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Statistical physics in deformed spaces with minimal length

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Taras Fityo

Quantum Physics · Submitted 6 Dec 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We also showed that the minimal length introduction reduces degrees of freedom of an arbitrary system in the high temperature limit significantly.

how it is stated · asserted 1.00 read the record →

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arXiv ID0712.0891 (version 2)
Pith IDAOUEIJ3M, Pith's permanent record of this paper and its review
CitationTaras Fityo. "Statistical physics in deformed spaces with minimal length." arXiv:0712.0891 (2007). https://pith.science/paper/AOUEIJ3M
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,077 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.90 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. We developed a classical method of the partition function evaluation. We calculated the partition function and heat capacity for ideal gas and harmonic oscillators using this method. The obtained results are in good agreement with the exact quantum ones. We also showed that the minimal length introduction reduces degrees of freedom of an arbitrary system in the high temperature limit significantly.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. background 0.58 0.83 0.07 asserted 0.96
s1 We developed a classical method of the partition function evaluation. method 0.82 0.96 0.05 asserted 1.00
s2 We calculated the partition function and heat capacity for ideal gas and harmonic oscillators using this method. contribution 0.66 0.97 0.11 asserted 1.00
s3 The obtained results are in good agreement with the exact quantum ones. result 0.83 0.85 0.15 asserted 0.97
s4 We also showed that the minimal length introduction reduces degrees of freedom of an arbitrary system in the high temperature limit significantly. result 0.97 0.95 0.55 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.63 · evidence from proof or derivation 0.98.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. We developed a classical method of the partition function evaluation. We calculated the partition function and heat capacity for ideal gas and harmonic oscillators using this method. The obtained results are in good agreement with the exact quantum ones. We also showed that the minimal length introduction reduces degrees of freedom of an arbitrary system in the high temperature limit significantly.

Human review

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References
How the literature uses it

3 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Cites it as background 2 papers

What it cites

Cites as background 1 paper

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