Sub-millisecond electrical explosion of thin Aluminium foil: Explosion dynamics, Material Phase transitions and Plasma formation

Aditya Nandan Savita; IVV Suryaprasad; Neraj Shiv; Sambaran Pahari

arxiv: 2605.19585 · v1 · pith:4WMIDHVBnew · submitted 2026-05-19 · ⚛️ physics.plasm-ph · physics.app-ph

Sub-millisecond electrical explosion of thin Aluminium foil: Explosion dynamics, Material Phase transitions and Plasma formation

Aditya Nandan Savita , Sambaran Pahari , Neraj Shiv , IVV Suryaprasad This is my paper

Pith reviewed 2026-05-20 02:09 UTC · model grok-4.3

classification ⚛️ physics.plasm-ph physics.app-ph

keywords electrical explosionaluminum foilplasma formationphase transitionsarc formationspecific actionvoltage diagnostics

0 comments

The pith

Arc formation is essential for plasma to appear in the sub-millisecond electrical explosion of thin aluminum foil.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The experiments track 13-micron aluminum foils driven by a 5 kV capacitive discharge and record voltage traces alongside high-speed images. Twin voltage peaks mark the melting and vaporization stages, while a subsequent dip corresponds to the onset of arc formation through dark, glow, and arc regimes. A phenomenological model based on the integral of specific action reproduces the observed transition points and agrees with earlier Tucker-Toth values. The work concludes that plasma only forms once the arc stage is reached.

Core claim

Twin peaks in the voltage waveform identify the melting and vaporization of the foil; these are followed by a novel voltage dip that signals arc formation, and the experiments show that this arc stage is required for plasma to develop.

What carries the argument

The novel voltage dip interpreted as the progression through dark, glow, and arc regions of arc formation.

If this is right

The integral of specific action can be used to locate the melting and vaporization points in the electrical trace.
The specific-action values measured here fall within the range reported by Tucker and Toth.
Plasma appears only after the foil has passed through the identified arc stage.
High-speed framing images can be aligned with the electrical signatures to confirm hot-spot and radiation timing.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Similar voltage-based diagnostics could be applied to other thin-metal explosions to test whether arc formation is generally required for plasma.
If the arc stage can be suppressed or accelerated, the timing and properties of the resulting plasma might be controlled.
The causal link could be tested by varying circuit inductance or foil thickness to shift the relative timing of the dip and plasma onset.

Load-bearing premise

The observed voltage dip is produced by arc formation and this arc stage is causally required for plasma rather than merely correlated with it.

What would settle it

Detection of plasma radiation or emission before the voltage dip or in the complete absence of the dip would show that arc formation is not required.

read the original abstract

Experiments with thin 13 microns thick Al-foils have been carried out to explain its explosion dynamics, accompanying phase transitions and its relation to formation of plasma. Fast framing cameras were used to record the foil radiation during explosion process and have been correlated with electrical diagnostics to understand the underlying process such as hot spot formation and foil radiation. The electrical explosion was driven by pulsed power for which a capacitive power supply of rating 5kV,0.93mF was used. Our experiments have obtained experimental signatures to identify phases and transitions. Twin-peaks in voltage across the electrodes are repeatedly observed corresponding to melting and vaporization of aluminium foil followed by a Novel dip in voltage across the foil. To explain the signatures a phenomenological theory has been proposed and is validated in terms of integral of specific action. The experimentally obtained specific actions are in reasonable agreement with Tucker-Toth data. The Novel dip in voltage across the foil corresponding to Arc formation with Dark, Glow and Arc regions are identified. Our experiments also show that arc formation is essential for plasma formation.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper reports a voltage dip after the vaporization peak that lines up with arc stages in the camera frames, but the claim that arc formation is essential for plasma rests only on timing correlation without a test that breaks the link.

read the letter

The key observation here is the voltage dip that follows the expected twin peaks for melting and vaporization in these 13-micron aluminum foils. The authors tie that dip to the onset of arc formation, with framing-camera images showing the progression through dark, glow, and arc regions, and they conclude that the arc step is required for plasma to appear. The specific-action integrals they calculate for the earlier phases sit close to the Tucker-Toth values, which gives a useful external check on the melting and vaporization timing. The electrical setup is a standard 5 kV capacitive pulser, and the diagnostics are straightforward voltage traces plus fast imaging. That combination produces repeatable signatures that could serve as practical markers for people who run similar pulsed-power experiments. The new element is the explicit identification of the dip and its association with the arc phases in the images; that detail does not appear in the cited prior work. The soft spot is the causal step. The records show the dip, the arc regions, and plasma radiation all occurring together, but the experiment does not vary circuit parameters, foil thickness, or background conditions to suppress the dip while still watching for plasma. Without that kind of separation, the data establish sequence and co-occurrence rather than necessity. The phenomenological model is checked against the same dataset used to define the phases, so it adds limited independent support. This is the sort of incremental experimental note that belongs in a specialized journal on high-energy-density physics or pulsed-power diagnostics. Readers who build or diagnose exploding-foil systems would find the voltage-image timing correlations worth examining, even if they treat the necessity claim as a hypothesis rather than a settled result. I would send it to peer review. The raw traces and images are concrete enough for referees to verify the repeatability and the specific-action agreement, and the interpretation can be tightened in revision.

