**Modelling of Physics Processes and Software Tools**

**Conveners:** Rob Veenhof (CERN), Ozkan Sahin (Uludag University, Piet Verwilligen (Universita e INFN, Bari)

In this WG, a common, open-access, maintainable software suite for the simulation of MPGD detectors will be developed. The existing tools for the simulation of primary ionization, transport and gas amplification will be extended, in particular to improve the modeling at very small scales. An effort will be made in order to integrate the tools into the Geant 4 package to make them easier to maintain and directly applicable within arbitrary geometry and field configurations. Also the modeling of the electronics response to the detector signals has to be improved. This will also make the simulation applicable to systems with very high granularity such as CMOS pixel readout. The tasks are: (1) Development of algorithms (in particular in the domain of very small scale structures); (2) Simulation improvements; (3) Development of common platform for detector simulations (integration of gas-based detector simulation tools to Geant 4, interface to ROOT); and (4) Development of simplified electronics modeling tools.

**From wire chambers to MPGDs**

Calculations for wire chambers are considerably simpler than calculations for MPGDs: wire chambers have smooth, essentially two-dimensional fields and the electron trajectories follow the electric field. MPGDs on the other hand have three-dimensional electrodes with field-shaping structures not much larger than the mean free path of electrons in the gas.

**Field calculations**

Whereas fields in wire chambers can in general be calculated with analytic techniques, simulation of MPGDs draws on numeric methods.

Most common are finite-element calculations. These can be performed with commercial software but also with open-source Gmsh Elmer, linked with Garfield++.

A recent alternative is the nearly-exact boundary element method, neBEM, interfaced with garfield and Garfield++.

**Microscopic tracking**

Electron transport in MPDGs, instead of being a mere matter of integrating a first order differential equation, relies on Magboltz, an electron scattering Monte Carlo for atoms and molecules.

This focus on physics makes the field attractive to students and several theses have been written on the subject.

Microscopic tracking of electrons undergoing avalanche multiplication in the vicinity of a micro-mesh.

**Excited states**

Prior to 2010, the excited states of noble gases were not routinely taken into account when simulating gas-based detectors. Once the cross sections of excitations had been incorporated in Magboltz, the Penning effect could be included in gas-gain calculations. It turns out that the Penning effect increases the gain by a factor of up to 10 in common mixtures. Transfer rates have meanwhile been measured for numerous mixtures.

Penning rate in Ar-CO2: comparison of 2010 data and more recent data (Kowalski).

**Multiplication**

Microscopic tracking can be used not only to work out the trajectories of single electrons, but also to simulate avalanches. This sheds light on gain fluctuations, surface and space charge accumulation, and mesh transparency.

There is in general agreement between measurement and calculation, but the mean avalanche gain in GEMs remains ununderstood.

Parameter *f *= *sigma ^{2}*/

*mean*as a function of reduced electric field

^{2}*E/p*for methane. The parameter

*f*describes how much of a hump the avalanche size distribution has. The coloured markers are data and the grey band is MC.

**Ion chemistry**

For many years, we have thought that the signal in Ar-CO_{2} mixtures is generated by Ar^{+} ions, despite the ionisation potential of CO_{2}. It is now known that there is not only charge transfer but also formation of CO_{2}·CO_{2}^{+} cluster ions. It so happens that the mobility of the cluster ion in the 70-30 mixture is almost equal to the mobility of Ar^{+} in pure Ar.

Ion reactions happen for virtually all gas mixtures. They are particularly complex for alkanes. This should be an interesting subject for theses.

**Resistive layers**

MPGDs nowadays often include resistive layers to enhance robustness and performance. The calculation of the induced current in these devices requires an extension of the Shockley-Ramo theorem. The implementation of this formalism, based on time-dependent weighting fields, in Garfield(++) will be a key line of work during the coming months.

Last updated on 25 May 2020 (HS, RV).