DI CAIRANO, Loris ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
The geometric theory of phase transitions
Date de publication/diffusion :
16 juin 2022
Titre du périodique :
Journal of Physics. A, Mathematical and Theoretical
Ehrenfest P 1933 Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach den entsprechenden Singularitaeten des thermodynamischen Potentiales vol 36 Amsterdam NV Noord-Hollandsche Uitgevers Maatschappij. Communications from the Physical Laboratory of the University of Leiden, Supplement No. 75b
Gross D H. 2001 Microcanonical thermodynamics: Phase Transitions in Small Systems Singapore World Scientific
Gross D H. E. Kenney J F. 2005 J. Chem. Phys. 122 224111 10.1063/1.1901658
Bachmann M 2014 Thermodynamics and Statistical Mechanics of Macromolecular Systems Cambridge Cambridge University Press
Bachmann M 2014 J. Phys.: Conf. Ser. 487 012013. (IOP Publishing) 10.1088/1742-6596/487/1/012013
Schnabel S Seaton D T. Landau D P. Bachmann M 2011 Phys. Rev. E 84 011127 10.1103/physreve.84.011127
Qi K Bachmann M 2018 Phys. Rev. Lett. 120 180601 10.1103/physrevlett.120.180601
Koci T Bachmann M 2017 Phys. Rev. E 95 032502 10.1103/physreve.95.032502
Sitarachu K Zia R K. P. Bachmann M 2020 J. Stat. Mech. 073204 10.1088/1742-5468/ab97bc
Sitarachu K Bachmann M 2020 J. Phys.: Conf. Ser. 1483 012009. (IOP Publishing) 10.1088/1742-6596/1483/1/012009
Gori M Franzosi R Pettini M 2018 J. Stat. Mech. 093204 10.1088/1742-5468/aad6b6
Franzosi R Pettini M 2004 Phys. Rev. Lett. 92 060601 10.1103/physrevlett.92.060601
Casetti L Pettini M Cohen E G. D. 2000 Phys. Rep. 337 237 10.1016/s0370-1573(00)00069-7
Pettini M 2007 Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics vol 33 Berlin Springer
Caiani L Casetti L Clementi C Pettini M 1997 Phys. Rev. Lett. 79 4361 10.1103/physrevlett.79.4361
Pettini G Gori M Franzosi R Clementi C Pettini M 2019 Physica A 516 376 10.1016/j.physa.2018.10.001
Di Cairano L Gori M Pettini M 2019 Chaos 29 123134 10.1063/1.5119797
Arnol'd V I. 2013 Mathematical Methods of Classical Mechanics vol 60 Berlin Springer
Casetti L Pettini M 1993 Phys. Rev. E 48 4320 10.1103/physreve.48.4320
Eisenhart L P. 1928 Ann. Math. 30 591 10.2307/1968307
Di Cairano L Gori M Pettini G Pettini M 2021 Physica D 422 132909 10.1016/j.physd.2021.132909
Pettini M 1993 Phys. Rev. E 47 828 10.1103/physreve.47.828
Casetti L Clementi C Pettini M 1996 Phys. Rev. E 54 5969 10.1103/physreve.54.5969
Franzosi R Casetti L Spinelli L Pettini M 1999 Phys. Rev. E 60 R5009 10.1103/physreve.60.r5009
Caiani L Casetti L Clementi C Pettini G Pettini M Gatto R 1998 Phys. Rev. E 57 3886 10.1103/physreve.57.3886
Caiani L Casetti L Pettini M 1998 J. Phys. A: Math. Gen. 31 3357 10.1088/0305-4470/31/15/004
Mehta D Hauenstein J D. Kastner M 2012 Phys. Rev. E 85 061103 10.1103/physreve.85.061103
Kastner M Mehta D 2011 Phys. Rev. Lett. 107 160602 10.1103/physrevlett.107.160602
Gori M 2016 Phase transitions theory and applications to Biophysics PhD Thesis
Gori M 2022 Configurational microcanonical statistical mechanics from Riemannian geometry of equipotenital level sets. (arXiv: 2205.14536 )
Bel-Hadj-Aissa G Gori M Penna V Pettini G Franzosi R 2020 Entropy 22 380 10.3390/e22040380
Di Cairano L Gori M Pettini M 2021 Entropy 23 1414 10.3390/e23111414
Franzosi R 2018 Physica A 494 302 10.1016/j.physa.2017.12.059
Franzosi R 2019 J. Stat. Mech. 083204 10.1088/1742-5468/ab3116
Rousset M Stoltz G Lelievre T 2010 Free Energy Computations: A Mathematical Perspective Singapore World Scientific
Zhou Y 2013. arXiv: 1301.2202
Matsumoto Y 2002 An Introduction to Morse Theory vol 208 Providence, RI American Mathematical Society
Stein E Milnor J W. Spivak M Wells R Wells R Mather J N. 1963 Morse Theory vol 51 Princeton, NJ Princeton University Press
Casetti L Kastner M Nerattini R 2009 J. Stat. Mech. P07036 10.1088/1742-5468/2009/07/p07036
Kastner M 2008 Rev. Mod. Phys. 80 167 10.1103/revmodphys.80.167
Nerattini R Kastner M Mehta D Casetti L 2013 Phys. Rev. E 87 032140 10.1103/physreve.87.032140
Rugh H H. 2001 Phys. Rev. E 64 055101 10.1103/physreve.64.055101
Rugh H H. 1997 Phys. Rev. Lett. 78 772 10.1103/physrevlett.78.772
Rugh H H. 1998 J. Phys. A: Math. Gen. 31 7761 10.1088/0305-4470/31/38/011
Gromov M 2019. arXiv: 1908.10612
Hirsch M W. 2012 Differential Topology vol 33 Berlin Springer
Chen B.-Y. 2014 Total Mean Curvature and Submanifolds of Finite Type vol 27 Singapore World Scientific
Bel-Hadj-Aissa G Gori M Franzosi R Pettini M 2021 J. Stat. Mech. 023206 10.1088/1742-5468/abda27
Hilbert S Dunkel J 2006 Phys. Rev. E 74 011120 10.1103/physreve.74.011120
Dunkel J Hilbert S 2006 Physica A 370 390 10.1016/j.physa.2006.05.018
Angelani L Casetti L Pettini M Ruocco G Zamponi F 2005 Phys. Rev. E 71 036152 10.1103/physreve.71.036152
Kastner M Schnetz O 2006 J. Stat. Phys. 122 1195 10.1007/s10955-005-8031-9
Casetti L Kastner M 2006 Phys. Rev. Lett. 97 100602 10.1103/physrevlett.97.100602
Kastner M Schnetz O Schreiber S 2008 J. Stat. Mech. P04025 10.1088/1742-5468/2008/04/p04025
Kastner M Schnetz O 2008 Phys. Rev. Lett. 100 160601 10.1103/physrevlett.100.160601