Referee Report

2 major / 2 minor

Summary. The manuscript reports experiments on the electrical explosion of 13 μm thick aluminum foils driven by a 5 kV, 0.93 mF capacitive pulsed-power supply. Twin voltage peaks are observed and attributed to melting and vaporization, followed by a novel voltage dip interpreted as arc formation exhibiting dark, glow, and arc regions. Framing-camera images are correlated with electrical diagnostics to identify hot-spot formation and radiation. A phenomenological theory is proposed and checked via the integral of specific action, yielding values in reasonable agreement with the Tucker-Toth tabulation. The authors conclude that arc formation is essential for plasma formation.

Significance. The repeated observation of voltage peaks and the quantitative match of specific-action integrals to the external Tucker-Toth data set constitute a reproducible experimental anchor for the early phase-transition sequence in sub-millisecond foil explosions. If the causal necessity of the arc stage for plasma formation can be demonstrated, the work would strengthen the link between electrical signatures and plasma initiation in pulsed-power foil experiments, with potential relevance to high-energy-density diagnostics.

major comments (2)

[Abstract] Abstract: The central claim that 'arc formation is essential for plasma formation' rests on the temporal correlation between the observed voltage dip (and its dark/glow/arc sub-regions) and the framing-camera radiation signatures. No experiments are described that vary circuit parameters, foil thickness, or ambient conditions to suppress the dip while still monitoring plasma indicators, leaving the causal requirement untested versus simple co-occurrence.
[Results/Discussion] Results/Discussion (phenomenological theory section): The mapping of voltage features to material phases is defined within the same data set used to validate the specific-action integral against Tucker-Toth values. This reduces the independence of the phase-identification procedure and weakens the support for the subsequent claim that the arc stage is required for plasma.

minor comments (2)

[Abstract] The abstract and main text repeatedly use the capitalized phrase 'Novel dip'; this should be rendered consistently as 'novel voltage dip' or simply 'voltage dip' to avoid implying uniqueness without comparative literature.
Figure captions and text should explicitly state the temporal resolution and trigger jitter of the framing camera relative to the voltage waveform to allow readers to assess the precision of the reported correlations.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We provide point-by-point responses to the referee's major comments on the manuscript. Where appropriate, we indicate planned revisions to address the concerns while maintaining the integrity of the reported observations and analysis.

read point-by-point responses

Referee: [Abstract] Abstract: The central claim that 'arc formation is essential for plasma formation' rests on the temporal correlation between the observed voltage dip (and its dark/glow/arc sub-regions) and the framing-camera radiation signatures. No experiments are described that vary circuit parameters, foil thickness, or ambient conditions to suppress the dip while still monitoring plasma indicators, leaving the causal requirement untested versus simple co-occurrence.

Authors: The interpretation that arc formation is essential for plasma formation is based on the consistent temporal coincidence of the voltage dip with the onset of radiation in the framing-camera images across repeated shots, together with the proposed phenomenological model linking the electrical signatures to the observed plasma. We did not conduct additional experiments that deliberately suppress the voltage dip through parameter variation while monitoring plasma indicators. In the revised version we will adjust the abstract and discussion to describe the arc stage as preceding and coinciding with the observed plasma formation on the basis of the reported correlations and imaging, and we will note that parameter-variation experiments would provide a stronger test of necessity. This is a partial revision. revision: partial
Referee: [Results/Discussion] Results/Discussion (phenomenological theory section): The mapping of voltage features to material phases is defined within the same data set used to validate the specific-action integral against Tucker-Toth values. This reduces the independence of the phase-identification procedure and weakens the support for the subsequent claim that the arc stage is required for plasma.

