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<front>
<journal-meta>
<journal-id journal-id-type="publisher">EGUsphere</journal-id>
<journal-title-group>
<journal-title>EGUsphere</journal-title>
<abbrev-journal-title abbrev-type="publisher">EGUsphere</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">EGUsphere</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub"></issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/egusphere-2026-4365</article-id>
<title-group>
<article-title>Delayed State Evolution in Rate-and-State Earthquake Nucleation: Amplification, Localization, and Scaling</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kostić</surname>
<given-names>Srđan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Vasović</surname>
<given-names>Nebojša</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Jaroslav Černi Water Institute, Belgrade, Serbia</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Faculty of Mining and Geology, University of Belgrade, Belgrade, Serbia</addr-line>
</aff>
<pub-date pub-type="epub">
<day>24</day>
<month>07</month>
<year>2026</year>
</pub-date>
<volume>2026</volume>
<fpage>1</fpage>
<lpage>17</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2026 Srđan Kostić</copyright-statement>
<copyright-year>2026</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://egusphere.copernicus.org/preprints/2026/egusphere-2026-4365/">This article is available from https://egusphere.copernicus.org/preprints/2026/egusphere-2026-4365/</self-uri>
<self-uri xlink:href="https://egusphere.copernicus.org/preprints/2026/egusphere-2026-4365/egusphere-2026-4365.pdf">The full text article is available as a PDF file from https://egusphere.copernicus.org/preprints/2026/egusphere-2026-4365/egusphere-2026-4365.pdf</self-uri>
<abstract>
<p>Rate-and-state friction assumes instantaneous adaptation of state to slip velocity, but the consequences of this temporal assumption for earthquake nucleation remain poorly constrained. We introduce a constitutive response time t&lt;sub&gt;c&lt;/sub&gt; into ageing-law feedback and isolate its effect in a spatially distributed fault model. Eight simulations use the same Master configuration and differ only in t&lt;sub&gt;c&lt;/sub&gt; = 0&amp;ndash;0.12 s. Peak velocity increases by approximately 87 %, from 7.38 &amp;times; 10⁻&amp;sup3; to 1.38 &amp;times; 10⁻&amp;sup2; m s⁻&amp;sup1;, while finite delays permit local crossing of 10⁻&amp;sup2; m s⁻&amp;sup1;. The response separates into a moderate-velocity footprint that remains approximately 0.918 km wide and a delay-sensitive high-velocity core that expands to approximately 0.449 km. The response remains localized, separating constitutive amplification from subsequent large-scale propagation. To our knowledge, this is the first spatially distributed demonstration that explicit finite response time in ageing-law feedback can create a high-velocity inner core within a localized nucleation region. The diagnostic &amp;Pi;&lt;sub&gt;d&lt;/sub&gt; = t&lt;sub&gt;c&lt;/sub&gt; V&lt;sub&gt;max&lt;/sub&gt;/D&lt;sub&gt;c&lt;/sub&gt; relates delay to state-evolution time. The results establish temporal state adaptation as an independent constitutive dimension and provide benchmarks for laboratory calibration and fully dynamic modelling.</p>
</abstract>
<counts><page-count count="17"/></counts>
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