diff --git a/tests/checkpoint_13_particle_generator_random.cc b/tests/checkpoint_13_particle_generator_random.cc
new file mode 100644
index 00000000000..d8eb6759968
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random.cc
@@ -0,0 +1,97 @@
+/*
+  Copyright (C) 2022 by the authors of the ASPECT code.
+
+  This file is part of ASPECT.
+
+  ASPECT is free software; you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation; either version 2, or (at your option)
+  any later version.
+
+  ASPECT is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with ASPECT; see the file LICENSE.  If not see
+  <http://www.gnu.org/licenses/>.
+*/
+
+#include <aspect/simulator.h>
+#include <iostream>
+
+/*
+ * Launch the following function when this plugin is created. Launch ASPECT
+ * twice to test checkpoint/resume and then terminate the outer ASPECT run.
+ */
+int f()
+{
+  std::cout << "* starting from beginning:" << std::endl;
+
+  // call ASPECT with "--" and pipe an existing input file into it.
+  int ret;
+  std::string command;
+
+  command = ("cd output-checkpoint_13_particle_generator_random ; "
+             "rm -rf output1.tmp ; "
+             "(cat " ASPECT_SOURCE_DIR "/tests/checkpoint_13_particle_generator_random.prm "
+             " ; "
+             " echo 'set Output directory = output1.tmp' "
+             ") "
+             "| env -i OMPI_ALLOW_RUN_AS_ROOT=1 OMPI_ALLOW_RUN_AS_ROOT_CONFIRM=1 PATH=\"$PATH\" mpirun --oversubscribe -np 2 ../../aspect -- > /dev/null");
+  std::cout << "Executing the following command:\n"
+            << command
+            << std::endl;
+  ret = system (command.c_str());
+  if (ret!=0)
+    std::cout << "system() returned error " << ret << std::endl;
+
+  command = ("cd output-checkpoint_13_particle_generator_random ; "
+             " rm -rf output2.tmp ; mkdir output2.tmp ; "
+             " mv output1.tmp/restart output2.tmp/");
+  std::cout << "Executing the following command:\n"
+            << command
+            << std::endl;
+  ret = system (command.c_str());
+  if (ret!=0)
+    std::cout << "system() returned error " << ret << std::endl;
+
+
+  std::cout << "* now resuming:" << std::endl;
+  command = ("cd output-checkpoint_13_particle_generator_random ; "
+             "(cat " ASPECT_SOURCE_DIR "/tests/checkpoint_13_particle_generator_random.prm "
+             " ; "
+             " echo 'set Output directory = output2.tmp' "
+             " ; "
+             " echo 'set Resume computation = true' "
+             ") "
+             "| env -i OMPI_ALLOW_RUN_AS_ROOT=1 OMPI_ALLOW_RUN_AS_ROOT_CONFIRM=1 PATH=\"$PATH\" mpirun --oversubscribe -np 2 ../../aspect -- > /dev/null");
+  std::cout << "Executing the following command:\n"
+            << command
+            << std::endl;
+  ret = system (command.c_str());
+  if (ret!=0)
+    std::cout << "system() returned error " << ret << std::endl;
+
+  std::cout << "* now comparing:" << std::endl;
+
+  ret = system ("cd output-checkpoint_13_particle_generator_random ; "
+                "cp output1.tmp/particles/particles-00006.0000.gnuplot particles-00006.0000.gnuplot1;"
+                "cp output2.tmp/particles/particles-00006.0000.gnuplot particles-00006.0000.gnuplot2;"
+                "cp output1.tmp/log.txt log.txt1;"
+                "cp output2.tmp/log.txt log.txt2;"
+                "cp output1.tmp/statistics statistics1;"
+                "cp output2.tmp/statistics statistics2;"
+                "");
+  if (ret!=0)
+    std::cout << "system() returned error " << ret << std::endl;
+
+  // terminate current process:
+  exit (0);
+  return 42;
+}
+
+
+// run this function by initializing a global variable by it
+int i = f();
diff --git a/tests/checkpoint_13_particle_generator_random.prm b/tests/checkpoint_13_particle_generator_random.prm
new file mode 100644
index 00000000000..d7ba8b66412
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random.prm
@@ -0,0 +1,104 @@
+# Test checkpoint/restart of Particle::Generator::Interface's random-number
+# generator. The checkpoint at step 4 precedes refinement at model time 0.5.
+# Refinement creates underpopulated cells, which triggers random particle
+# insertion. The continuous and resumed particle locations are compared at
+# step 6.
