Get Axiomatic, Enriched and Motivic Homolopy Theory PDF

By John Greenlees

ISBN-10: 1402018339

ISBN-13: 9781402018336

This e-book comprises a chain of expository articles on axiomatic, enriched and motivic homotopy idea bobbing up out of a NATO complicated learn Institute of an identical identify on the Isaac Newton Institute for the Mathematical Sciences in Cambridge, united kingdom in September 2002.

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T. Boublik, Mol. Phys. 27, 1415 (1974) 28. A. E. Martire, J. Chem. Phys. 52, 1970 (1909) 29. A. Cotter, Phys. Rev. A 10, 625 (1974) 30. G. Lasher, J. Chem. Phys. 53, 4141 (1970) 31. M. Holovko, V. Shmotolokha, T. Patsahan, J. Mol. Liq. 189, 30 (2014) 32. M. Holovko, V. Shmotolokha, T. Patsahan, (in preparation) 33. R. F. Holovko, Statistical theory of Classical Equilibrium Systems (Naukova Dumka, Kyiv, 1980) 34. P. R. McDonald, Theory of Simple Liquids (Academic Press, London, 2006) 35. G. E. Gubbins, Theory of Molecular Fluids (Clarendon Press, Oxford, 1984) 36.

The probability to find scaled spherocylinder in an empty HS matrix is equal to p0 ðas ; ks Þ ¼ 1 À g0 ! 63) one can find the derivatives needed for the description of thermodynamic properties of a confined fluid: p00a ¼ À3 D1 3 L1 g0 ; p00a ¼ À g0 ; D0 2 D0 D2 p000kk ¼ À6g0 12 ; D0 p000ak ¼ À3g0 L1 D1 ; D0 D0 ð1:64Þ where g0 is the packing fraction of HS matrix particles. The probe particle porosity in this case is equal to [32] Fig. 2 Coexistence lines of isotropic-nematic phases of a hard spherocylinder fluid in a hard sphere matrix for L1 =D1 ¼ 20 and D0 ¼ L1 presented as a dependence of the spherocylinder fluid density c ¼ 14 pq1 L21 D1 on the matrix packing fraction g0 .

P. R. McDonald, Theory of Simple Liquids (Academic Press, London, 2006) 35. G. E. Gubbins, Theory of Molecular Fluids (Clarendon Press, Oxford, 1984) 36. D. Frenkel, B. Smith, Understanding Molecular Simulations (Academic, San Diego, 1995) 37. J. E. W. Wingate, Macromolecules 17, 1718 (1984) 38. L. Onsager, Ann. N. Y. Acad. Sci. 51, 627 (1949) 39. M. C. Wacker, Phys. Rev. A 18, 2669 (1978) 40. R. Tuinier, T. H. Wensink, Eur. Phys. J. E 23, 355 (2007) 41. F. J. Raveche, Phys. Rev. A 17, 2067 (1978) 42.

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Axiomatic, Enriched and Motivic Homolopy Theory by John Greenlees


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