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Merge pull request #118 from MobleyLab/doi
Remove duplicated references
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README.md

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- Avisek Das (helped with outline and early brainstorming/planning of this document)
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- Victoria Tran Lim provided [valuable editorial feedback](https://github.com/MobleyLab/basic_simulation_training/issues/89#issue-351693860) on the document
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- Michael Shirts caught a variety of typos and other minor issues, and suggested some improvements.
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- Emmanuel Karagiorgos caught some duplicated references
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## Paper writing as code development
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<!-- This discussion is so that people know how to contribute to your document. -->
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- Nov. 5-6, 2018: Make editorial revisions suggested by peer reviewers and Victoria Lim.
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- Nov. 23, 2018: Check references using [`fixbibtex`](https://github.com/jaimergp/fixbibtex), incorporate fixes for problems it caught; addresses a number of typos/missing references caught by Michael Shirts.
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- Nov. 28, 2018: Add DOI, include citation to Grossfield et al. LiveCoMS article with DOI.
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- Dec. 18, 2018: Fix dupliated references.

paper/basic_training.bib

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edition = "Second"
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}
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@book{McQuarrieStatMechBook,
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author = "McQuarrie, Donald A.",
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title = "Statistical Mechanics",
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year = "2000",
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publisher = "University Science Books",
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}
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@book{ChandlerBook,
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author = "Chandler, David",
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title = "Introduction to Modern Statistical Mechanics",
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year = "1987",
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publisher = "Oxford University Press",
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edition = "First"
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}
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@article{thermostatAlgorithms2005,
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title={Thermostat algorithms for molecular dynamics simulations},
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author={H{\"u}nenberger, Philippe H},
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publisher={Springer}
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}
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@book{allenTildesleyLiquids,
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title={Computer simulation of liquids},
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author={Allen, Michael P and Tildesley, Dominic J},
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year={2017},
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publisher={Oxford university press}
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}
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@article{hoover1985canonical,

paper/basic_training.pdf

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paper/basic_training.tex

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Much of the background information on barostats is analogous to thermostats.
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The pressure of a molecular dynamics simulation is commonly measured using the virial theorem (an expectation value relating to positions and forces)~\cite{ShellNotes, LeachBook}.
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When pairwise interactions and periodic boundary conditions are considered, different approaches are often utilized~\cite{allenTildesleyLiquids, tuckermanBook, ShellNotes}.
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When pairwise interactions and periodic boundary conditions are considered, different approaches are often utilized~\cite{allen_computer_2017, tuckermanBook, ShellNotes}.
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Regardless, these formulas give pressure as a time-averaged quantity, similar to the temperature.
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If we use these formulas to calculate the pressure for a single snapshot, this quantity is referred to as the instantaneous pressure.
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The instantaneous pressure will not always be equal to the target pressure; in fact, in the NPH and NPT ensembles, the instantaneous pressure should undergo fluctuations around the target pressure.
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\subsubsection{Stochastic integrators}
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Stochastic dynamics simulations include application of a random force to each particle, and represent discretizations of either Langevin or Brownian dynamics.
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A detailed description of such stochastic dynamics may be found in McQuarrie~\cite{McQuarrieStatMechBook}, Chapter 20.
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A detailed description of such stochastic dynamics may be found in McQuarrie~\cite{McQuarrie:2000:}, Chapter 20.
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As detailed in Section \ref{sec:thermostats}, it is common to apply temperature control through the use of Langevin dynamics.
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As a brief aside, this highlights the fact that the choice of integrator is often tightly coupled to the choice of thermostat and/or barostat.
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Different combinations may demonstrate better performance and for expanded ensemble methods it is necessary to utilize an integrator specific to the selected temperature- or pressure-control algorithm.

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