+
+set Dimension = 2
+set CFL number                             = 1.0
+set Maximum time step                       = 0.1
+set End time                               = 0.6
+set Start time                             = 0
+set Adiabatic surface temperature          = 0
+set Surface pressure                       = 0
+set Use years instead of seconds           = false
+set Nonlinear solver scheme                = single Advection, single Stokes
+
+subsection Checkpointing
+  set Steps between checkpoint = 4
+end
+
+subsection Gravity model
+  set Model name = vertical
+end
+
+subsection Geometry model
+  set Model name = box
+
+  subsection Box
+    set X extent = 1.2
+    set Y extent = 1
+    set Z extent = 1
+  end
+end
+
+subsection Initial temperature model
+  set List of model names = perturbed box
+end
+
+subsection Material model
+  set Model name = simple
+
+  subsection Simple model
+    set Reference density             = 1
+    set Reference specific heat       = 1250
+    set Reference temperature         = 1
+    set Thermal conductivity          = 1e-6
+    set Thermal expansion coefficient = 2e-5
+    set Viscosity                     = 1
+  end
+end
+
+subsection Mesh refinement
+  set Initial adaptive refinement        = 0
+  set Initial global refinement          = 5
+  set Time steps between mesh refinement = 5
+  set Additional refinement times        = 0.5
+  set Strategy                           = minimum refinement function
+
+  subsection Minimum refinement function
+    set Variable names      = x,y,t
+    set Function expression = if(t > 0.4, 6, 5)
+  end
+end
+
+subsection Boundary velocity model
+  set Tangential velocity boundary indicators = 1
+  set Zero velocity boundary indicators       = 0, 2, 3
+end
+
+subsection Postprocess
+  set List of postprocessors = composition statistics, temperature statistics, velocity statistics, particles
+
+  subsection Particles
+    set Time between data output = 0
+    set Data output format = ascii
+  end
+end
+
+subsection Termination criteria
+  set Checkpoint on termination = false
+end
+
+subsection Solver parameters
+  subsection Stokes solver parameters
+    set Use direct solver for Stokes system = true
+  end
+end
+
+subsection Particles
+  set List of particle properties = function, initial position, position, velocity
+  set Minimum particles per cell = 2
+  set Load balancing strategy = add particles
+
+  subsection Function
+    set Variable names      = x,z
+    set Function expression = if( (z>0.2+0.02*cos(pi*x/0.9142)) , 0 , 1 )
+  end
+
+  subsection Generator
+    subsection Random uniform
+      set Number of particles = 1000
+    end
+  end
+end
diff --git a/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot1 b/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot1
new file mode 100644
index 00000000000..8e75cb0cd3a
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot1
@@ -0,0 +1,8205 @@
+# This file was generated by the deal.II library.
+
+
+#
+# For a description of the GNUPLOT format see the GNUPLOT manual.
+#
+# <x> <y> <id> <function> <initial position> <initial position> <position> <position> <velocity> <velocity> 
