diff --git a/HISTORY.rst b/HISTORY.rst
index ccf4ced..494f186 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -1,6 +1,12 @@
 =======
 History
 =======
+2026.10.17.1 -- Warn about a fixed random seed in a loop
+    * A step in a loop's body that uses a fixed random seed, such as LAMMPS's
+      Velocities, gives every iteration the same random numbers: iterations that start
+      from the same structure are then the same run, not independent replicas. The
+      check before the job runs warns about it, with a fix setting the seed to random.
+
 2026.10.17 -- Parallel loops: MD runs kept for analysis, and a check before running
     * The record of the MD runs that analysis steps read (Viscosity, Diffusivity,
       Liquid Structure, Dielectric Constant, Ionic Conductivity) now comes back from
diff --git a/docs/user_guide/index.rst b/docs/user_guide/index.rst
index b96b5e5..31a2a9a 100644
--- a/docs/user_guide/index.rst
+++ b/docs/user_guide/index.rst
@@ -85,6 +85,9 @@ Choosing parallel declares that the iterations are independent:
   one configuration). The check before the job runs warns about each such step
   in the body of a parallel loop over one structure, and the editor offers to
   change it with one click (``seamm-flowchart validate --fix`` does the same).
+  Replicas need different random numbers too: the check also warns about a step
+  in the body with a fixed random seed, such as LAMMPS's Velocities, which by
+  default draws a new one each time.
 - ``break``, ``continue`` and skipping an iteration work as in a serial loop:
   after a break in iteration *k* the iterations after *k* are not merged, so
   the result is the serial one.
diff --git a/loop_step/loop.py b/loop_step/loop.py
index 5151f8c..ffee1f0 100644
--- a/loop_step/loop.py
+++ b/loop_step/loop.py
@@ -1303,7 +1303,7 @@ def check_flowchart(self, preceding):
         [str]
             The warnings, as seamm.Problem with their fixes; empty if none.
         """
-        return self._overwriting_steps()
+        return self._overwriting_steps() + self._fixed_seeds()
 
     def _overwriting_steps(self):
         """The warnings for the body's steps that overwrite the shared structure."""
@@ -1347,6 +1347,42 @@ def _overwriting_steps(self):
             )
         return problems
 
+    def _fixed_seeds(self):
+        """Warnings for steps in the body that seed their random numbers with a
+        fixed value: every iteration gets the same random numbers, so runs that
+        start from the same structure are the same run."""
+        try:
+            from seamm.problems import WARNING, Edit, Fix, Problem
+        except ImportError:  # seamm before 2026.10.17
+            return []
+        if _static(self.parameters, "type") in (None, "For systems in the database"):
+            return []
+        problems = []
+        for node in self._body_nodes():
+            seed = _static(node.parameters, "seed")
+            if seed is None or str(seed).strip().lower() == "random":
+                continue
+            if node.parameters is not None and hasattr(node.parameters, "applies"):
+                values = {k: p.value for k, p in node.parameters.items()}
+                if not node.parameters.applies("seed", values):
+                    continue
+            fix = Fix(
+                f"Use a random seed in '{node.title}'",
+                [Edit(node, "seed", "random")],
+            )
+            problems.append(
+                Problem(
+                    f"'{node.title}' in the loop '{self.title}' uses the fixed random "
+                    f"seed {seed}, so every iteration gets the same random numbers: "
+                    "iterations that start from the same structure are the same run, "
+                    "not independent replicas. Use a random seed, or one that depends "
+                    "on the loop variable.",
+                    severity=WARNING,
+                    fixes=[fix],
+                )
+            )
+        return problems
+
     def _body_nodes(self):
         """The steps in the loop's body, including those inside sub-flowcharts."""
         from seamm import format3
diff --git a/tests/test_check_flowchart.py b/tests/test_check_flowchart.py
index 5872f07..1e7d0ee 100644
--- a/tests/test_check_flowchart.py
+++ b/tests/test_check_flowchart.py
@@ -102,3 +102,57 @@ def test_a_step_inside_a_body_step():
 def test_no_warning(settings):
     flowchart, loop, step = make(**settings)
     assert validate(flowchart, warnings=True) == []
+
+
+class Velocities(seamm.Node):
+    """A step with a random seed, as LAMMPS's Velocities sub-step has."""
+
+    def __init__(self, flowchart, seed="random"):
+        super().__init__(flowchart=flowchart, title="Velocities", extension="Step")
+        self.parameters = seamm.Parameters(
+            defaults={
+                "seed": {
+                    "default": "random",
+                    "kind": "integer",
+                    "default_units": None,
+                    "enumeration": ("random",),
+                    "format_string": "",
+                    "description": "Random seed:",
+                    "help_text": "The seed.",
+                }
+            }
+        )
+        self.parameters["seed"].value = seed
+
+
+def seeded(seed, parallel="no", kind="For"):
+    flowchart = seamm.Flowchart()
+    loop = loop_step.Loop(flowchart=flowchart)
+    flowchart.add_node(loop)
+    _connect(flowchart, flowchart.get_node("1"), loop, "next")
+    step = Velocities(flowchart, seed)
+    flowchart.add_node(step)
+    _connect(flowchart, loop, step, "loop")
+    _connect(flowchart, step, loop, "next")
+    loop.parameters["parallel"].value = parallel
+    loop.parameters["type"].value = kind
+    return flowchart, step
+
+
+@pytest.mark.parametrize("parallel", ["no", "yes"])
+def test_a_fixed_seed_in_a_loop(parallel):
+    flowchart, step = seeded("12345", parallel)
+    (problem,) = validate(flowchart, warnings=True)
+    assert "fixed random seed 12345" in problem
+    problem.fixes[0].apply()
+    assert step.parameters["seed"].value == "random"
+    assert validate(flowchart, warnings=True) == []
+
+
+@pytest.mark.parametrize(
+    "seed, kind",
+    [("random", "For"), ("$seed", "For"), ("12345", "For systems in the database")],
+)
+def test_no_seed_warning(seed, kind):
+    flowchart, step = seeded(seed, kind=kind)
+    assert validate(flowchart, warnings=True) == []