Authors: Voltage features are mapped to melting and vaporization on the basis of characteristic electrical signatures reported in the prior literature on foil explosions; the times of these features are then used to compute the specific-action integrals, which are compared against the independent Tucker-Toth tabulation for validation. The arc-stage claim is additionally supported by the framing-camera images that show radiation beginning during the voltage dip. We will add explicit text in the phenomenological-theory section clarifying that the phase mapping rests on established literature signatures while the specific-action comparison provides an external check. This is a partial revision to improve clarity on the logical structure. revision: partial

Circularity Check

0 steps flagged

No significant circularity; analysis relies on external benchmarks

full rationale

The paper reports experimental voltage signatures (twin peaks, novel dip) from Al-foil explosions and correlates them with framing-camera images to identify melting, vaporization, and arc stages. A phenomenological theory is introduced to explain these features and is checked for consistency via the integral of specific action, which matches independent Tucker-Toth tabulated values. The assertion that arc formation is required for plasma rests on co-occurrence within the same dataset rather than a mathematical derivation that loops back to its own fitted parameters or self-citations. Because the validation step draws on external, pre-existing data and the central observations are not redefined by the model itself, the chain remains non-circular and self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the interpretation of voltage waveform features as direct markers of melting, vaporization, and arc onset, together with the assumption that the integral of specific action reliably identifies these transitions.

axioms (1)

domain assumption Voltage peaks and the subsequent dip can be unambiguously assigned to melting, vaporization, and arc formation respectively.
This mapping is used both to interpret the data and to validate the phenomenological theory.

pith-pipeline@v0.9.0 · 5732 in / 1195 out tokens · 45246 ms · 2026-05-20T02:09:34.114830+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

30 extracted references · 30 canonical work pages

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[1] [1]

Vlastós, Antonios E

Electrical explosion of tungsten wires in a vacuum. Vlastós, Antonios E. 106, s.l. : Journal of Applied Physics, 1973, Journal of Applied Physics, Vol. 44, pp. 44, 106. 10.1063/1.1661844

work page doi:10.1063/1.1661844 1973

[2] [2]

Vlastós, Antonios E

Thermodynamics of the first phase of exploded conductors. Vlastós, Antonios E. 3593, s.l. : Journal of Applied Physics, 1973, Vol. 44. doi: 10.1063/1.1662805

work page doi:10.1063/1.1662805 1973

[3] [3]

Kotov, Yu A

Electric explosion of wires as a method for preparation of nanopowders. Kotov, Yu A. s.l. : Journal of Nanoparticle Research, 2003, Vols. 5:539-550

work page 2003

[4] [4]

Harel, Y

Electrical explosion of segmented wires. Harel, Y . Me-Bar and R. s.l. : J. Appl. Phys., 1995, Vol. 79 (4)

work page 1995

[5] [5]

CNARE, EUGENE C

Observations on the Striation of Electrically Exploded Copper Foils. CNARE, EUGENE C. 1043, s.l. : Journal of Applied Physics, 1961, Vol. 32. 10.1063/1.1736156

work page doi:10.1063/1.1736156 1961

[6] [6]

Shock experiments and numerical simulations on low energy portable electrically exploding foil accelerators. A. K. Saxena, T. C. Kaushik, and Satish C. Gupta. 033508, s.l. : Rev. Sci. Instrum, 2010, Vol. 81. 10.1063/1.3327818

work page doi:10.1063/1.3327818 2010

[7] [7]

Study of Electric Explosion of Flat Micron-Thick Foils at Current Densities of (5−50)×108 A/cm2. T. A. Shelkovenkoa, S. A. Pikuza, , I. N. Tilikina, A. R. Mingaleev, L. Atoyan, and D. A. Hammer. No. 2, 236-244, s.l. : Plasma Physics Report, 2018, Vol. 44. 10.1134/S1063780X18020113

work page doi:10.1134/s1063780x18020113 2018

[8] [8]

Explosion of thin aluminum foils in air. R. Baksht, A. Pokryvailo, Y . Yankelevich, and I. Ziv. 11, s.l. : JOURNAL OF APPLIED PHYSICS, 2004, Vol. 96. https://doi.org/10.1063/1.1808482

work page doi:10.1063/1.1808482 2004

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Asmedianov, N., et al

Acceleration of a dielectric flyer by underwater electrical explosions of a metallic foil or by the generated shockwave and waterflow. Asmedianov, N., et al. 045901, s.l. : J. Appl. Phys, 2025, Vol

work page 2025

[10] [10]

https://doi.org/10.1063/5.0251820

work page doi:10.1063/5.0251820

[11] [11]

Electrothermal discharge by exploding of copper wires with different diameters. F. B Diab, MA Abd Al Halim, M.E. Abdel-khader. 32416, s.l. : Sceintific Reports, 2025, Vol. 15

work page 2025

[12] [12]

The effect of surface heterogeneities in exploding metal foils . William Neal, Nathaniel Sanchez, Brian Jensen, John Gibson, Jonathan Romero, Mike Martinez, Charles Owens, Dennis Jaramillo, Adam Iverson, Carl Carlson, Matthew Teel, Alex Derry, and Paulo Rigg. 180007, s.l. : AIP Conference Proceedings, 2018, Vol. 1979. 10.1063/1.5045040

work page doi:10.1063/1.5045040 2018

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Han, Ruoyu, et al

Characteristics of exploding metal wires in water with three discharge types. Han, Ruoyu, et al. 033302, s.l. : J. Appl. Phys, 2017, Vol. 122. https://doi.org/10.1063/1.4994009

work page doi:10.1063/1.4994009 2017

[14] [14]

