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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1914 1
1920 1
1925 1
1928 1
1929 2
1930 2
1931 1
1932 1
1933 1
1934 2
1935 1
1937 1
1941 1
1942 1
1949 1
1951 4
1952 1
1953 1
1954 1
1955 3
1956 2
1962 1
1964 2
1966 3
1967 5
1968 1
1969 5
1970 4
1971 9
1972 15
1973 14
1974 18
1975 88
1976 90
1977 55
1978 63
1979 78
1980 85
1981 80
1982 106
1983 122
1984 170
1985 181
1986 228
1987 205
1988 270
1989 367
1990 379
1991 436
1992 476
1993 567
1994 664
1995 694
1996 765
1997 694
1998 793
1999 911
2000 1085
2001 1257
2002 1361
2003 1415
2004 1718
2005 2252
2006 2324
2007 2668
2008 3220
2009 3533
2010 3989
2011 4293
2012 4693
2013 5511
2014 5778
2015 5502
2016 3638
2017 2506
2018 2957
2019 3178
2020 3497
2021 3585
2022 3673
2023 3431
2024 1315

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76,758 results

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Page 1
Fourier's transformational thinking.
[No authors listed] [No authors listed] Nature. 2018 Mar 22;555(7697):413. doi: 10.1038/d41586-018-03389-w. Nature. 2018. PMID: 29565408 No abstract available.
Fourier's transformational thinking.
[No authors listed] [No authors listed] Nature. 2018 Mar;555(7697):413. doi: 10.1038/d41586-018-03389-w. Nature. 2018. PMID: 32034326 No abstract available.
Exceptions to Fourier's Law at the Macroscale.
Zheng K, Ghosh S, Granick S. Zheng K, et al. Proc Natl Acad Sci U S A. 2024 Mar 12;121(11):e2320337121. doi: 10.1073/pnas.2320337121. Epub 2024 Mar 5. Proc Natl Acad Sci U S A. 2024. PMID: 38442154
The usual basis to analyze heat transfer within materials is the equation formulated 200 years ago, Fourier's law, which is identical mathematically to the mass diffusion equation, Fick's law. ...At steady state, we find macroscale anomalous hot spots when th …
The usual basis to analyze heat transfer within materials is the equation formulated 200 years ago, Fourier's law, which is id …
Fourier's gangrene associated with a decubitus ulcer.
Yuan L, Xiong Q, Wang B. Yuan L, et al. IDCases. 2018 May 17;12:149-150. doi: 10.1016/j.idcr.2018.05.010. eCollection 2018. IDCases. 2018. PMID: 29942775 Free PMC article. No abstract available.
First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model.
Lima HS, Tsallis C, Nobre FD. Lima HS, et al. Entropy (Basel). 2023 Dec 25;26(1):25. doi: 10.3390/e26010025. Entropy (Basel). 2023. PMID: 38248151 Free article.
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 nume …
These particles at the extremities of the chain are subjected to standard Langevin dynamics, whereas all remaining rotators (i=2,,L-1) inter …
Emergence of Non-Fourier Hierarchies.
Fülöp T, Kovács R, Lovas Á, Rieth Á, Fodor T, Szücs M, Ván P, Gróf G. Fülöp T, et al. Entropy (Basel). 2018 Oct 30;20(11):832. doi: 10.3390/e20110832. Entropy (Basel). 2018. PMID: 33266556 Free PMC article.
It is demonstrated that the Guyer-Krumhansl equation can be the next appropriate extension of Fourier's law for room-temperature phenomena in modeling of heterogeneous materials. ...It is shown that non-Fourier temperature history can be produced by mixing di …
It is demonstrated that the Guyer-Krumhansl equation can be the next appropriate extension of Fourier's law for room-temperatu …
Fourier's law: insight from a simple derivation.
Dubi Y, Di Ventra M. Dubi Y, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Apr;79(4 Pt 1):042101. doi: 10.1103/PhysRevE.79.042101. Epub 2009 Apr 9. Phys Rev E Stat Nonlin Soft Matter Phys. 2009. PMID: 19518279
Using analytical arguments we show that the crossover from the ballistic (invalid Fourier's law) to diffusive (valid Fourier's law) regimes is characterized by a thermal length scale, which is directly related to the profile of the local temperature. I …
Using analytical arguments we show that the crossover from the ballistic (invalid Fourier's law) to diffusive (valid Fourie
Measuring heat flux beyond Fourier's law.
Smith ER, Daivis PJ, Todd BD. Smith ER, et al. J Chem Phys. 2019 Feb 14;150(6):064103. doi: 10.1063/1.5079993. J Chem Phys. 2019. PMID: 30770018
By simulating a simple fluid in a channel bounded by tethered atoms, the heat flux is computed for two systems: a temperature driven one with no flow and a wall driven, Couette flow system. The results for the temperature driven system give Fourier's law thermal con …
By simulating a simple fluid in a channel bounded by tethered atoms, the heat flux is computed for two systems: a temperature driven one wit …
Revised Formulation of Fick's, Fourier's, and Newton's Laws for Spatially Varying Linear Transport Coefficients.
Won YY, Ramkrishna D. Won YY, et al. ACS Omega. 2019 Jun 27;4(6):11215-11222. doi: 10.1021/acsomega.9b00736. eCollection 2019 Jun 30. ACS Omega. 2019. PMID: 31460222 Free PMC article.
We argue that for situations involving spatially varying linear transport coefficients (diffusivities, thermal conductivities, and viscosities), the original Fick's, Fourier's, and Newton's law equations should be modified to place the diffusivity, the …
We argue that for situations involving spatially varying linear transport coefficients (diffusivities, thermal conductivities, and viscositi …
Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures.
Srivastava HM, Lone WZ, Shah FA, Zayed AI. Srivastava HM, et al. Entropy (Basel). 2022 Sep 23;24(10):1340. doi: 10.3390/e24101340. Entropy (Basel). 2022. PMID: 37420360 Free PMC article.
In this article, we introduce the notion of discrete quadratic-phase Fourier transform, which encompasses a wider class of discrete Fourier transforms, including classical discrete Fourier transform, discrete fractional Fourier transform, discrete line …
In this article, we introduce the notion of discrete quadratic-phase Fourier transform, which encompasses a wider class of discrete …
76,758 results
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