دورية أكاديمية
First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model.
| العنوان: | First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model. |
|---|---|
| المؤلفون: | Lima HS; Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil.; National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil., Tsallis C; Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil.; National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil.; Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA.; Complexity Science Hub Vienna, Josefstädter Strasse 39, 1080 Vienna, Austria., Nobre FD; Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil.; National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil. |
| المصدر: | Entropy (Basel, Switzerland) [Entropy (Basel)] 2023 Dec 25; Vol. 26 (1). Date of Electronic Publication: 2023 Dec 25. |
| نوع المنشور: | Journal Article |
| اللغة: | English |
| بيانات الدورية: | Publisher: MDPI Country of Publication: Switzerland NLM ID: 101243874 Publication Model: Electronic Cited Medium: Internet ISSN: 1099-4300 (Electronic) Linking ISSN: 10994300 NLM ISO Abbreviation: Entropy (Basel) Subsets: PubMed not MEDLINE |
| أسماء مطبوعة: | Original Publication: Basel, Switzerland : MDPI, 1999- |
| مستخلص: | The thermal conductance of a one-dimensional classical inertial Heisenberg model of linear size L is computed, considering the first and last particles in thermal contact with heat baths at higher and lower temperatures, Th and Tl (Th>Tl), respectively. These particles at the extremities of the chain are subjected to standard Langevin dynamics, whereas all remaining rotators (i=2,⋯,L-1) interact by means of nearest-neighbor ferromagnetic couplings and evolve in time following their own equations of motion, being investigated numerically through molecular-dynamics numerical simulations. Fourier's law for the heat flux is verified numerically, with the thermal conductivity becoming independent of the lattice size in the limit L→∞, scaling with the temperature, as κ(T)∼T-2.25, where T=(Th+Tl)/2. Moreover, the thermal conductance, σ(L,T)≡κ(T)/L, is well-fitted by a function, which is typical of nonextensive statistical mechanics, according to σ(L,T)=Aexpq(-Bxη), where A and B are constants, x=L0.475T, q=2.28±0.04, and η=2.88±0.04. |
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| معلومات مُعتمدة: | 465618/2014-6 National Council for Scientific and Technological Development; E-26/202.529/2019 Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro |
| فهرسة مساهمة: | Keywords: Fourier’s law; generalized entropies; non-equilibrium physics; stochastic processes |
| تواريخ الأحداث: | Date Created: 20240122 Latest Revision: 20240608 |
| رمز التحديث: | 20240608 |
| مُعرف محوري في PubMed: | PMC11154294 |
| DOI: | 10.3390/e26010025 |
| PMID: | 38248151 |
| قاعدة البيانات: | MEDLINE |
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