{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:52:23Z","timestamp":1760241143407,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T00:00:00Z","timestamp":1574985600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Within the Bayesian framework a non-intrusive uncertainty quantification is performed to assess the uncertainty of ion\u2013solid interaction simulations. For this we employ a reduced-order spectral expansion approach which is capable of confining the number of model runs to a feasible size. Moreover, the method facilitates sensitivity examinations regarding to input parameters of the model. It is applied to the ion\u2013solid simulation program SDTrimSP with several uncertain but normally distributed input parameters, i.e., impact angle    \u03b1   , projectile energy     E 0    , and surface binding energy     E  s b     . Consequently, the otherwise hardly accessible model parameter     E  s b      can be estimated in combination with recently acquired experimental data.<\/jats:p>","DOI":"10.3390\/e21121175","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T10:58:21Z","timestamp":1575025101000},"page":"1175","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Bayesian Determination of Parameters for Plasma-Wall Interactions"],"prefix":"10.3390","volume":"21","author":[{"given":"Roland","family":"Preuss","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Plasmaphysik, 85748 Garching, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6802-8523","authenticated-orcid":false,"given":"Rodrigo","family":"Arredondo","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Plasmaphysik, 85748 Garching, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8867-1014","authenticated-orcid":false,"given":"Udo","family":"von Toussaint","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Plasmaphysik, 85748 Garching, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1063\/1.1753757","article-title":"The Channeling of Energetic Atoms in Crystal Lattices","volume":"2","author":"Robinson","year":"1963","journal-title":"Appl. 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Gaussian Processes for Machine Learning, MIT Press.","DOI":"10.7551\/mitpress\/3206.001.0001"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Smith, R.C. (2014). Uncertainty Quantification: Theory, Implementation, and Applications, SIAM.","DOI":"10.1137\/1.9781611973228"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Ghanem, R., and Spanos, P. (1991). Stochastic Finite Elements: A Spectral Approach, Springer.","DOI":"10.1007\/978-1-4612-3094-6"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"897","DOI":"10.2307\/2371268","article-title":"The homogenous chaos","volume":"60","author":"Wiener","year":"1938","journal-title":"Am. J. Math."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Askey, R., and Wilson, J. (1985). Some Basic Hypergeometric Polynomials that Generalize Jacobi Polynomials, AMS. Mem. Amer. Math. Soc. 319.","DOI":"10.1090\/memo\/0319"},{"key":"ref_10","unstructured":"Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P. (2007). Numerical Recipes: The Art of Scientific Computing, Cambridge University Press. [3rd ed.]."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/0010-4655(88)90148-8","article-title":"Tridyn-binary collision simulation of atomic collisions and dynamic composition changes in solids","volume":"51","author":"Eckstein","year":"1988","journal-title":"Comput. Phys. Commun."},{"key":"ref_12","unstructured":"Eckstein, W., Dohmen, R., Mutzke, A., and Schneider, R. (2007). SDTrimSP: Ein Monte-Carlo Code zur Berechnung von Stossereignissen in Ungeordneten Targets (SDTrimSP: A Monte-Carlo Code for Calculating Collision Phenomena in Randomized Targets), Max-Planck-Institut f\u00fcr Plasmaphysik. Technical Report IPP 12\/3."},{"key":"ref_13","unstructured":"Behrisch, R., and Eckstein, W. (2007). Sputtering by Particle Bombardment, Springer."},{"key":"ref_14","unstructured":"Mutzke, A., and Schneider, R. (2009). SDTrimSP-2D: Simulation of Particles Bombarding on a Two Dimensional Target Version 1.0, Max-Planck-Institut f\u00fcr Plasmaphysik. Technical Report IPP 12\/4."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"014056","DOI":"10.1088\/1402-4896\/aa90be","article-title":"Sputtering of rough surfaces: A 3D simulation study","volume":"T170","author":"Mutzke","year":"2017","journal-title":"Phys. Scr."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.nme.2018.12.007","article-title":"Angle-dependent sputter yield measurements of keV D ions on W and Fe and comparison with SDTrimSP and SDTrimSP-3D","volume":"18","author":"Arredondo","year":"2019","journal-title":"Nucl. Mater. Energy"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.nme.2016.05.016","article-title":"Sputtering of iron, chromium and tungsten by energetic deuterium ion bombardment","volume":"8","author":"Sugiyama","year":"2016","journal-title":"Nucl. Mater. 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