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We introduce and motivate the study of quantum spin chains on a one-dimensional lattice. We classify the varieties of methods that have been used to study these models into three categories, - a) exact methods to study specific models b)…

Statistical Mechanics · Physics 2007-05-23 Sumathi Rao

In this work we illustrate our novel quantitative simulation approach for dense amorphous polymer systems, as discussed in our previous work[Kulkarni et al., A Novel Approach for Lattice Simulations of Polymer Chains in Dense Amorphous…

Soft Condensed Matter · Physics 2008-05-06 Joydeep Mukherjee , Antony N. Beris

The computational treatment of many-electron systems capable of exchanging {electrons and nuclei} with the environment represents one of the outermost frontiers in simulation methodology. The exchanging process occurs in a large variety of…

Chemical Physics · Physics 2019-02-21 Luigi Delle Site

This thesis is about the study of complex systems through simple models. Our work evidences the relevance of this kind of modeling in science, which provides us with a better understanding of nature at minimum cost. The fundamentals tools…

Statistical Mechanics · Physics 2019-04-09 Carlos A. Plata

We review our recent work in the area of autonomous materials research, highlighting the coupling of machine learning methods and models and more problem-aware modeling. We review the general Bayesian framework for closed-loop design…

Materials Science · Physics 2021-03-16 Soojung Baek , Kristofer G. Reyes

Simulation especially real-time simulation have been widely used for the design and testing of real-time systems. The advancement of simulation tools has largely attributed to the evolution of computing technologies. With the reduced cost…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-07 Xi Zheng

All-atom simulations can provide molecular-level insights into the dynamics of gas-phase, condensed-phase and surface processes. One important requirement is a sufficiently realistic and detailed description of the underlying intermolecular…

Chemical Physics · Physics 2022-06-15 K. Töpfer , M. Upadhyay , M. Meuwly

The goal of this paper is to demonstrate the general modeling and practical simulation of random equations with mixture model parameter random variables. Random equations, understood as stationary (non-dynamical) equations with parameters…

Computation · Statistics 2025-07-31 Wolfgang Hoegele

Materials informatics is increasingly used to support modelling, analysis and design across the length scales of materials science, from atomistic simulations to microstructural characterisation and continuum descriptions. Despite rapid…

Although simulation represents a major advance in the understanding of problems in complex systems, the field currently does not has standards in place that would guide the reporting of the data underlying each model, the process for model…

Chaotic Dynamics · Physics 2011-12-26 Elias Carvalho , Luciano Andrade , Ricardo Chaim , Ricardo Pietrobon

The chapter starts with a historical summary of first attempts to optimize the spin glass Hamiltonian, comparing it to recent results on searching largest cliques in random graphs. Exact algorithms to find ground states in generic spin…

Disordered Systems and Neural Networks · Physics 2023-01-03 Sergio Caracciolo , Alexander K. Hartmann , Scott Kirkpatrick , Martin Weigel

The aim of this review is to present and analyze the probabilistic models of mathematical phylogenetics which have been intensively used in recent years in biology as the cornerstone of attempts to infer and reconstruct the ancestral…

Populations and Evolution · Quantitative Biology 2020-01-08 Peter D Jarvis , Jeremy G Sumner

Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as…

Quantitative Methods · Quantitative Biology 2018-02-12 Cameron A. Smith , Christian A. Yates

The paper provides an introduction to agent-based modelling and simulation of social processes. Reader is introduced to the worldview underlying agent-based models, some basic terminology, basic properties of agent-based models, as well as…

Other Condensed Matter · Physics 2007-05-23 Armano Srbljinovic , Ognjen Skunca

Computer experiments refer to the study of real systems using complex simulation models. They have been widely used as alternatives to physical experiments. Design and analysis of computer experiments have attracted great attention in past…

Methodology · Statistics 2025-04-29 Anita Shahrokhian , Xinwei Deng , C. Devon Lin

The study of nonlinear phenomena in systems with many degrees of freedom often relies on complex numerical simulations. In trying to model realistic situations, these systems may be coupled to an external environment which drives their…

High Energy Physics - Lattice · Physics 2009-10-28 Julian Borrill , Marcelo Gleiser

The emergence of multicellularity and developmental programs are among the major problems of evolutionary biology. Traditionally, research in this area has been based on the combination of data analysis and experimental work on one hand and…

Populations and Evolution · Quantitative Biology 2014-03-14 Ricard V. Solé , Salva Duran-Nebreda

Although medium chain length insoluble amphiphiles are well known to form gaseous and liquid expanded phases on an air/water interface, the situation for the soluble case is less clear. We perform molecular dynamics simulations of model…

Soft Condensed Matter · Physics 2007-05-23 M. S. Tomassone , A. Couzis , C. Maldarelli , J. R. Banavar , J. Koplik

Simulations play important and diverse roles in statistical workflows, for example, in model specification, checking, validation, and even directly in model inference. Over the past decades, the application areas and overall potential of…

Computation · Statistics 2025-08-27 Paul-Christian Bürkner , Marvin Schmitt , Stefan T. Radev

We advocate the use of qualitative models in the analysis of large biological systems. We show how qualitative models are linked to theoretical differential models and practical graphical models of biological networks. A new technique for…

Molecular Networks · Quantitative Biology 2007-05-23 Philippe Veber , Michel Le_Borgne , Anne Siegel , Sandrine Lagarrigue , Ovidiu Radulescu