Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior

Part I. Near-Equilibrium Critical Dynamics: 1. Equilibrium critical phenomena 2. Stochastic dynamics 3. Dynamic scaling 4. Dynamic perturbation theory 5. Dynamic renormalization group 6. Hydrodynamic modes and reversible mode couplings 7. Phase transitions in quantum systems Part II. Scale Invariance in Non-Equilibrium Systems 8. Non-equilibrium critical dynamics 9. Reaction-diffusion systems 10. Active to absorbing state transitions 11. Driven diffusive systems and growing interfaces Index.

[1]  D. Nelson,et al.  Superfluid bosons and flux liquids: disorder, thermal fluctuations, and finite-size effects (Physics reports 289 (1997) 157-233) , 1996, cond-mat/9608057.

[2]  F. Schwabl,et al.  Hydrodynamics of Heisenberg Ferromagnets , 1970 .

[3]  W. Brenig.  Scaling Laws for Dynamic Critical Phenomena , 1989 .

[4]  F. Schwabl,et al.  DISPERSION IN SECOND SOUND AND ANOMALOUS HEAT CONDUCTION AT THE LAMBDA POINT OF LIQUID HELIUM. , 1967 .

[5]  Shang‐keng Ma,et al.  Critical dynamics of ferromagnets in 6 − ε dimensions: General discussion and detailed calculation , 1975 .

[6]  S. Lovesey.  Condensed matter physics: Dynamic correlations , 1980 .

[7]  W. Ebeling.  Stochastic Processes in Physics and Chemistry , 1995 .

[8]  K. Kiefer,et al.  Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry , 2010, Science.

[9]  Fisher,et al.  Universality, low-temperature properties, and finite-size scaling in quantum antiferromagnets. , 1989, Physical review. B, Condensed matter.

[10]  P. Hohenberg,et al.  Theory of Dynamic Critical Phenomena , 1977 .

[11]  R. Zwanzig.  Nonequilibrium statistical mechanics , 2001, Physics Subject Headings (PhySH).

[12]  J. Cardy.  Scaling and Renormalization in Statistical Physics , 1996 .

[13]  Van Vliet,et al.  Equilibrium and non-equilibrium statistical mechanics , 2010 .

[14]  L. Lévy.  The XY Model , 2000 .

[15]  S. Sharma,et al.  The Fokker-Planck Equation , 2010 .

[16]  Shang‐keng Ma,et al.  Critical Dynamics of Ferromagnets in6−εDimensions , 1974 .

[17]  Michael Brereton,et al.  A Modern Course in Statistical Physics , 1981 .

[18]  Erwin Frey,et al.  Critical dynamics of magnets , 1994 .

[19]  M. Continentino.  Quantum scaling in many-body systems , 2017 .

[20]  C. Vafa,et al.  Advanced Quantum Mechanics , 2012 .

[21]  D. Venus,et al.  Critical slowing down in the two-dimensional Ising model measured using ferromagnetic ultrathin films , 2005 .

[22]  Fisher,et al.  Boson localization and the superfluid-insulator transition. , 1989, Physical review. B, Condensed matter.

[23]  M. Lavagna.  Quantum Phase Transitions , 2001, cond-mat/0102119.

[24]  Shang‐keng Ma,et al.  Renormalization-group methods for critical dynamics: II. Detailed analysis of the relaxational models , 1976 .

[25]  Shang‐keng Ma,et al.  Calculation of Dynamic Critical Properties Using Wilson's Expansion Methods , 1972 .

[26]  T. Vojta.  Quantum phase transitions in electronic systems , 1999, Annalen der Physik.

[27]  Dieter Forster,et al.  Hydrodynamic fluctuations, broken symmetry, and correlation functions , 1975 .

[28]  F. Reif,et al.  Fundamentals of Statistical and Thermal Physics , 1965 .

[29]  D. Thouless,et al.  Defects and Geometry in Condensed Matter Physics , 2003 .

[30]  永長 直人.  Quantum field theory in condensed matter physics , 1999 .

