{"id":31,"date":"2020-12-02T22:59:59","date_gmt":"2020-12-02T22:59:59","guid":{"rendered":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/?page_id=31"},"modified":"2020-12-02T23:18:15","modified_gmt":"2020-12-02T23:18:15","slug":"research-interests","status":"publish","type":"page","link":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/research-interests\/","title":{"rendered":"RESEARCH"},"content":{"rendered":"\n<p class=\"has-medium-font-size\"><em><em>Research Interests: Theoretical\u00a0Cosmology,\u00a0Astrophysics\u00a0&amp;\u00a0Gravitation<\/em><\/em><\/p>\n\n\n\n<p><strong>Large scale structure<\/strong><br>cosmic web, matter and halo correlation functions, redshift space distortions<\/p>\n\n\n\n<p><strong>Dark matter dynamics and self-gravitating systems<\/strong><br>perturbation theory, spherical collapse, semiclassical methods&nbsp;for classical dynamics, Vlasov-Poisson and&nbsp;Schr\u00f6dinger-Poisson equations<\/p>\n\n\n\n<figure class=\"wp-block-gallery aligncenter columns-2 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"360\" height=\"360\" src=\"http:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Spiral.gif\" alt=\"\" data-id=\"37\" data-full-url=\"http:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Spiral.gif\" data-link=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/research-interests\/spiral\/\" class=\"wp-image-37\" \/><figcaption class=\"blocks-gallery-item__caption\">Collapse in 1+1dimensional phase space showing the transition from a flat phase space sheet to a bound dark matter structure modelled by solving the Schr\u00f6dinger-Poisson equation (blue contours) and the Zeldovich approximation (red dashed line)<\/figcaption><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"http:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave.png\" alt=\"\" data-id=\"33\" data-full-url=\"http:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave.png\" data-link=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/zeldo-swimming-pool-slice-planarsinewave\/\" class=\"wp-image-33\" srcset=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave.png 1024w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave-300x300.png 300w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave-150x150.png 150w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave-768x768.png 768w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/Zeldo-swimming-pool-slice-planarSineWave-624x624.png 624w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"blocks-gallery-item__caption\">Time-evolution of a wave function solving the free Schr\u00f6dinger equation in 1D. This is a semiclassical analogue of the Zeldovich approximation. Shell-crossing forms multiple streams that manifest as interference patterns.<\/figcaption><\/figure><\/li><\/ul><\/figure>\n\n\n\n<p><strong>Large Deviation Statistics<\/strong><br>theory of large deviations from statistical mechanics and it&#8217;s application in cosmology<\/p>\n\n\n\n<figure class=\"wp-block-gallery columns-2 is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"710\" src=\"http:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-1024x710.png\" alt=\"\" data-id=\"38\" data-link=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/research-interests\/compplotquijotepdffidr10ln\/\" class=\"wp-image-38\" srcset=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-1024x710.png 1024w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-300x208.png 300w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-768x532.png 768w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-1536x1065.png 1536w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN-624x433.png 624w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/compplotQuijotePDFfidR10LN.png 1875w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"483\" height=\"259\" src=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/SpheresInitialFinalConditions.png\" alt=\"\" data-id=\"40\" data-full-url=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/SpheresInitialFinalConditions.png\" data-link=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/research-interests\/spheresinitialfinalconditions\/\" class=\"wp-image-40\" srcset=\"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/SpheresInitialFinalConditions.png 483w, https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/files\/2020\/12\/SpheresInitialFinalConditions-300x161.png 300w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/figure><\/li><\/ul><\/figure>\n\n\n\n<p><strong>Cosmological Perturbation Theory<\/strong><br>stability analysis, primordial anisotropy<\/p>\n\n\n\n<p><strong>Gravitational Singularities<\/strong><br>BKL conjecture, mixmaster universe<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Research Interests: Theoretical\u00a0Cosmology,\u00a0Astrophysics\u00a0&amp;\u00a0Gravitation Large scale structurecosmic web, matter and halo correlation functions, redshift space distortions Dark matter dynamics and self-gravitating systemsperturbation theory, spherical collapse, semiclassical methods&nbsp;for classical dynamics, Vlasov-Poisson and&nbsp;Schr\u00f6dinger-Poisson equations Large Deviation Statisticstheory of large deviations from statistical mechanics and it&#8217;s application in cosmology Cosmological Perturbation Theorystability analysis, primordial anisotropy Gravitational SingularitiesBKL conjecture, mixmaster [&hellip;]<\/p>\n","protected":false},"author":4587,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-31","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/pages\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/users\/4587"}],"replies":[{"embeddable":true,"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/comments?post=31"}],"version-history":[{"count":4,"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/pages\/31\/revisions"}],"predecessor-version":[{"id":43,"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/pages\/31\/revisions\/43"}],"wp:attachment":[{"href":"https:\/\/www.staff.ncl.ac.uk\/corauhlemann\/wp-json\/wp\/v2\/media?parent=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}