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Sandbox Physics

A galaxy meets the cluster wind

Ram Pressure Stripping and Returning Gas

Can gas leave a galaxy disk and still fall back? A cluster wind can lift disk gas without giving it enough energy to escape. As the pressure pulse fades, some bound gas falls back. Measure displacement and binding separately: a long visible tail does not by itself tell you how much fuel the galaxy has permanently lost.

Follow gas stripped from a galaxy on five computed cluster paths. Compare gas outside the disk, gravitational binding and fuel for star formation.

Interactive modelRam Pressure Stripping and Returning Gas
Radius enclosing 90% of disk gas7.01 kpc7.01\,\mathrm{kpc}
Gas outside the disk volume26.6 %26.6\,\%
Currently unbound gas0 %0\,\%
Star formation inside the disk0.186 M⊙ yr−10.186\,\mathrm{M}_\odot\,\mathrm{yr}^{-1}
Bound gas inside diskBound gas outside diskCurrently positive energy
Which initial gas sheets were lifted?

The horizontal coordinate is the initial radius. Select one sheet with the gold probe to follow its saved trajectory.

i=51i=51

Where the gas is still forming stars

Gold: disk volume. Blue: every gas sheet. The global curve is identical for all five paths under the specified consumption law.

The incident pulse sampled at the galaxy centre

Every sheet receives this same incident density and wind speed. Its actual force also depends on its own normal velocity and remaining gas column.

Global stellar light: a separate history exercise

These global bands combine an initially ten-billion-year-old population with the specified young-star history. They stay identical across impact paths. The optional shutdown at650Myr is an input counterfactual, not an outcome of the wind.

Gold: the shared continuing history. Rose: the separately specified shutdown. Both use solar-metallicity Salpeter BC03 spectra. SSP mass return changes the population light model; it does not feed the zero-return gas calculation. No disk or tail colours are assigned.

Mass, work and the selected source identity

The external reservoir supplies work and dissipated energy. No finite ICM reaction, thermal spectrum or newborn-star spatial distribution is inferred.

Physics tutorial

Gas outside the disk can still belong to the galaxy

BackgroundA galaxy crossing a cluster meets hot, dilute gas. In the galaxy frame that gas arrives as a wind. The wind pushes on the diffuse gas disk, while stars and dark matter supply gravity.

Why it mattersThe gas responds to the whole pressure history. Its position near peak pressure and its eventual binding answer different questions.

Start with the essentials

Focus question
Does leaving the disk mean escaping the gravitational potential?
One-sentence intuition
Displacement is a position test. Binding also requires velocity and gravitational potential.

Core mathematical model

The pressure scale of the incident wind

Pinc(t)=ρCOM(t)V2,Fz=AρCOM∣V−vz∣(V−vz)P_{\rm inc}(t)=\rho_{\rm COM}(t)V^2,\qquad F_z=A\rho_{\rm COM}|V-v_z|(V-v_z)

The incoming speed VV is fixed. Each sheet has area AA and normal velocity vzv_z. The density is sampled once at the galaxy centre and used for every sheet. The finite pulse follows a straight path through a tapered beta profile.

Position and binding

D={R≤16 kpc, ∣z∣≤1 kpc},e=12∣v∣2+Φext\mathcal D=\{R\leq16\,\mathrm{kpc},\ |z|\leq1\,\mathrm{kpc}\},\qquad e=\tfrac12|\mathbf v|^2+\Phi_{\rm ext}

The blue cylinder marks the finite disk volume. Gas outside it can still have negative specific energy. Positive energy describes the current fixed potential; the wind may continue doing work later.

A specified gas-consumption law

m˙=−mτ⋆,τ⋆=2 Gyr,SFRD=∑i∈Dmiτ⋆\dot m=-\frac m{\tau_\star},\quad\tau_\star=2\,\mathrm{Gyr},\qquad {\rm SFR}_{\mathcal D}=\sum_{i\in\mathcal D}\frac{m_i}{\tau_\star}

Every sheet keeps forming stars at the specified rate wherever it moves, with zero returned mass. The disk-volume rate changes as gas crosses the boundary. Summing every sheet gives the same global rate for every path.

Where force work and dissipated energy go

W˙=Fzvz,Q˙=Fz(V−vz)≥0,E˙in=FzV=W˙+Q˙\dot W=F_zv_z,\qquad\dot Q=F_z(V-v_z)\geq0,\qquad\dot E_{\rm in}=F_zV=\dot W+\dot Q

The external wind is a prescribed reservoir. Its input splits into mechanical work and relative-motion dissipation; this does not evolve the finite cluster gas or predict radiation. The saved birth-energy inventory also follows mass removed from the gas.

Common difficulties

A long tail and permanent loss

Typical misconceptionEvery tail point has escaped.

Better mental modelCompare the outside fraction with the currently unbound fraction. Then watch A returning tail. Bound gas can cross the disk boundary twice.

Star formation inside a chosen volume

Typical misconceptionA falling disk rate proves the whole galaxy has shut down.

Better mental modelThe model keeps the same consumption law outside the disk. Its global rate is deliberately wind-independent. The disk measurement reveals fuel transport, not a calculated global shutdown.

Run the experiment

  1. 01

    Follow the strongest encounter

    Start with Through the centre. Pause near closest approach and drag the gold probe into the tail.

    What to observe: The probe selects a real radial sheet. Its position, velocity, binding and saved energy all refer to the same time.
  2. 02

    Watch gas return

    Choose A returning tail, then replay from the common start. Compare its disk rate before and after the pressure peak.

    What to observe: Gas can be lifted beyond the disk boundary and later return. A recovery of the disk rate follows the same actual gas positions.
  3. 03

    Change the path, keep the camera separate

    Drag the galaxy to switch among five computed paths before releasing the pointer. Drag the background to turn the camera.

    What to observe: Changing the path selects another complete trajectory. Camera rotation reveals depth and leaves every physical value unchanged.

Sources and model context

  • Köppen et al. (2018) — finite ram-pressure pulses, impulse and fallback. The trajectories here are independent computations with the stated fixed-potential and fuel assumptions.
  • Xie et al. (2025) — differences between stripping algorithms and exposure histories; published medians are not individual galaxy trajectories.
  • BC03 / EzGal, fixed teaching input — Bruzual and Charlot population models; EzGal by Conor Mancone and Anthony Gonzalez. Only our band integrals are included; original spectra are fetched separately. The fixed distribution notice is retained with this feature.
Fixed distribution and dependency notices

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of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.

Related experiments and articles

Ram pressure and returning gas · Reading path

From a wind pulse to gas and stellar light

Articles on this path that use this experiment, followed by the other experiments they suggest.

  1. ArticleWhy cluster galaxies become redder
  2. ArticleWhy a galaxy tail can fall back
  3. ArticleFrom a wind pulse to a restoring force
  4. ArticleFollow fuel across the disk boundary
  5. ArticleRecompute five fixed gas slices
  6. ArticleWhy global colour needs a history
  7. ArticleRead exposure histories and multiphase tail physics
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