+0.00640335 0.00544164 0 1 0.00640335 0.00544164 0.00640335 0.00544164 -8.09403e-13 5.91353e-13 
+
+0.00561158 0.0155501 2142 1 0.00640335 0.00544164 0.00561158 0.0155501 -1.04363e-12 -1.15043e-13 
+
+0.0257521 0.0112704 2143 1 0.00640335 0.00544164 0.0257521 0.0112704 6.40635e-12 -2.7075e-12 
+
+0.0193179 0.00671329 2144 1 0.00640335 0.00544164 0.0193179 0.00671329 6.12921e-13 4.91124e-13 
+
+0.00392385 0.0261052 2145 1 0.00640335 0.00544164 0.00392385 0.0261052 -1.39505e-13 -2.04824e-12 
+
+0.0102433 0.0167417 2146 1 0.00640335 0.00544164 0.0102433 0.0167417 -3.0822e-13 -1.20323e-12 
+
+0.0301266 0.0156868 1000 1 0.00640335 0.00544164 0.0301266 0.0156868 1.62589e-11 -9.51442e-12 
+
+0.0266281 0.0204968 2147 1 0.00640335 0.00544164 0.0266281 0.0204968 1.75703e-11 -1.3976e-11 
+
+0.0476877 0.014756 2148 1 0.0377565 0.00472277 0.0476878 0.014756 4.67178e-11 -1.83063e-11 
+
+0.0511406 0.00475151 2149 1 0.0377565 0.00472277 0.0511406 0.00475151 1.64303e-11 -2.58088e-12 
+
+0.0691097 0.0040039 2 1 0.0691097 0.0040039 0.0691097 0.0040039 2.8836e-11 -2.51799e-12 
+
+0.0693377 0.0055792 2150 1 0.0691097 0.0040039 0.0693377 0.0055792 4.05678e-11 -4.41474e-12 
+
+0.0391613 0.0164269 2151 1 0.0452082 0.0192477 0.0391613 0.0164269 3.33686e-11 -1.75964e-11 
+
+0.046147 0.0248891 2152 1 0.0452082 0.0192477 0.046147 0.0248891 7.99887e-11 -4.80152e-11 
+
+0.068819 0.0242586 1 1 0.068819 0.0242586 0.068819 0.0242586 1.77324e-10 -6.5333e-11 
+
+0.0736357 0.0174654 2153 1 0.068819 0.0242586 0.0736357 0.0174654 1.46355e-10 -3.64491e-11 
+
+0.000497446 0.0335164 2154 1 0.00640335 0.00544164 0.000497446 0.0335164 1.61077e-14 -5.33721e-13 
+
+0.00929082 0.0427884 2155 1 0.00640335 0.00544164 0.00929082 0.0427884 7.10983e-12 -2.22066e-11 
+
+0.0285273 0.0441458 2156 1 0.0273678 0.0247158 0.0285273 0.0441458 6.12213e-11 -8.44031e-11 
+
+0.0286763 0.036932 2157 1 0.0273678 0.0247158 0.0286763 0.036932 5.026e-11 -5.79173e-11 
+
+0.00578174 0.048726 2158 1 0.0157957 0.0463603 0.00578174 0.048726 3.71959e-12 -1.89528e-11 
+
+0.00125284 0.0607664 2159 1 0.0157957 0.0463603 0.00125284 0.0607664 5.17679e-13 -7.19499e-12 
+
+0.0278404 0.0559805 1001 1 0.0288103 0.0454122 0.0278404 0.0559805 7.47983e-11 -1.36328e-10 
+
+0.0192954 0.0566403 1002 1 0.0288103 0.0454122 0.0192954 0.0566403 3.79313e-11 -9.54197e-11 
+
+0.0437007 0.0337441 1003 1 0.0678541 0.0425679 0.0437007 0.0337441 1.03991e-10 -8.18988e-11 
+
+0.0443688 0.0388009 2160 1 0.0678541 0.0425679 0.0443688 0.0388009 1.25153e-10 -1.08985e-10 
+
+0.0678541 0.0425679 3 1 0.0678541 0.0425679 0.0678541 0.0425679 3.02849e-10 -1.87569e-10 
+
+0.0740059 0.0446861 2161 1 0.0678541 0.0425679 0.0740059 0.0446861 3.70734e-10 -2.17404e-10 
+
+0.0427886 0.0471315 2162 1 0.0483322 0.04399 0.0427886 0.0471315 1.43242e-10 -1.52672e-10 
+
+0.053405 0.0586707 2163 1 0.0483322 0.04399 0.053405 0.0586707 2.63975e-10 -2.8143e-10 
+
+0.0631264 0.049465 2164 1 0.0580931 0.043279 0.0631264 0.049465 3.05169e-10 -2.34208e-10 
+
+0.0610361 0.0482072 2165 1 0.0580931 0.043279 0.0610361 0.0482072 2.8056e-10 -2.17756e-10 
+
+0.0899032 0.00241711 2166 1 0.0958018 0.00802593 0.0899032 0.00241711 3.10036e-11 -1.37399e-12 
+
+0.0814734 0.00507382 2167 1 0.0958018 0.00802593 0.0814734 0.00507382 5.30036e-11 -4.17032e-12 
