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A first-principles based methodology for efficiently and accurately finding thermodynamically stable and metastable atomic structures is introduced and benchmarked. The approach is demonstrated for gas-phase metal-oxide clusters in…

In any valid Monte Carlo sampling that realizes microcanonical property we can collect statistics for a transition matrix in energy. This matrix is used to determine the density of states, from which most of the thermodynamical averages can…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang

We investigate the cooperative effects of a single finite chain of monomers near an attractive substrate by first constructing a conformational pseudo-phase diagram based on the thermal fluctuations of energetic and structural quantities.…

Soft Condensed Matter · Physics 2011-07-01 Monika Möddel , Wolfhard Janke , Michael Bachmann

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

How to characterize topological quantum phases is a fundamental issue in the broad field of topological matter. From a dimension reduction approach, we propose the concept of high-order band inversion surfaces (BISs) which enable the…

Mesoscale and Nanoscale Physics · Physics 2021-05-18 Xiang-Long Yu , Wentao Ji , Lin Zhang , Ya Wang , Jiansheng Wu , Xiong-Jun Liu

Energy functions for pure and heterogenous systems are one of the backbones for molecular simulation of condensed phase systems. With the advent of machine learned potential energy surfaces (ML-PESs) a new era has started. Statistical…

A simple fast algorithm of the conodes calculation in binary systems is proposed. The method is based on exact solution of the problem on common tangent to pair of approximating parabolas. Sequence of approximating parabolas pairs having…

Statistical Mechanics · Physics 2015-03-19 A. Yu. Zakharov , A. A. Schneider

Score-based algorithms that learn the structure of Bayesian networks can be used for both exact and approximate solutions. While approximate learning scales better with the number of variables, it can be computationally expensive in the…

Machine Learning · Computer Science 2022-02-22 Zhigao Guo , Anthony C. Constantinou

The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of their modulated phases. In this paper we present a systematic simulation methodology for studying…

Statistical Mechanics · Physics 2015-03-18 Kai Zhang , Patrick Charbonneau

A Monte Carlo computer simulation algorithm in classical phase space is given for the treatment of quantum systems. The non-commutativity of position and momentum is accounted for by a mean field approach and instantaneous effective…

Quantum Physics · Physics 2018-12-11 Phil Attard

We introduce and analyse ensembles of 2-regular random graphs with a tuneable distribution of short cycles. The phenomenology of these graphs depends critically on the scaling of the ensembles' control parameters relative to the number of…

Disordered Systems and Neural Networks · Physics 2018-02-14 Fabian Aguirre Lopez , Paolo Barucca , Mathilde Fekom , Anthony CC Coolen

Equation-free macroscale modelling is a systematic and rigorous computational methodology for efficiently predicting the dynamics of a microscale system at a desired macroscale system level. In this scheme, the given microscale model is…

Dynamical Systems · Mathematics 2020-07-15 J. E. Bunder , I. G. Kevrekidis , A. J. Roberts

The theoretical analysis of many problems in physics, astronomy and applied mathematics requires an efficient numerical exploration of multimodal parameter spaces that exhibit broken ergodicity. Monte Carlo methods are widely used to deal…

Statistical Mechanics · Physics 2014-09-02 Stefano Martiniani , Jacob D. Stevenson , David J. Wales , Daan Frenkel

The most complicated phenomena of equilibrium statistics, phase separations and transitions of various order and critical phenomena, can clearly and sharply be seen even for small systems in the topology of the curvature of the…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

We study the equilibrium phase diagram of a generalized ABC model on an interval of the one-dimensional lattice: each site $i=1,...,N$ is occupied by a particle of type $\a=A,B,C,$ with the average density of each particle species…

Statistical Mechanics · Physics 2011-08-22 John Barton , Joel L. Lebowitz , Eugene R. Speer

In order to predict the potential energy surface (PES) from measured structure in equilibrium state, one should typically perform trial-and-error statistical thermodynamic simulation with assumed multibody interactions. Very recently, we…

Disordered Systems and Neural Networks · Physics 2017-07-11 Koretaka Yuge

In this publication we introduce SAMPLE, a structure search approach for commensurate organic monolayers on inorganic substrates. Such monolayers often show rich polymorphism with diverse molecular arrangements in differently shaped unit…

Materials Science · Physics 2020-09-29 Lukas Hörmann , Andreas Jeindl , Alexander T. Egger , Michael Scherbela , Oliver T. Hofmann

We report our studies of the potential energy surface (PES) of selected binary Lennard-Jones clusters. The effect of adding selected impurity atoms to a homogeneous cluster is explored. Inherent structures and transition states are found by…

Materials Science · Physics 2009-11-10 Dubravko Sabo , J. D. Doll , David L. Freeman

Phase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often times, thermal fluctuations, modeled as stochastic noise, are present in the system and the phase segregation…

Soft Condensed Matter · Physics 2017-04-19 Prerna Gera , David Salac

A general procedure is established to calculate the quantum phase diagrams for finite matter-field Hamiltonian models. The minimum energy surface associated to the different symmetries of the model is calculated as a function of the…

Quantum Physics · Physics 2021-02-03 Sergio Cordero , Eduardo Nahmad-Achar , Ramón López-Peña , Octavio Castaños