I have three questions:
1. What substances have this structure (two-dimensional structure such as sheets or strips, not to be confused with the lattice of graphene)?
![](http://s28.postimg.org/mnckrmiul/220px_Tile_3_6_svg.png)
2. Are these substances in nature or an abstraction?
3. Does anyone know of articles on the "simulation of thermal conductivity in two-dimensional harmonic/anharmonic ideal crystals with a triangular lattice" and "dependence of the thermal conductivity of the sample size in two-dimensional ideal crystals with a triangular lattice."
Explanation of question 3:
[*] The ideal crystal: a collection of interacting particles (atoms), characterized by the correct spatial arrangement - the simplest model.
[*] The description in the framework of classical mechanics.
[*] The particles are arranged in a perfect crystal lattice.
Possible boundary conditions:
[*] Limited to infinity (infinite number of particles);
[*] Periodic (a finite number of particles).
[*] Potential interactions between the particles.
[*] We consider only the motion of nuclei (neglect the electronic degrees of freedom).
[*] The dimension of the crystal: 2D
[*] Structure: simple and complex.
[*] Type of lattice: triangular
[*] Ingredients: multielement.
[*] The structure of interaction: many.
[*] The nature of the interaction: Drivetrain, torque.
[*] Type of particle: mass point, rigid body gyrostat.
[*] Elasticity (ratio of elasticity): linear, non-linear.
[*] The strength (resistance strain, spall strength).
[*] Thermoelasticity (equation of state)
[*] The thermal conductivity (heat transfer equation).
[*] The internal friction (irreversible transition of mechanical energy into heat).
[*] High-energy oscillations (excitation correlation degrees of freedom).
[*] Two-dimensional crystals: the lattice of interacting particles - a model for the study of the general properties of media.
[*] Harmonic dimensional crystal - dimensional crystal with a linear interaction between the particles. Possible types: simple harmonic one-dimensional crystal (all particles are the same, and communication), complex harmonic one-dimensional crystal (particle mass and / or stiffness of connections vary periodically along the crystal).
[*] The anharmonic dimensional crystal - dimensional crystal with nonlinear interaction between the particles.
I have an articles on this subject, but only for a 1D crystal (shown below), and I need this information for 2D crystals with triangular lattice.
The thermal conductivity in one-dimensional crystals:
http://ptps.oxfordjournals.org/content/45/231.abstract?sid=59ff5cd6-c8c3-4e9d-9e4b-263cffb39a40
http://arxiv.org/pdf/0806.4224v1.pdf
http://link.springer.com/article/10.1007%2Fs10955-008-9487-1
http://scitation.aip.org/content/aip/journal/jmp/8/5/10.1063/1.1705319