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We present algorithmic results for the parallel assembly of many micro-scale objects in two and three dimensions from tiny particles, which has been proposed in the context of programmable matter and self-assembly for building high-yield…

Data Structures and Algorithms · Computer Science 2017-09-20 Aaron T. Becker , Sándor P. Fekete , Phillip Keldenich , Dominik Krupke , Christian Rieck , Christian Scheffer , Arne Schmidt

We examine the temperature dependence of thermal conductivity of one dimensional nonlinear (anharmonic) lattices with and without on-site potential. It is found from computer simulation that the heat conductivity depends on temperature via…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nianbei Li , Baowen Li

The number of distinguishable inherent structures of a liquid is the key component to understanding the thermodynamics of glass formers. In the case of hard potential systems such as hard discs, spheres and ellipsoids, an inherent structure…

Statistical Mechanics · Physics 2015-05-13 S. S. Ashwin , Richard K Bowles

We argue that thermal machines can be understood from the perspective of `virtual qubits' at `virtual temperatures': The relevant way to view the two heat baths which drive a thermal machine is as a composite system. Virtual qubits are…

Quantum Physics · Physics 2012-08-14 Nicolas Brunner , Noah Linden , Sandu Popescu , Paul Skrzypczyk

Thermal errors in machine tools significantly impact machining precision and productivity. Traditional thermal error correction/compensation methods rely on measured temperature-deformation fields or on transfer functions. Most existing…

Machine Learning · Computer Science 2025-10-07 C. Coelho , M. Hohmann , D. Fernández , L. Penter , S. Ihlenfeldt , O. Niggemann

The melting condition for two-dimensional Wigner solid ( P.M. Platzman, H.Fukuyama, 1974) is shown to contain an error of a factor of $\pi$. The analysis of experimental data for apparent 2D metal-to-insulator transition shows that the…

Strongly Correlated Electrons · Physics 2017-06-12 M. V. Cheremisin

We demonstrate that the configurational temperature formalism can be derived from the classical hypervirial theorem, and introduce a hierarchy of hyperconfigurational temperature definitions, which are particularly well suited for…

Soft Condensed Matter · Physics 2009-11-10 Yilong Han , David G. grier

Conventional mechanical design follows an iterative process in which initial concepts are refined through cycles of expert assessment and resource-intensive Finite Element Method (FEM) analysis to meet performance goals. While machine…

Machine Learning · Computer Science 2025-05-02 Yayati Jadhav , Amir Barati Farimani

We study response and velocity autocorrelation functions for a tagged particle in a shear driven suspension governed by underdamped stochastic dynamics. We follow the idea of an effective confinement in dense suspensions and exploit a…

Statistical Mechanics · Physics 2012-02-08 Boris Lander , Udo Seifert , Thomas Speck

We study the statistics of thermodynamic quantities in two related systems with quenched disorder: A (1+1)-dimensional planar lattice of elastic lines in a random potential and the 2-dimensional random bond dimer model. The first system is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Simon Bogner , Thorsten Emig , Ahmed Taha , Chen Zeng

We introduce staged self-assembly of Wang tiles, where tiles can be added dynamically in sequence and where intermediate constructions can be stored for later mixing. This model and its various constraints and performance measures are…

Computational Geometry · Computer Science 2008-03-04 Erik D. Demaine , Martin L. Demaine , Sandor P. Fekete , Mashhood Ishaque , Eynat Rafalin , Robert T. Schweller , Diane Souvaine

We prove that an effective temperature naturally emerges from the algorithmic structure of a regular universal Turing machine (UTM), without introducing any external physical parameter. In particular, the redundancy growth of the machine's…

Statistical Mechanics · Physics 2025-10-17 Kentaro Imafuku

Entrainment in cumulus convection remains ill-understood and difficult to quantify. For instance, entrainment is widely believed to be a fundamentally turbulent process, even though Turner (1957) pointed out that dry thermals entrain…

Fluid Dynamics · Physics 2020-01-08 Daniel Lecoanet , Nadir Jeevanjee

This study presents a machine learning approach to predict the Curie temperature in binary alloys, specifically focusing on the Fe-Pt, Fe-Ni, Fe-Pd, and Co-Pt compounds within a concentration range of 10 to 90 atomic percent. The optimal…

Materials Science · Physics 2025-09-23 Svitlana Ponomarova , Oleksandr Ponomarov , Yurii Koval

We prove a Kleene theorem for higher-dimensional automata. It states that the languages they recognise are precisely the rational subsumption-closed sets of finite interval pomsets. The rational operations on these languages include a…

Formal Languages and Automata Theory · Computer Science 2024-12-18 Uli Fahrenberg , Christian Johansen , Georg Struth , Krzysztof Ziemiański

Laboratory plasma production almost always preferentially heats either the ions or electrons, leading to a two-temperature state. High-fidelity modeling of these systems can be achieved with density functional theory molecular dynamics in…

Plasma Physics · Physics 2025-10-20 Zachary A. Johnson , Nathaniel R. Shaffer , Michael S. Murillo

In this paper we propose a research programme for getting structural characterisations for 2-dimensional languages generated by self-assembling tiles. This is part of a larger programme on getting a formal foundation of parallel,…

Formal Languages and Automata Theory · Computer Science 2015-06-19 Gheorghe Stefanescu

We present several finite-temperature recursive Fermi-operator expansion schemes based on the second-order spectral projection (SP2) method. Our approach builds on a previous observation that the electronic structure problem, as formulated…

We study infinite dimensional tilting modules over a concealed canonical algebra of domestic or tubular type. In the domestic case, such tilting modules are constructed by using the technique of universal localization, and they can be…

Representation Theory · Mathematics 2019-11-07 Lidia Angeleri Hügel , Dirk Kussin

We consider the dunking problem: a solid body at uniform temperature $T_{\text i}$ is placed in a environment characterized by farfield temperature $T_\infty$ and spatially uniform time-independent heat transfer coefficient. We permit…

Numerical Analysis · Mathematics 2024-12-17 Kento Kaneko , Claude Le Bris , Anthony T. Patera