals ◽  
Random Lattice

scholarly journals Remote control of microtubule plus-end dynamics and function from the minus-end

eLife ◽  
2019 ◽  
Vol 8 ◽  
Author(s):  
Xiuzhen Chen ◽  
Lukas A Widmer ◽  
Marcel M Stangier ◽  
Michel O Steinmetz ◽  
Jörg Stelling ◽  
...  
Keyword(s):  
Remote Control ◽  
Mother Cell ◽  
Spindle Pole ◽  
Kinesin Motor ◽  
Random Lattice ◽  
Spindle Pole Bodies ◽  
Dividing Cells ◽  
Dynamics And Function ◽  
And Function ◽  
Microtubule Function

In eukaryotes, the organization and function of the microtubule cytoskeleton depend on the allocation of different roles to individual microtubules. For example, many asymmetrically dividing cells differentially specify microtubule behavior at old and new centrosomes. Here we show that yeast spindle pole bodies (SPBs, yeast centrosomes) differentially control the plus-end dynamics and cargoes of their astral microtubules, remotely from the minus-end. The old SPB recruits the kinesin motor protein Kip2, which then translocates to the plus-end of the emanating microtubules, promotes their extension and delivers dynein into the bud. Kip2 recruitment at the SPB depends on Bub2 and Bfa1, and phosphorylation of cytoplasmic Kip2 prevents random lattice binding. Releasing Kip2 of its control by SPBs equalizes its distribution, the length of microtubules and dynein distribution between the mother cell and its bud. These observations reveal that microtubule organizing centers use minus to plus-end directed remote control to individualize microtubule function.

scholarly journals Phase diagram of random lattice gases in the annealed limit

1999 ◽  
Vol 110 (2) ◽  
pp. 1235-1246 ◽  
Author(s):  
A. P. Vieira ◽  
L. L. Gonçalves
Keyword(s):  
Phase Diagram ◽  
Lattice Gases ◽  
Random Lattice
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