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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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- 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.
Copy file name to clipboardExpand all lines: 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.
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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