Barra, Adriano; Di Lorenzo, Andrea; Guerra, Francesco; Moro, Antonio On quantum and relativistic mechanical analogues in mean-field spin models. (English) Zbl 1371.82139 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2172, Article ID 20140589, 13 p. (2014). MSC: 82D30 PDFBibTeX XMLCite \textit{A. Barra} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2172, Article ID 20140589, 13 p. (2014; Zbl 1371.82139) Full Text: DOI arXiv
Bandyopadhyay, Pratul; Basu, Banasri; Chowdhury, Debashree The geometric phase and the geometrodynamics of relativistic electron vortex beams. (English) Zbl 1348.81477 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130525, 14 p. (2014). MSC: 81V35 PDFBibTeX XMLCite \textit{P. Bandyopadhyay} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130525, 14 p. (2014; Zbl 1348.81477) Full Text: DOI arXiv
Kralj, Samo; Majumdar, Apala Order reconstruction patterns in nematic liquid crystal wells. (English) Zbl 1320.82067 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140276, 18 p. (2014). MSC: 82D30 PDFBibTeX XMLCite \textit{S. Kralj} and \textit{A. Majumdar}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140276, 18 p. (2014; Zbl 1320.82067) Full Text: DOI
Akylas, T. R.; Hwang, Guenbo; Yang, Jianke From non-local gap solitary waves to bound states in periodic media. (English) Zbl 1243.82057 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116-135 (2012). MSC: 82D30 35C08 35Q55 74J35 PDFBibTeX XMLCite \textit{T. R. Akylas} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116--135 (2012; Zbl 1243.82057) Full Text: DOI arXiv Link
Vaccaro, Joan A.; Barnett, Stephen M. Information erasure without an energy cost. (English) Zbl 1228.81111 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2130, 1770-1778 (2011). MSC: 81P45 94A15 94A17 PDFBibTeX XMLCite \textit{J. A. Vaccaro} and \textit{S. M. Barnett}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2130, 1770--1778 (2011; Zbl 1228.81111) Full Text: DOI arXiv
Bandyopadhyay, P. Anisotropic spin system, quantized Dirac monopole and the Berry phase. (English) Zbl 1219.81140 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2126, 427-438 (2011). MSC: 81Q70 PDFBibTeX XMLCite \textit{P. Bandyopadhyay}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2126, 427--438 (2011; Zbl 1219.81140) Full Text: DOI Link
Gay-Balmaz, François; Tronci, Cesare The helicity and vorticity of liquid-crystal flows. (English) Zbl 1219.76005 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2128, 1197-1213 (2011). MSC: 76A15 37K05 37N20 82D30 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{C. Tronci}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2128, 1197--1213 (2011; Zbl 1219.76005) Full Text: DOI arXiv
Warner, M.; Modes, C. D.; Corbett, D. Suppression of curvature in nematic elastica. (English) Zbl 1211.74008 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2124, 3561-3578 (2010). MSC: 74A10 74A40 74K10 82D30 PDFBibTeX XMLCite \textit{M. Warner} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2124, 3561--3578 (2010; Zbl 1211.74008) Full Text: DOI Link
Bandyopadhyay, P. The geometric phase and the spin-statistics relation. (English) Zbl 1211.81065 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2122, 2917-2932 (2010). MSC: 81Q70 81P20 PDFBibTeX XMLCite \textit{P. Bandyopadhyay}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2122, 2917--2932 (2010; Zbl 1211.81065) Full Text: DOI
Biggins, J. S. Strain-induced polarization in non-ideal chiral nematic elastomers. (English) Zbl 1186.82089 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2105, 1361-1376 (2009). MSC: 82D30 PDFBibTeX XMLCite \textit{J. S. Biggins}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2105, 1361--1376 (2009; Zbl 1186.82089) Full Text: DOI Link
Tilocca, Antonio Structural models of bioactive glasses from molecular dynamics simulations. (English) Zbl 1186.82092 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2104, 1003-1027 (2009). MSC: 82D30 37N15 37N25 PDFBibTeX XMLCite \textit{A. Tilocca}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2104, 1003--1027 (2009; Zbl 1186.82092) Full Text: DOI Link
Brody, Dorje C. Dequantization of the Dirac monopole. (English) Zbl 1203.81111 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3047-3068 (2009). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81T13 18F20 55M30 55R10 PDFBibTeX XMLCite \textit{D. C. Brody}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3047--3068 (2009; Zbl 1203.81111) Full Text: DOI arXiv
Reuter, Moritz E.; Hartmann, Michael J.; Plenio, Martin B. Geometric phases and critical phenomena in a chain of interacting spins. (English) Zbl 1141.82004 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2081, 1271-1285 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82B27 82B20 PDFBibTeX XMLCite \textit{M. E. Reuter} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2081, 1271--1285 (2007; Zbl 1141.82004) Full Text: DOI arXiv
Delaney, P.; Greer, J. C. Classical computation with quantum systems. (English) Zbl 1149.82350 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2065, 117-135 (2006). MSC: 82D37 81P68 PDFBibTeX XMLCite \textit{P. Delaney} and \textit{J. C. Greer}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2065, 117--135 (2006; Zbl 1149.82350) Full Text: DOI Link
