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In this paper, we prove that in the abstract Tile Assembly Model (aTAM), an accretion-based model which only allows for a single tile to attach to a growing assembly at each step, there are no tile assembly systems capable of…

Emerging Technologies · Computer Science 2018-07-18 Jacob Hendricks , Joseph Opseth , Matthew Patitz , Scott Summers

In contrast to most self-assembling synthetic materials, which undergo unbounded growth, many biological self-assembly processes are self-limited. That is, the assembled structures have one or more finite dimensions that are much larger…

Soft Condensed Matter · Physics 2022-05-25 Huang Fang , Botond Tyukodi , W. Benjamin Rogers , Michael F. Hagan

We compute the leading and next--to--leading corrections to the finite temperature scalar potential for a 3+1 dimensional $\phi^4$ theory using a systematic $1/N$ expansion. Our approach automatically avoids problems associated with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain

We carry out strain-controlled in-situ compression experiments of micron-sized tungsten (W) micropillars in the temperature range 300-900 K, together with simulations of three-dimensional discrete dislocation dynamics (DDD) at the same…

Materials Science · Physics 2026-02-26 Yang Li , Inam Lalani , Matthew Maron , William Hixson , Biao Wang , Nasr Ghoniem , Giacomo Po

Constructing quantum Hamiltonians for simulating and controlling the exotic physics of many-body systems belongs to the most important topics of condensed matter physics and quantum technologies. The main challenge that hinders the future…

Quantum Physics · Physics 2022-04-15 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jens O. Andersen , Daniel Boer , Harmen J. Warringa

We employ adaptive mesh refinement, implicit time stepping, a nonlinear multigrid solver and parallel computation, to solve a multi-scale, time dependent, three dimensional, nonlinear set of coupled partial differential equations for three…

Mathematical Physics · Physics 2015-06-22 P. C. Bollada , C. E. Goodyer , P. K. Jimack , A. M. Mullis , F. W. Yang

We study the O(N) linear sigma model in 1+1 dimensions. We use the 2PI formalism of Cornwall, Jackiw and Tomboulis in order to evaluate the effective potential at finite temperature. At next-to-leading order in a 1/N expansion one has to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jurgen Baacke , Stefan Michalski

Dynamical quantities such as the diffusion coefficient and relaxation times for some glass-formers may depend on density and temperature through a specific combination, rather than independently, allowing the representation of data over…

Statistical Mechanics · Physics 2013-09-27 Shiladitya Sengupta , Thomas B. Schröder , Srikanth Sastry

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

Whether self correcting quantum memories can exist at non-zero temperature in a physically reasonable setting remains a great open problem. It has recently been argued [1] that symmetry protected topological (SPT) systems in three space…

Quantum Physics · Physics 2021-06-09 Charles Stahl , Rahul Nandkishore

Isotropic pairwise interactions that promote the self assembly of complex particle morphologies have been discovered by inverse design strategies derived from the molecular coarse-graining literature. While such approaches provide an avenue…

Statistical Mechanics · Physics 2019-10-15 Beth A. Lindquist , Ryan B. Jadrich , Michael P. Howard , Thomas M. Truskett

Computational modeling is usually applied to aid experimental exploration of advanced materials to better understand the fundamental plasticity mechanisms during mechanical testing. In this work, we perform Molecular dynamics (MD)…

We study the complex-temperature properties of a rare example of a statistical mechanical model which is exactly solvable in an external symmetry-breaking field, namely, the Ising model on the square lattice with $\beta H = \pm i \pi/2$.…

High Energy Physics - Lattice · Physics 2009-10-28 Victor Matveev , Robert Shrock

We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We focus on the thermal phase structure of this theory, which…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich , Raghav G. Jha , Anosh Joseph

Although jammed granular systems are athermal, several thermodynamic-like descriptions have been proposed which make quantitative predictions about the distribution of volume and stress within a system and provide a corresponding…

Soft Condensed Matter · Physics 2015-06-05 James G. Puckett , Karen E. Daniels

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We present fast simulation methods for the self-assembly of complex shapes in two dimensions. The shapes are modeled via a general boundary curve and interact via a standard volume term promoting overlap and an interpenetration penalty. To…

Computational Physics · Physics 2023-12-11 Lukas Mayrhofer , Myfanwy E. Evans , Gero Friesecke

This study demonstrates the first realization of wireless strain, temperature and crack growth sensing within 3D-printed metallic structures using standard electromagnetic inspection hardware. This establishes a path toward need-based…

Emerging Technologies · Computer Science 2026-02-09 Connor G. McMahan , Chia-Ming Chang , Raymond Nguyen , Souren Soukiazian , David A. Smith , Tobias Schaedler , David Shahan

We apply the pseudopotential density functional perturbation theory approach along with the quasiharmonic approximation to calculate the thermal expansion of tungsten and two important metallic alloys, NiAl and PdTi. We derive the theory…

Materials Science · Physics 2009-11-10 Graeme J. Ackland , Xiangyang Huang , Karin M. Rabe