{"id":"81a1c468-dfb2-41ad-b544-ae89d4fe3a22","arxiv_id":"2606.22552","paper_version":2,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":7.5,"correctness_risk":"low","formal_verification":"none","parameter_count":2,"one_line_summary":"Phase-change hysteresis of a VO2 nanoparticle near SiC produces ordinary, inverse, and passive radiative Mpemba effects, with latent heat as the thermal buffer and near-field coupling setting the timescale.","lead":"A VO2 nanoparticle near a SiC substrate can cool faster when started hotter than when started colder, because phase-change hysteresis and latent heat create mismatched cooling rates. This first radiative Mpemba effect, including a passive version with memory stored in the substrate, points to history-dependent nanoscale thermal control.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.5","headline":"No significant objection identified beyond the reader's already-flagged T-FORC kinetic model.","rationale":"The paper's strongest claim is supported by a transparent derivation (Eqs. 1–6) that does not rely on the specific form of the hysteresis model, only on the existence of a memory-carrying internal variable f whose derivatives enter the heat capacity and the power. The numerical evidence is consistent with that condition, and the passive variant (memory stored solely in substrate reflection) further isolates the radiative channel. The sole soft spot that actually controls the reported phase-space topology is the simplified T-FORC kinetics already highlighted by the reader. No stronger or independent load-bearing concern (e.g., breakdown of the dipole approximation, neglect of non-local heat transport, or inconsistency in the LDOS expressions) appears under scrutiny. Consequently the reader's CONDITIONAL verdict and its rationale stand without adjustment.","tokens_in":11735,"tokens_out":539,"duration_ms":6744,"concrete_test":"Replace the analytic T-FORC (S14) with a full Preisach density calibrated to published VO2 FORC data (or a kinetic Monte-Carlo domain model) and re-map the τ heatmaps of Figs. 2–3 for the same R=100 nm, d=500 nm, Tsub=300 K / 378 K. If the topology of the ordinary and inverse Mpemba regions remains qualitatively intact (non-empty connected domains of finite τ), the claim is robust; if the regions collapse or fragment, the kinetic idealization is essential and the CONDITIONAL status is confirmed.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim (radiative Mpemba via VO2 hysteresis + latent-heat buffering, with ordinary/inverse/passive variants) is internally consistent. The analytic onset condition (Eq. 6) correctly isolates the necessity of a structural memory mismatch Δf or Δγ, and the numerical trajectories in Figs. 2–4 follow from standard fluctuational electrodynamics plus the caloric peak L ∂f/∂T. The only load-bearing modeling choice is the simplified T-FORC (Supp. Eq. S14) that shapes the intermediate pathways and therefore the phase-space boundaries; the reader already identified this. No additional hidden inconsistency, missing term, or regime-of-validity failure was found that would independently undermine the claim.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.5","summary":"The manuscript claims to realize a radiative analogue of the Mpemba effect (ordinary, inverse, and passive) by coupling near-field radiative heat transfer to the metal-insulator hysteresis of a VO2 nanoparticle above a SiC substrate. Starting from the heat-balance equation, it derives an analytical onset condition (Eq. 6) that requires a structural memory mismatch Δf or Δγ; maps the resulting phase space of intersection times τ via numerical trajectories; attributes the anomaly primarily to latent-heat buffering of Cp; and shows that near-field coupling both sets the relaxation timescale and enables a passive variant in which memory resides solely in the substrate reflection.","tokens_in":11968,"tokens_out":992,"duration_ms":18239,"significance":"If the result holds, the work cleanly extends the Mpemba effect into radiative transport, a previously unexplored domain, and supplies a concrete, experimentally accessible platform (VO2/SiC nanoparticle-substrate geometry) together with an analytic onset criterion and three distinct manifestations. Strengths include a transparent first-order expansion of the standard heat-balance equation, exclusive use of literature optical and caloric parameters, and standard fluctuational-electrodynamics ingredients (dipole LDOS, Mie polarizabilities, Bruggeman EMA). The passive effect, in which memory is stored externally, is a conceptually novel and geometrically tunable prediction that could be tested by pump-probe microscopy. These elements make the paper a useful cornerstone for history-dependent nanoscale thermal management.","major_comments":[{"comment":"The mapped Mpemba phase-space boundaries in Figs. 2 and 3 (and the associated statements that certain temperature pairs miss each other) are controlled