diff --git a/ui/src/composables/use-follow-bottom.ts b/ui/src/composables/use-follow-bottom.ts
new file mode 100644
index 00000000..d44c6313
--- /dev/null
+++ b/ui/src/composables/use-follow-bottom.ts
@@ -0,0 +1,39 @@
+import { useScroll, useEventListener } from '@vueuse/core'
+
+/**
+ * Stick-to-bottom autoscroll for a live run log: follows new entries while the
+ * user is at the bottom, any upward scroll or wheel-up stops it, scrolling back
+ * to the bottom resumes.
+ *
+ * Targets the current document — what actually scrolls both standalone and
+ * inside data-fair's fixed-height d-frame iframe (never window.top). VueUse's
+ * `arrivedState.bottom` carries a built-in 1px tolerance, and appending a log
+ * fires no scroll event, so following only ever turns off on a real upward
+ * scroll — no manual threshold needed.
+ *
+ * @param logCount reactive getter for the log length (the growth signal)
+ * @param isActive getter telling whether the run is still streaming
+ */
+export const useFollowBottom = (logCount: () => number, isActive: () => boolean) => {
+  // Start following so a freshly opened, still-running run pins to its tail even
+  // though the page loads scrolled to the top.
+  const following = ref(true)
+
+  const { arrivedState, directions, y } = useScroll(window, {
+    onScroll: () => {
+      if (directions.top) following.value = false // scrolled up → stop
+      else if (arrivedState.bottom) following.value = true // back at bottom → resume
+    }
+  })
+
+  // A wheel-up reaches us even when the page can't scroll (short page, or
+  // data-fair's auto-height embed where the parent scrolls) — the only
+  // "stop following" signal available there.
+  useEventListener(window, 'wheel', (e: WheelEvent) => { if (e.deltaY < 0) following.value = false }, { passive: true })
+
+  const pinToBottom = () => { y.value = (document.scrollingElement ?? document.documentElement).scrollHeight }
+
+  watch(logCount, () => { if (isActive() && following.value) pinToBottom() }, { flush: 'post' })
+
+  return { following }
+}
diff --git a/ui/src/pages/processings/[id]/runs/[runId].vue b/ui/src/pages/processings/[id]/runs/[runId].vue
index 8dd208d1..dc451fb0 100644
--- a/ui/src/pages/processings/[id]/runs/[runId].vue
+++ b/ui/src/pages/processings/[id]/runs/[runId].vue
@@ -21,7 +21,7 @@
         />
         <v-expansion-panels
           v-else
-          :model-value="[steps.length - 1]"
+          v-model="openPanels"
           variant="accordion"
           multiple
           static
@@ -61,6 +61,7 @@
 
 <script setup lang="ts">
 import type { Run } from '#api/types'
+import { useFollowBottom } from '~/composables/use-follow-bottom'
 
 const { t } = useI18n()
 const route = useRoute<'/processings/[id]/runs/[runId]'>()
@@ -98,6 +99,20 @@ const steps = computed(() => {
   return steps
 })
 
+const { following } = useFollowBottom(
+  () => run.value?.log.length ?? 0,
+  () => run.value?.status === 'running'
+)
+
+// While following the tail keep only the latest step open; otherwise preserve the
+// user's selection. Recomputed only when the step count changes, not on every log.
+const openPanels = ref<number[]>([])
+watch(() => steps.value.length, (stepCount) => {
+  if (stepCount <= 0) openPanels.value = []
+  else if (following.value) openPanels.value = [stepCount - 1]
+  else openPanels.value = openPanels.value.filter((i) => i < stepCount)
+}, { immediate: true })
+
 function getColor (step: Record<string, any>) {
   let color = 'success'