نتایج جستجو برای: macroscopic state
تعداد نتایج: 881494 فیلتر نتایج به سال:
We consider the upscaled linear elasticity problem in context of periodic homogenization. Based on measurements deformation (macroscopic) boundary a body for given forcing, it is aim to deduce information geometry microstructure. For parametrized microstructure, we are able prove that there exists at least one solution associated minimization based L 2 $$ {L}^2 -difference measu...
We present a multiscale method for the simulation of large viscoelastic deformations and show its applicability to biological tissue such as plant tissue. At the microscopic level we use a particle method to model the geometrical structure and basic properties of individual cells. The cell fluid, modeled as a viscoelastic fluid by means of Smoothed Particle Hydrodynamics (SPH) is enclosed in an...
An approach to obtain analytical closed-form expressions for the macroscopic 'buckling strength' of various two-dimensional cellular structures is presented. The method is based on classical beam-column end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macrosco...
Boltzmann’s Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems
I give a brief overview of the resolution of the apparent problem of reconciling time symmetric microscopic dynamic with time asymmetric equations describing the evolution of macroscopic variables. I then show how the large deviation function of the stationary state of the microscopic system can be used as a Lyapunov function for the macroscopic evolution equations. —————————————————————————— G...
We review recent results about the macroscopic description of phase separation in the 2D Ising model, with special emphasis on boundary effects and related surface phase transitions. In particular, after having recalled some facts about the wetting transition, we describe two situations in which this transition has major consequences at the macroscopic scale. We also briefly describe a more gen...
We derive macroscopic equations of motion for the slowly varying electric field amplitude in three-dimensional active nonlinear optical nanostructures. We show that the microscopic Maxwell equations and polarization dynamics can be simplified to a macroscopic one-dimensional problem in the direction of group velocity. For a three-level active material, we derive the steady-state equations for n...
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