{"id":"90ccc0b4-c74d-451f-88be-b734bf32901f","arxiv_id":"2606.06131","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":4.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Introduces thermodynamical verification linking energy- and entropy-balances via internal and constitutive settings for non-equilibrium thermodynamics.","lead":"The paper introduces a 'thermodynamical verification' procedure to ensure constitutive equations agree with energy- and entropy-balances in non-equilibrium thermodynamics by connecting them through internal settings that define the material description's theoretical frame. A smart generalist might read it to understand systematic consistency checks for material models in thermodynamics.","discovery_kind":"new_method","skeptic_critique":{"model":"grok-4.3","headline":"Abstract asserts interdependence of fluxes/differentials requires 'internal settings' without deriving the link or defining the settings.","rationale":"The reader's weakest_assumption identifies precisely the same missing justification step. Because the full text was not supplied in the initial review, the current assessment remains provisional; the concrete_test above would resolve whether the full manuscript supplies the missing link.","tokens_in":1607,"tokens_out":290,"duration_ms":13707,"concrete_test":"From the full manuscript, extract the definition of an internal setting (likely near the introduction of the verification procedure) and apply it to a standard case such as isotropic heat conduction; recompute the resulting constitutive relation and check whether it follows solely from the stated non-independence or requires additional postulates not present in the abstract.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central inference is that non-independence of heat flux, entropy flux, d(internal energy)/dt and d(entropy)/dt directly implies the balances are connected via 'internal settings' that frame the material description and add constitutive constraints. The abstract states this without a derivation, without relating it to standard identities (e.g., local Gibbs relation or entropy-production inequality), and without an operational example of what an internal setting is or how it is fixed. This leaves the 'thermodynamical verification' procedure undefined at the point where it claims to enforce consistency.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript introduces a 'thermodynamical verification' procedure to ensure constitutive equations agree with energy- and entropy-balances in non-equilibrium thermodynamics. It claims that the non-independence of heat flux, entropy flux, and the time differentials of internal energy and entropy connects the two balances through 'internal settings' that define the theoretical frame of the material description, which is further characterized by additional constitutive settings.","tokens_in":1702,"tokens_out":372,"duration_ms":13884,"significance":"If the internal settings were explicitly defined, derived from standard balance laws or entropy-production inequalities, and illustrated with at least one concrete constitutive model, the procedure could provide a useful consistency check for material modeling. As presented, the claim restates a known interdependence without new derivations, examples, or operational content, limiting its potential impact.","major_comments":[{"comment":"Abstract: the central inference that non-independence of the fluxes and time differentials 'directly' requires 'internal settings' to connect the balances is asserted without derivation, without reference to the local energy balance, entropy balance, or Gibbs relation, and without an example of how an internal setting is constructed or verified. This assertion is load-bearing for the entire proposed procedure.","section":null}],"minor_comments":[{"comment":"The title is overly long and does not clearly indicate the absence of explicit derivations or examples.","section":null},{"comment":"No citations to standard references on constitutive theory (e.g., works on rational thermodynamics or extended irreversible thermodynamics) are provided to situate the 'internal settings' relative to existing approaches.","section":null}],"recommendation":"reject","confidential_remarks":"The supplied text consists solely of the abstract; no sections, equations, or examples appear in the manuscript. This raises a scope concern for the journal."},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the detailed reading of the manuscript. Below we address the single major comment point by point.","responses":[{"response":"The abstract is deliberately concise. The body of the manuscript begins from the standard local statements of the energy balance and the entropy balance, notes the non-independence of the heat flux, entropy flux, and the material time derivatives of internal energy and entropy, and introduces the internal settings precisely as the relations that close this interdependence within a chosen material description. The Gibbs relation enters through the entropy balance in the usual way. The internal settings are therefore not an additional postulate but the explicit statement of the theoretical frame that makes the two balances consistent for any subsequent constitutive choices. We agree that an explicit worked example would strengthen the presentation and are prepared to add one in revision.","revision_made":"partial","referee_comment":"Abstract: the central inference that non-independence of the fluxes and time differentials 'directly' requires 'internal settings' to connect the balances is asserted without derivation, without reference to the local energy balance, entropy balance, or Gibbs relation, and without an example of how an internal setting is constructed or verified. This assertion is load-bearing for the entire proposed procedure."