+
+0.102355 0.0120785 1005 1 0.109148 0.0100369 0.102355 0.0120785 1.93488e-10 -2.18376e-11 
+
+0.104592 0.0107375 2168 1 0.109148 0.0100369 0.104592 0.0107375 1.79576e-10 -1.77051e-11 
+
+0.082469 0.0271582 1004 1 0.109148 0.0100369 0.082469 0.0271582 2.83164e-10 -9.1134e-11 
+
+0.0817789 0.0159848 2169 1 0.109148 0.0100369 0.0817789 0.0159848 1.66213e-10 -3.30427e-11 
+
+0.111394 0.0189105 2170 1 0.109148 0.0100369 0.111394 0.0189105 3.44244e-10 -5.11465e-11 
+
+0.0942404 0.024886 2171 1 0.109148 0.0100369 0.0942404 0.024886 3.32082e-10 -8.23329e-11 
+
+0.118907 0.00514926 2172 1 0.12924 0.00798979 0.118907 0.00514926 1.10047e-10 -4.95452e-12 
+
+0.114103 0.00689944 2173 1 0.12924 0.00798979 0.114103 0.00689944 1.36482e-10 -8.1114e-12 
+
+0.149332 0.00594264 4 1 0.149332 0.00594264 0.149332 0.00594264 1.80763e-10 -6.00175e-12 
+
+0.145436 0.000433235 1006 1 0.149332 0.00594264 0.145436 0.000433235 1.29732e-11 -1.45054e-13 
+
+0.126616 0.0295153 2174 1 0.119194 0.00901337 0.126616 0.0295153 6.35087e-10 -1.20956e-10 
+
+0.118667 0.0233258 2175 1 0.119194 0.00901337 0.118667 0.0233258 4.64563e-10 -7.68719e-11 
+
+0.134103 0.0268653 2176 1 0.138751 0.0175958 0.134103 0.0268653 6.37546e-10 -1.00458e-10 
+
+0.132867 0.023251 2177 1 0.138751 0.0175958 0.132867 0.023251 5.52724e-10 -7.62958e-11 
+
+0.0798946 0.0315705 1007 1 0.101243 0.0456693 0.0798946 0.0315705 3.08871e-10 -1.19642e-10 
+
+0.087929 0.0435286 2178 1 0.101243 0.0456693 0.087929 0.0435286 4.90133e-10 -2.28183e-10 
+
+0.112222 0.0369346 2179 1 0.103878 0.0337918 0.112222 0.0369346 6.37831e-10 -1.83142e-10 
+
+0.103344 0.0315056 2180 1 0.103878 0.0337918 0.103344 0.0315056 4.84057e-10 -1.33667e-10 
+
+0.0772731 0.0537496 2181 1 0.0868597 0.0448725 0.0772731 0.0537496 4.69888e-10 -3.11703e-10 
+
+0.0913524 0.0551187 2182 1 0.0868597 0.0448725 0.0913524 0.0551187 6.36082e-10 -3.54714e-10 
+
+0.105975 0.0530106 1008 1 0.101243 0.0456693 0.105975 0.0530106 7.83703e-10 -3.47785e-10 
+
+0.103918 0.0515468 2183 1 0.101243 0.0456693 0.103918 0.0515468 7.42899e-10 -3.29209e-10 
+
+0.128535 0.0457001 2184 1 0.1236 0.0268789 0.128535 0.0457001 9.38026e-10 -2.71795e-10 
+
+0.119584 0.0387052 2185 1 0.1236 0.0268789 0.119584 0.0387052 7.34108e-10 -2.01026e-10 
+
+0.147666 0.0313474 5 1 0.147666 0.0313474 0.147666 0.0313474 8.37342e-10 -1.31804e-10 
+
+0.147791 0.0443156 6 1 0.147791 0.0443156 0.147791 0.0443156 1.1155e-09 -2.50055e-10 
+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
+0.0780951 0.0822668 2217 1 0.0802417 0.0922407 0.078095 0.0822668 6.58857e-10 -6.65416e-10 
+
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+
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+
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diff --git a/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot2 b/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot2
new file mode 100644
index 00000000000..8e75cb0cd3a
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random/particles-00006.0000.gnuplot2
@@ -0,0 +1,8205 @@
+# This file was generated by the deal.II library.
+
+
+#
+# For a description of the GNUPLOT format see the GNUPLOT manual.