by the kinetic features of the simplified analytic T-FORC model introduced in Supplemental Eq. (S14). That model is explicitly constructed to suppress steep slopes of fm immediately after thermal reversal; if real domain-reorganization kinetics differ, the topology of the heatmaps and the reported intersection times can change. A quantitative sensitivity check against a full Preisach density or an alternative kinetic model is therefore load-bearing for the central numerical claim and should be supplied (or the limitation stated more prominently).","section":"Supplemental Material, Eq. (S14); Results, Figs. 2–3"},{"comment":"The claim that the caloric channel (latent-heat peak in Cp) dominates the radiative contrast ∂P/∂fm is asserted on the basis of the gradual variation of P versus the sharp peak in ∂f/∂T, yet no quantitative decomposition of the two contributions to d(ΔT)/dt along the trajectories is given. A short supplemental plot or table separating the two terms in Eq. (5) for the representative trajectories of the insets would make this dominance statement falsifiable and strengthen the interpretation.","section":"Results and discussion, paragraph following Eq. (6)"}],"minor_comments":[{"comment":"Several concatenated words appear in the extracted text (e.g., “non-monotonictemperaturedependence,” “thephase,” “Fig.1.”). These should be corrected for readability.","section":"Introduction and Theory"},{"comment":"The distance dependence of τ is shown only for one temperature pair in the inset of Fig. 2; a brief remark on whether the far-field oscillations persist for the inverse and passive cases would improve completeness.","section":"Results, Fig. 2 inset"},{"comment":"The Fresnel coefficients for the thin-film passive geometry are written as “Airy-tipe”; the typographical error should be corrected to “Airy-type.”","section":"Results, Eq. (8)"},{"comment":"Reference [7] is listed as an arXiv preprint with a future date stamp; the citation format should be standardized once the final version is known.","section":"References"}],"recommendation":"minor_revision","confidential_remarks":"The manuscript is a solid Letter-length contribution that fits the scope of a high-quality condensed-matter or mesoscopic-physics journal. The only modeling choice that could invite referee push-back is the simplified T-FORC; once that is addressed (even by a short sensitivity paragraph), the paper is ready for publication. No citation or novelty concerns."},"author_rebuttal":null,"desk_editor":{"model":"grok-4.5","letter":"This is a solid, self-contained Letter that actually does something new: it takes the Mpemba idea into near-field radiative heat transfer and shows ordinary, inverse, and passive versions with a VO2 nanoparticle above SiC. The analytic onset condition (Eq. 6) is the cleanest part. It follows directly from a first-order expansion of the heat-balance equation once you allow a structural memory mismatch Δf or Δγ; you immediately see that both the power derivative and the latent-heat term in Cp can drive the crossing. The numerics then map the phase space (Figs. 2–3) and demonstrate that the caloric peak L ∂f/∂T is the dominant buffer, while near-field coupling mainly sets the absolute time scale τ. The passive case (SiC particle above a thin VO2 film) is especially neat: memory lives only in the substrate reflection, and the effect disappears once you leave the near field. That is a genuine conceptual addition.\n\nWhat the paper does well is keep the physics transparent. Standard fluctuational-electrodynamics tools (dipole LDOS, Mie polarizabilities, Bruggeman EMA) plus literature values for latent heat and hysteresis parameters are used without inventing new free knobs. Self-citations are limited and the literature on both Mpemba and VO2 thermotronics is cited fairly. The distance dependence and the far-field oscillations are consistent with earlier work on radiative cooling of nanoparticles.\n\nThe only real soft spot is the simplified analytic T-FORC model (Supp. Eq. S14) that generates the intermediate pathways. It is introduced to avoid full Preisach integrations and it deliberately flattens the early slopes after thermal reversal; those slopes set the boundaries of the Mpemba regions in Figs. 2–3. If real domain kinetics differ, the precise topology can shift. That is a modeling choice, not a hidden inconsistency, and the paper is explicit about it. No code is shipped and there is no experiment, but neither is required for a theory Letter of this scope.