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Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet nontrivial, models. Most of these are classical systems, but some quantum-mechanical work is also reported.…

Statistical Mechanics · Physics 2009-11-13 Abhishek Dhar

We propose Neural Cellular Automata (NCA) to simulate the microstructure development during the solidification process in metals. Based on convolutional neural networks, NCA can learn essential solidification features, such as preferred…

Materials Science · Physics 2023-09-08 Jian Tang , Siddhant Kumar , Laura De Lorenzis , Ehsan Hosseini

Thermal conductivity of hadron matter is studied using a microscopic transport model, which will be used to simulate ultra-relativistic heavy ion collisions at different energy densities, namely the Ultra-relativistic Quantum Molecular…

Nuclear Theory · Physics 2016-04-27 T. E Nemakhavhani , A. Muronga

We show how to construct a deterministic nearest-neighbour cellular automaton (CA) with four states which emulates diffusion on a one-dimensional lattice. The pseudo-random numbers needed for directing random walkers in the diffusion…

Cellular Automata and Lattice Gases · Physics 2023-12-19 Henryk Fukś

We introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving average procedure to implement diffusion,…

comp-gas · Physics 2016-08-14 Jörg R. Weimar , Jean-Pierre Boon

Atomistic simulations of heat transport in complex materials are costly and hard to converge. This has led to the development of several noise-reduction techniques applicable to equilibrium molecular-dynamics (MD) simulations. We analyze…

Materials Science · Physics 2025-11-19 Sandro Wieser , YuJie Cen , Georg K. H. Madsen , Jesús Carrete

Tensile tests at room temperature are performed using molecular dynamics on all configurations of single-walled carbon nanotubes up to 4 nm in diameter. Distributions of the Young's modulus, Poisson's ratio, ultimate tensile strength and…

Applied Physics · Physics 2021-09-08 Marko Canadija

Regulation of cell proliferation is a crucial aspect of tissue development and homeostasis and plays a major role in morphogenesis, wound healing, and tumor invasion. A phenomenon of such regulation is contact inhibition, which describes…

Cell Behavior · Quantitative Biology 2024-07-01 Steffen Lange , Jannik Schmied , Paul Willam , Anja Voss-Böhme

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real…

Strongly Correlated Electrons · Physics 2013-10-02 Y. Huang , C. Karrasch , J. E. Moore

We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-organization phenomena encountered in pedestrian traffic, e.g.…

Statistical Mechanics · Physics 2007-05-23 Carsten Burstedde , Ansgar Kirchner , Kai Klauck , Andreas Schadschneider , Johannes Zittartz

Two-dimensional (2D) materials like graphene and h-BN usually show high thermal conductivity, which enables rich applications in thermal dissipation and nanodevices. Disorder, on the other hand, is often present in 2D materials. Structural…

Materials Science · Physics 2022-06-01 Yu-Tian Zhang , Yun-Peng Wang , Yu-Yang Zhang , Shixuan Du , Sokrates T. Pantelides

Using molecular dynamics(MD) simulations, we study thermal transport in graphene nanoribbons (GNR) subjected to uniform uniaxial and nonuniform strain fields. We predict significant thermal rectification (over 70%) in a rectangular armchair…

Materials Science · Physics 2012-05-24 K. G. S. H. Gunawardana , Kieran Mullen , Jiuning Hu , Yong P. Chen , Xiulin Ruan

Over the last two decades a plethora of new thermoelectric materials, their alloys, and their nanostructures were synthesized. The ZT figure of merit, which quantifies the thermoelectric efficiency of these materials increased from values…

Materials Science · Physics 2023-07-27 Neophytos Neophytou , Pankaj Priyadarshi , Zhen Li , Patrizio Graziosi

The wave-like nature of electrons leads to the existence of upper bounds on the thermoelectric response of nanostructured devices [R. S. Whitney, Phys. Rev. Lett. 112, 130601 (2014); Phys. Rev. B 91, 115425 (2015)]. This fundamental result,…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 Giuseppe Bevilacqua , Alessandro Cresti , Giuseppe Grosso , Guido Menichetti , Giuseppe Pastori Parravicini

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

Although traffic simulations with cellular-automata models give meaningful results compared with empirical data, highway traffic requires a more detailed description of the elementary dynamics. Based on recent empirical results we present a…

Statistical Mechanics · Physics 2007-05-23 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

We present an empirical model for the nearballistic transport in carbon nanotube (CNT) transistors used as strain sensors. This model describes the intrinsic effect of strain on the transport in CNTs by taking into account phonon scattering…

Mesoscale and Nanoscale Physics · Physics 2017-06-30 C. Wagner , J. Schuster , T. Gessner

For multilayer structures, interfacial failure is one of the most important elements related to device reliability. For cohesive zone modelling, traction-separation relations represent the adhesive interactions across interfaces. However,…

Computational Engineering, Finance, and Science · Computer Science 2023-01-02 Congjie Wei , Jiaxin Zhang , Kenneth M. Liechti , Chenglin Wu

A complex approach phonon quantum discrete model (PQDM) was developed to describe dynamics, kinetics and statistics of phonons in carbon nanostructures with zero-chirality of both zig-zag and armchair geometry. The model allows include into…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Ya. Glushko , V. N. Evteev , M. V. Moiseenko , N. A. Slusarenko , A. A. Zakhidov

We perform molecular dynamics (MD) simulations with phonon spectral analysis aiming at understanding the two dimensional (2D) thermal transport in suspended and supported graphene. Within the framework of equilibrium MD simulations, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Bo Qiu , Xiulin Ruan