+#
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+
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+
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+
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+
diff --git a/tests/checkpoint_13_particle_generator_random/screen-output b/tests/checkpoint_13_particle_generator_random/screen-output
new file mode 100644
index 00000000000..89406344828
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random/screen-output
@@ -0,0 +1,11 @@
+
+Loading shared library <./libcheckpoint_13_particle_generator_random.debug.so>
+* starting from beginning:
+Executing the following command:
+cd output-checkpoint_13_particle_generator_random ; rm -rf output1.tmp ; (cat $ASPECT_SOURCE_DIR/tests/checkpoint_13_particle_generator_random.prm  ;  echo 'set Output directory = output1.tmp' ) | env -i OMPI_ALLOW_RUN_AS_ROOT=1 OMPI_ALLOW_RUN_AS_ROOT_CONFIRM=1 PATH="$PATH" mpirun --oversubscribe -np 2 ../../aspect -- > /dev/null
+Executing the following command:
+cd output-checkpoint_13_particle_generator_random ;  rm -rf output2.tmp ; mkdir output2.tmp ;  mv output1.tmp/restart output2.tmp/
+* now resuming:
+Executing the following command:
+cd output-checkpoint_13_particle_generator_random ; (cat $ASPECT_SOURCE_DIR/tests/checkpoint_13_particle_generator_random.prm  ;  echo 'set Output directory = output2.tmp'  ;  echo 'set Resume computation = true' ) | env -i OMPI_ALLOW_RUN_AS_ROOT=1 OMPI_ALLOW_RUN_AS_ROOT_CONFIRM=1 PATH="$PATH" mpirun --oversubscribe -np 2 ../../aspect -- > /dev/null
+* now comparing:
diff --git a/tests/checkpoint_13_particle_generator_random/statistics1 b/tests/checkpoint_13_particle_generator_random/statistics1
new file mode 100644
index 00000000000..31e1e611f0b
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random/statistics1
@@ -0,0 +1,21 @@
+# 1: Time step number
+# 2: Time (seconds)
+# 3: Time step size (seconds)
+# 4: Number of mesh cells
+# 5: Number of Stokes degrees of freedom
+# 6: Number of temperature degrees of freedom
+# 7: Iterations for temperature solver
+# 8: Minimal temperature (K)
+# 9: Average temperature (K)
+# 10: Maximal temperature (K)
+# 11: RMS velocity (m/s)
+# 12: Max. velocity (m/s)
+# 13: Number of advected particles
+# 14: Particle file name
+0 0.000000000000e+00 0.000000000000e+00 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984042e-09 1.52032532e-08 2142 output1.tmp/particles/particles-00000 
+1 1.000000000000e-01 1.000000000000e-01 1024  9539  4225 3 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984041e-09 1.52032531e-08 2142 output1.tmp/particles/particles-00001 
+2 2.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984039e-09 1.52032530e-08 2142 output1.tmp/particles/particles-00002 
+3 3.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984038e-09 1.52032530e-08 2142 output1.tmp/particles/particles-00003 
+4 4.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984037e-09 1.52032529e-08 2142 output1.tmp/particles/particles-00004 
+5 5.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984036e-09 1.52032528e-08 2142 output1.tmp/particles/particles-00005 
+6 6.000000000000e-01 1.000000000000e-01 4096 37507 16641 3 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984660e-09 1.52032518e-08 8197 output1.tmp/particles/particles-00006 
diff --git a/tests/checkpoint_13_particle_generator_random/statistics2 b/tests/checkpoint_13_particle_generator_random/statistics2
new file mode 100644
index 00000000000..c122c620ffe
--- /dev/null
+++ b/tests/checkpoint_13_particle_generator_random/statistics2
@@ -0,0 +1,21 @@
+# 1: Time step number
+# 2: Time (seconds)
+# 3: Time step size (seconds)
+# 4: Number of mesh cells
+# 5: Number of Stokes degrees of freedom
+# 6: Number of temperature degrees of freedom
+# 7: Iterations for temperature solver
+# 8: Minimal temperature (K)
+# 9: Average temperature (K)
+# 10: Maximal temperature (K)
+# 11: RMS velocity (m/s)
+# 12: Max. velocity (m/s)
+# 13: Number of advected particles
+# 14: Particle file name
+0 0.000000000000e+00 0.000000000000e+00 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984042e-09 1.52032532e-08 2142 output1.tmp/particles/particles-00000 
+1 1.000000000000e-01 1.000000000000e-01 1024  9539  4225 3 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984041e-09 1.52032531e-08 2142 output1.tmp/particles/particles-00001 
+2 2.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984039e-09 1.52032530e-08 2142 output1.tmp/particles/particles-00002 
+3 3.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984038e-09 1.52032530e-08 2142 output1.tmp/particles/particles-00003 
+4 4.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984037e-09 1.52032529e-08 2142 output2.tmp/particles/particles-00004 
+5 5.000000000000e-01 1.000000000000e-01 1024  9539  4225 0 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984036e-09 1.52032528e-08 2142 output2.tmp/particles/particles-00005 
+6 6.000000000000e-01 1.000000000000e-01 4096 37507 16641 3 1.00000000e+00 1.04052848e+00 1.10000000e+00 5.91984660e-09 1.52032518e-08 8197 output2.tmp/particles/particles-00006