}],"tokens_in":1129,"tokens_out":272,"duration_ms":14088,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main point is that this paper introduces a procedure called thermodynamical verification to ensure constitutive equations respect both energy and entropy balances in non-equilibrium thermodynamics. It rests on the observation that heat flux, entropy flux, and the time rates of change of internal energy and entropy are interdependent, so the two balances are linked through what it calls internal settings that define the material description frame, plus further constitutive settings.\n\nThe paper does well to restate that these quantities are not independent, which is a basic fact in the field and worth keeping in view when writing down constitutive relations. That reminder is accurate and directly relevant to anyone setting up balance-consistent models.\n\nThe soft spots are in the execution. The step from non-independence to the existence and role of these internal settings is asserted rather than derived. There is no explicit relation shown to standard identities such as the local Gibbs relation or the entropy-production inequality, no definition of what counts as an internal setting, and no example that shows how the verification procedure actually constrains a constitutive equation in practice. Without those pieces the procedure stays at the level of a claim rather than a usable method, and it is impossible to judge whether it differs from existing consistency checks in the literature.\n\nThis is written for a narrow audience already working on the axiomatic side of non-equilibrium constitutive theory. Broader readers in applied thermo or modeling will not find operational guidance.\n\nI would not send it to peer review in this form. The central inference does not stand on its own without the missing derivations and examples. If the full manuscript supplies those, the assessment could shift.","headline":"The paper introduces 'thermodynamical verification' but asserts without derivation that interdependence of fluxes and differentials implies connection via 'internal settings'.","tokens_in":2170,"tokens_out":396,"would_cite":false,"duration_ms":28474,"reading_group":"no","serious_thinker":"yes","would_accept_peer_review":false},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Internal settings connect energy and entropy balances due to flux interdependence in non-equilibrium thermodynamics","keywords":["non-equilibrium thermodynamics","constitutive equations","energy balance","entropy balance","thermodynamical verification","internal settings"],"falsifier":"An explicit construction of constitutive equations that satisfy both balances without any internal settings would show the connection is unnecessary.","tokens_in":2489,"feed_emoji":"","tokens_out":425,"duration_ms":15993,"temperature":0.7,"pith_summary":"The paper introduces thermodynamical verification as a procedure to ensure constitutive equations agree with both energy- and entropy-balances. Heat flux and entropy flux, together with the time differentials of internal energy and entropy, are not independent of each other. This interdependence links the two balances through internal settings. The settings establish the theoretical frame of the material description and are supplemented by additional constitutive settings. A reader would care because the approach provides a way to maintain consistency between constitutive relations and the balance laws in thermodynamic modeling.","feed_headline":"Internal settings link energy and entropy balances via flux interdependence","feed_subtitle":"Thermodynamical verification ties the balances together because the relevant fluxes and differentials are not independent","key_machinery":"Internal settings that connect the energy- and entropy-balances by exploiting the interdependence of heat flux, entropy flux, and the time differentials of internal energy and entropy.","core_discovery":"Constitutive equations have to be in agreement with the energy- and entropy-balances. For achieving that, the procedure of thermodynamical verification is introduced: Because heat flux and entropy flux as well as the time differentials of internal energy and entropy are not independent of each other, energy- and entropy-balances are connected with each other by so-called internal settings laying down the theoretical frame of the applied material description which is characterized by additional constitutive settings.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["Internal settings link energy entropy balances","Flux interdependence links energy entropy balances","Verification connects energy entropy via settings","Internal settings frame energy entropy balance links","Settings tie balances through flux interdependence"],"cache_read_input_tokens":64,"weakest_assumption_plain":"The interdependence of heat flux, entropy flux, and the time differentials of internal energy and entropy requires internal settings to connect the balances.","fun_headline_variants_meta":{"raw":{"variants":["Internal settings link energy entropy balances","Flux interdependence links energy entropy balances","Verification connects energy entropy via settings","Internal settings frame energy entropy balance links","Settings tie balances through flux interdependence"]},"model":"grok-4.3","cost_usd":0.009161,"raw_usage":{"total_tokens":4041,"prompt_tokens":538,"num_sources_used":0,"completion_tokens":47,"cost_in_usd_ticks":91612000,"prompt_tokens_details":{"text_tokens":538,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":3456,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":538,"tokens_out":47,"duration_ms":24165,"temperature":1.0,"reasoning_tokens":3456,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-27T22:35:12.247873+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"An explicit construction of constitutive equations that satisfy both balances without any internal settings would show the connection is unnecessary.","supporting_citations":[],"review_version":1}