Gibbon, J. D.; Titi, E. S. Cluster formation in complex multi-scale systems. (English) Zbl 1206.82123 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2062, 3089-3097 (2005). MSC: 82D30 28A80 76F99 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{E. S. Titi}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2062, 3089--3097 (2005; Zbl 1206.82123) Full Text: DOI arXiv
Wang, Fei; Lakhtakia, Akhlesh Optical crossover phenomenon due to a central \(90^{\circ}\)-twist defect in a chiral sculptured thin film or chiral liquid crystal. (English) Zbl 1186.78040 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2985-3004 (2005). MSC: 78A60 82D30 PDFBibTeX XMLCite \textit{F. Wang} and \textit{A. Lakhtakia}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2985--3004 (2005; Zbl 1186.78040) Full Text: DOI
Santangelo, Christian D.; Kamien, Randall D. Curvature and topology in smectic-A liquid crystals. (English) Zbl 1186.82091 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2911-2921 (2005). MSC: 82D30 53A10 74G65 76A15 PDFBibTeX XMLCite \textit{C. D. Santangelo} and \textit{R. D. Kamien}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2911--2921 (2005; Zbl 1186.82091) Full Text: DOI
Schief, W. K.; Kléman, M.; Rogers, C. On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides. (English) Zbl 1186.74079 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2817-2837 (2005). MSC: 74K25 53A05 76A15 82D30 PDFBibTeX XMLCite \textit{W. K. Schief} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2817--2837 (2005; Zbl 1186.74079) Full Text: DOI
Tong, Wei A planar plastic flow theory of orthotropic sheet metals and the experimental procedure for its evaluations. (English) Zbl 1139.74403 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2058, 1775-1809 (2005). MSC: 74C05 74E10 74E15 PDFBibTeX XMLCite \textit{W. Tong}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2058, 1775--1809 (2005; Zbl 1139.74403) Full Text: DOI
Temme, F. P. Geodesic and re-coupling-induced limits to \(S_{2n}\) group invariants of uniform \((k_1\dots k_{2n})\) dual tensorial sets in spin physics, or NMR: SR dynamical structure on \(\{Hv\}\) via polyhedral re-coupling and time-reversal invariance. (English) Zbl 1145.81374 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2054, 321-346 (2005). MSC: 81R05 81V55 PDFBibTeX XMLCite \textit{F. P. Temme}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2054, 321--346 (2005; Zbl 1145.81374) Full Text: DOI
Tucker, Robin W. Classical field-particle dynamics in space-time geometries. (English) Zbl 1173.83304 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2050, 2819-2844 (2004). MSC: 83C10 83C50 PDFBibTeX XMLCite \textit{R. W. Tucker}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2050, 2819--2844 (2004; Zbl 1173.83304) Full Text: DOI arXiv
Vicente Alonso, E.; Wheeler, A. A.; Sluckin, T. J. Nonlinear dynamics of a nematic liquid crystal in the presence of a shear flow. (English) Zbl 1116.76318 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 195-220 (2003). MSC: 76A15 37N10 76E30 82D30 PDFBibTeX XMLCite \textit{E. Vicente Alonso} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 195--220 (2003; Zbl 1116.76318) Full Text: DOI
Cermelli, Paolo; Fried, Eliot The evolution equation for a disclination in a nematic liquid crystal. (English) Zbl 1001.76005 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2017, 1-20 (2002). MSC: 76A15 82D30 PDFBibTeX XMLCite \textit{P. Cermelli} and \textit{E. Fried}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2017, 1--20 (2002; Zbl 1001.76005) Full Text: DOI
Epstein, Marcelo; de León, Manuel Continuous distributions of inhomogeneities in liquid-crystal-like bodies. (English) Zbl 1002.74006 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2014, 2507-2520 (2001). MSC: 74A60 74E05 76A15 82D30 PDFBibTeX XMLCite \textit{M. Epstein} and \textit{M. de León}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2014, 2507--2520 (2001; Zbl 1002.74006) Full Text: DOI
Warner, M.; Terentjev, E. M. The coupling of chiral chains to mechanical distortions in elastomers. (English) Zbl 0942.74004 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3629-3644 (1999). MSC: 74A25 82B20 82D30 74B20 74F15 PDFBibTeX XMLCite \textit{M. Warner} and \textit{E. M. Terentjev}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3629--3644 (1999; Zbl 0942.74004) Full Text: DOI
Nordmark, A.; Essén, Hanno Systems with a preferred spin direction. (English) Zbl 0930.70014 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 933-941 (1999). MSC: 70F25 PDFBibTeX XMLCite \textit{A. Nordmark} and \textit{H. Essén}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 933--941 (1999; Zbl 0930.70014) Full Text: DOI
Lusk, Mark T. A phase-field paradigm for grain growth and recrystallization. (English) Zbl 0933.74016 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 677-700 (1999). MSC: 74E20 82D30 PDFBibTeX XMLCite \textit{M. T. Lusk}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 677--700 (1999; Zbl 0933.74016) Full Text: DOI