\n\nThis is for people working on near-field radiative heat transfer, phase-change thermotronics, or anomalous relaxation. It is short, readable, and the central claim holds up under the stated assumptions. I would send it to peer review; the T-FORC limitation is addressable and does not sink the result. Worth reading and, for anyone in the subfield, worth citing.","headline":"Clean first radiative Mpemba via VO2 hysteresis; latent-heat buffer and passive external-memory variant are the real additions, with only the simplified T-FORC as a soft spot.","tokens_in":12526,"tokens_out":620,"would_cite":true,"duration_ms":6147,"reading_group":"yes","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.5","headline":"Phase-change hysteresis and latent heat produce a radiative Mpemba effect: hotter VO2 nanoparticles cool faster than colder ones near a SiC substrate.","keywords":["radiative Mpemba effect","VO2 hysteresis","near-field heat transfer","latent heat buffer","phase-change materials","passive Mpemba effect","surface phonon polaritons"],"falsifier":"Prepare two identical VO2 nanoparticles at the same distance from a SiC substrate, one on the heating branch and one on the cooling branch of the hysteresis loop, then record their temperature histories with pump-probe microscopy; the curves either cross with the hotter particle cooling faster or they do not.","tokens_in":12620,"feed_emoji":"🔥","tokens_out":582,"duration_ms":6174,"temperature":0.7,"pith_summary":"The paper claims that the classic Mpemba anomaly—hotter systems relaxing faster than colder ones—appears in pure radiative heat transfer when a vanadium-dioxide nanoparticle sits near a silicon-carbide surface. Hysteresis in VO2’s metal–insulator transition stores a structural memory that is not erased when two particles reach the same temperature; latent heat then acts as a temporary thermal buffer that delays one trajectory while the other overtakes it. An analytic onset condition shows that a mismatch in metallic volume fraction or its temperature derivative is necessary, and numerical maps of initial temperatures delineate the ordinary, inverse, and “passive” versions of the effect. Near-field coupling sets the absolute relaxation times and, when the materials are swapped, allows the memory to reside entirely in the substrate’s reflection. The result supplies a concrete, experimentally accessible route to history-dependent radiative cooling and heating at the nanoscale.","feed_headline":"Hotter VO2 nanoparticles cool faster via radiative Mpemba effect","feed_subtitle":"Latent heat and near-field hysteresis let a hotter particle overtake a colder one; memory can even sit in the substrate.","key_machinery":"The onset inequality obtained by expanding the cooling rate around the colder trajectory: a nonzero mismatch in metallic volume fraction or its temperature derivative must overcome the latent-heat term so that the hotter particle’s temperature derivative becomes more negative at the crossing point.","core_discovery":"A radiative Mpemba effect—ordinary, inverse, and passive—emerges from the phase-change hysteresis of a VO2 nanoparticle coupled to a SiC substrate. Latent heat supplies a transient thermal buffer that lets an initially hotter trajectory overtake a colder one; near-field coupling both sets the intersection time and, in the passive case, stores the memory externally through the substrate’s reflection coefficients.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["Hotter VO2 nanoparticle overtakes cooler one via radiative Mpemba","Phase-change hysteresis drives radiative Mpemba in VO2 near SiC","Latent heat buffer enables ordinary and inverse radiative Mpemba","Near-field coupling stores memory for passive radiative Mpemba","VO2-SiC hysteresis yields radiative Mpemba effect with latent heat"],"cache_read_input_tokens":128,"weakest_assumption_plain":"The simplified analytic formula used for intermediate hysteresis paths after a temperature reversal must correctly capture the real kinetic delay of domain reorganization; if it does not, the predicted intersection times and the shape of the Mpemba phase space change.","fun_headline_variants_meta":{"raw":{"variants":["Hotter VO2 nanoparticle overtakes cooler one via radiative Mpemba","Phase-change hysteresis drives radiative Mpemba in VO2 near SiC","Latent heat buffer enables ordinary and inverse radiative Mpemba","Near-field coupling stores memory for passive radiative Mpemba","VO2-SiC hysteresis yields radiative Mpemba effect with latent heat"]},"model":"grok-4.5","effort":"low","cost_usd":0.006594,"raw_usage":{"total_tokens":1593,"prompt_tokens":645,"num_sources_used":0,"completion_tokens":91,"cost_in_usd_ticks":65940000,"prompt_tokens_details":{"text_tokens":645,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":857,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":645,"tokens_out":91,"duration_ms":7923,"temperature":1.0,"reasoning_tokens":857,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-12T12:54:02.975308+00:00","model_set":{"reader":"grok-4.5"},"falsifier":"Prepare two identical VO2 nanoparticles at the same distance from a SiC substrate, one on the heating branch and one on the cooling branch of the hysteresis loop, then record their temperature histories with pump-probe microscopy; the curves either cross with the hotter particle cooling faster or they do not.","supporting_citations":[],"review_version":2}