Composing multiple models

Why?

For some non-adiabatic dynamics methods, we would like to calculate certain quantities using a number of different approximations or different machine learning model interfaces. However, a model for a potential energy surface does not and should not be able to provide e.g. an electronic friction tensor. Instead, we can use the modular nature of NQCModels.jl to combine different components to a non-adiabatic dynamics method into a single model that can be used to set up a Simulation

For example, in order to run Molecular Dynamics with Electronic friction, we need to use a Model which supports the following methods:

  • potential to determine the total energy
  • derivative to determine interatomic forces
  • friction to determine the electronic friction tensor

However, most models for potential energy surfaces only provide potential and derivative, whereas friction! is provided by an ElectronicFrictionProvider.

To combine different models together for a system, we can use Subsystems to define which atoms in the system a given model should be applied to, and a CompositeModel to combine the different models into one. If different Subsystems should experience different effective temperatures, a TemperatureSetting can be provided when initialising a Simulation.

An overview of the different components used to combine models in NQCModels.jl

Example: Combining an AdiabaticModel with ElectronicFrictionProviders

using NQCDynamics

atoms = vcat([:H, :H], [:Cu for _ in 1:54]) # create example surface structure
positions = rand(3,56) # Placeholder for atomic positions
pes_model = Subsystem(Free(3)) # PES model with potential and derivative
friction_model = Subsystem(RandomFriction(3)) # Friction model supporting friction! only

println("PES model: \n", pes_model, "\nFriction model:", "friction_model")

complete_model = CompositeModel(pes_model, friction_model)
CompositeModel with subsystems:
Subsystem:
	🏎️ Free(3)
	🔢 Colon()
Subsystem:
	🏎️ RandomFriction(3)
	🔢 Colon()

As shown above, we have combined the RandomFriction provider with a model potential to give a total model which can be used in a simulation.

println("Potential: ", NQCModels.potential(complete_model, positions))
println("Derivative: ", NQCModels.derivative(complete_model, positions))
println("Friction: ", NQCModels.friction(complete_model, positions))
Potential: 0.0
Derivative: [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0]
Friction: [130.30595837868512 7.336342683274672 -13.948821506918746 -11.46342598946865 -9.373402877084018 -5.775810695520361 8.11950582590684 -8.620421806135722 4.412494787623604 -11.274610054967711 -25.506076494235767 -15.916879897457338 -8.373936155484783 -3.1268697042739526 17.074096292813596 -1.7747446587760034 4.6107819581520895 -13.9242507632847 -2.6729378216758812 4.638706724420501 10.375630119632694 6.803073180366363 22.197107493000907 -10.189465872060964 5.9592547617639875 -0.6262037405393307 3.60126402458252 -3.6098422082227497 -11.958311933541166 7.270085744001037 -5.226067278634654 -5.040846711235997 -4.803099206352675 -22.307941949204363 -4.62167351644503 -2.108466820630859 5.287690778096946 13.263486157480502 -19.921310657692967 -1.4112179306333408 4.679662601854478 -1.042425996006876 -25.956499190691012 6.235241399484081 0.4041336640246246 -0.14656208290619302 11.953952559869197 -9.696760928566027 -7.384818131040958 -15.887051924117767 -9.621902798748303 -12.256480131476568 9.50720733834893 -10.148448145224185 -2.429652561936708 -7.849645245604385 -15.43488446570118 20.00021335533712 9.326748656273228 -0.008558416453106654 13.005098487597355 -3.33399507239619 0.4503490164709252 1.0528424494100437 -3.2265632803256588 14.268994339356611 7.90825543885054 4.824430880414235 7.273074582438866 -19.233092208186207 26.180605607592252 -3.02451913353445 8.510502409015666 -18.477502477497115 -15.426923704744658 -1.5936142568860814 6.275178004748341 -0.9916288673081921 9.303201898945463 -2.567078202180102 4.475227145798138 -20.604324824964934 7.471090265112754 -1.9920258575156775 4.023233717040465 -0.9996543328839557 -8.99422169231305 -7.691252778252383 9.165203774210793 1.3555126469162948 -9.447467430882801 11.403890677515328 2.218924193379417 -13.130420803713461 -6.771636840168442 4.8147959821699935 -11.228855942421504 6.379243515460018 12.23729855212521 9.471529413490517 -1.7097986052994423 -6.301091732721588 -3.665957163763212 25.643201261290567 -10.440400157630291 -9.526165340604948 -7.203387714697005 -1.5173727110066573 -4.947066653303506 21.59259184935134 6.845379465566202 17.966227084133894 20.046666208752043 -7.718930006214565 6.720075153566265 11.544360578600875 -2.5743987516985363 6.814622172591551 -4.1829974435823845 6.140839703170219 11.734320042299256 -2.706833868867973 -13.645939908531883 10.716304070119223 -1.0575532094017415 -10.193171460357531 -0.3861641004868391 2.084388126536808 2.7107154147039707 12.360537432008618 16.66064769540703 -3.6342232681992903 24.395440822259882 -14.866222202528519 -10.724302496160213 8.882164369544501 20.19761812443141 -3.592119515609908 9.710339254751583 -1.7819104981444136 3.663360124812603 21.318737050747362 -2.1904778187424596 3.2490325581039006 10.284723371397758 10.387752308586553 4.327857319018798 4.3864542138179266 -1.6276642336820535 9.726171117520867 9.563855409376316 0.13215656009952786 -3.6758174370777086 15.3523734206036 10.271440808025758 4.645416091483477 0.22994113912646083 -19.420641648904912 -9.124076804464911 9.792178017993654 -15.535380181200088 16.090344238688402 -15.519972220018747 5.481268942235875 -14.086674736517983 -7.360779001204858 -3.309583946788226 -2.361085874473316; 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