Liuxia Li, Dun Qian, Xiaobing Zou, and Xinxin Wang

Effect of Deposition Energy on Underwater Electrical Wire Explosion. Liuxia Li, Dun Qian, Xiaobing Zou, and Xinxin Wang. 3813, s.l. : IEEE TRANSACTIONS ON PLASMA SCIENCE, 2018, Vol

work page 2018

[15] [15]

10.1109/TPS.2018.2811124

work page doi:10.1109/tps.2018.2811124 2018

[16] [16]

Study of the structure of exploding flat foils at superhigh current density. T. A. Shelkovenko, S. A. Pikuz, I. N. Tilikin, A. R. Mingaleev, V. M. Romanova, and D. A. Hammer. 205902, s.l. : J. Appl. Phys., 2020, Vol. 128. 10.1063/5.0019330

work page doi:10.1063/5.0019330 2020

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Litvinov, V

Particle Production by electrical explosion of a conductor. Litvinov, V. N Gavrilov and E. A. s.l. : Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1993, Vols. 6 (28-35)

work page 1993

[18] [18]

Somanand Sahoo, Alok K

Effect of energy deposition rate on plasma expansion characteristics and nanoparticle generation by electrical explosion of conductors. Somanand Sahoo, Alok K. Saxena, Trilok C. Kaushik , Satish C. Gupta. s.l. : High Energy Density Physics, 2015, Vols. 17 , 270-276. 10.1016/j.hedp.2015.10.002

work page doi:10.1016/j.hedp.2015.10.002 2015

[19] [19]

P .M.Dickson, P .J.Rae and

A review of the mechanism by which exploding bridge-wire detonators function. P .M.Dickson, P .J.Rae and. 20190120, s.l. : Proc. R. Soc. A , 2019, Vol. 475. 10.1098/rspa.2019.0120

work page doi:10.1098/rspa.2019.0120 2019

[20] [20]

Investigating the minimum post-burst energy required to function an exploding bridgewire detonator. Rae, P . J., Feagin, T. A. and Heatwole, E. M. 033301, s.l. : J. Appl. Phys., 2020, Vol. 128. 10.1063/5.0006804

work page doi:10.1063/5.0006804 2020

[21] [21]

Experimental observations of exploding bridgewire detonator function. , L. Smilowitz, et al. 215901, s.l. : J. Appl. Phys. , 2020, Vol. 128. 10.1063/5.0021288

work page doi:10.1063/5.0021288 2020

[22] [22]

Grikshtas, R., et al

Electrothermal instabilities observed by x-ray radiography of underwater sub-microsecond electrical explosions of aluminum, silver, and molybdenum wires. Grikshtas, R., et al. 032705, s.l. : Phys. Plasmas , 2025, Vol. 32. 10.1063/5.0253598

work page doi:10.1063/5.0253598 2025

[23] [23]

Liu, Zhigang, et al

Electrothermal instability in different modes of underwater electrical wire explosion. Liu, Zhigang, et al. 233301, s.l. : J. Appl. Phys. , , 2023, Vol. 134. 10.1063/5.0185307

work page doi:10.1063/5.0185307 2023

[24] [24]

Vanina Recoules, Patrick Renaudin, Jean Cl´erouin, Pierre Noiret, and Gilles Z´erah

Electrical conductivity of hot expanded aluminum: Experimental measurements and ab initio calculations. Vanina Recoules, Patrick Renaudin, Jean Cl´erouin, Pierre Noiret, and Gilles Z´erah. 056412, s.l. : PHYSICAL REVIEW E , 2002, Vol. 66. 10.1103/PhysRevE.66.056412

work page doi:10.1103/physreve.66.056412 2002

[25] [25]

Jean Clérouin, Patrick Renaudin, Yann Laudernet, and Pierre Noiret

Electrical conductivity and equation-of-state study of warm dense copper: Measurements and quantum molecular dynamics calculations. Jean Clérouin, Patrick Renaudin, Yann Laudernet, and Pierre Noiret. 064203, s.l. : PHYSICAL REVIEW B, 2005, Vol. 71. 10.1103/PhysRevB.71.064203

work page doi:10.1103/physrevb.71.064203 2005

[26] [26]

Leonid I

Study of the Electric Explosion of Titanium Foils in Uranium Salts. Leonid I. Urutskoev, Dmitry V. Filippov. 226-235, s.l. : J. Mod. Phys, 2010, Vol. 1. doi:10.4236/jmp.2010.14034

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