[31]  Critical Scattering and Dynamical Scaling in an Heisenberg Ferromagnet Neutron Spin Echo versus Renormalization Group Theory , 2007, cond-mat/0703702.

[32]  R. Kubo.  Statistical Physics II: Nonequilibrium Statistical Mechanics , 2003 .

[33]  John A. Hertz,et al.  Quantum critical phenomena , 1976 .

[34]  R. Folk,et al.  Critical dynamics: a field-theoretical approach , 2006 .

[35]  M. Polettini.  Nonequilibrium thermodynamics as a gauge theory , 2011, 1110.0608.

[36]  M. Grunwald.  Principles Of Condensed Matter Physics , 2016 .

[37]  Brian Cowan,et al.  Topics in Statistical Mechanics , 2005, Advanced Textbooks in Physics.

[38]  Statistical Mechanics of Vortices in Type-II Superconductors , 1993, cond-mat/9310047.

[39]  A. Fetter,et al.  Quantum Theory of Many-Particle Systems , 1971 .

[40]  P. Hohenberg,et al.  Renormalization-Group Calculations of Divergent Transport Coefficients at Critical Points , 1974 .

[41]  Jan Palczewski,et al.  Monte Carlo Simulation , 2008, Encyclopedia of GIS.

[42]  Nelson,et al.  Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. , 1989, Physical review. B, Condensed matter.

[43]  L. Reichl.  A modern course in statistical physics , 1980 .

[44]  V. Popov.  Functional integrals and collective excitations , 1987 .

[45]  R. Dickman,et al.  Nonequilibrium Phase Transitions in Lattice Models , 1999 .

[46]  Spin Dynamics Simulations : A Powerful Method for the Study of Critical Dynamics , 1999, cond-mat/9912375.

[47]  L. Onsager.  Crystal statistics. I. A two-dimensional model with an order-disorder transition , 1944 .

[48]  Fisher.  Onset of superfluidity in random media. , 1988, Physical review letters.

[49]  P. Hohenberg,et al.  Renormalization-group treatment of the critical dynamics of superfluid helium, the isotropic antiferromagnet, and the easy-plane ferromagnet , 1976 .

[50]  Victor Martin-Mayor,et al.  Field Theory, the Renormalization Group and Critical Phenomena , 1984 .

[51]  S. M. Girvin,et al.  Continuous quantum phase transitions , 1997 .

[52]  F. Schwabl,et al.  On the hydrodynamics of antiferromagnets , 1970 .

[53]  A. Kamenev.  Field Theory of Non-Equilibrium Systems , 2011 .

[54]  J. Linnett,et al.  Quantum mechanics , 1975, Nature.

[55]  Assmus,et al.  Anisotropic dynamical scaling near the vortex-glass transition of twinned YBa2Cu3O7- delta. , 1994, Physical Review Letters.

[56]  L. Cesare,et al.  Unified static renormalization-group treatment of finite-temperature crossovers close to a quantum critical point , 2007 .

[57]  M. Kardar.  Statistical physics of fields , 2007 .

[58]  E. Fradkin,et al.  Field Theories of Condensed Matter Physics , 2013 .

[59]  D. Ceperley.  Path integrals in the theory of condensed helium , 1995 .

[60]  P. C. Hohenberg,et al.  Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation , 1974 .

[61]  Daniel D. Stancil,et al.  Spin Waves: Theory and Applications , 2009 .

[62]  S. Redner,et al.  A Kinetic View of Statistical Physics , 2010 .

[63]  Quantum critical dynamics simulation of dirty boson systems. , 2011, Physical review letters.

[64]  Shang‐keng Ma.  Modern Theory of Critical Phenomena , 1976 .

[65]  F. Schwabl,et al.  Fluctuations and lambda phase transition in liquid helium , 1968 .

[66]  I. Lawrie.  Critical phenomena in field theories at finite temperature , 1993 .

[67]  E. M.,et al.  Statistical Mechanics , 2021, Manual for Theoretical Chemistry.

[68]  Investigation on the critical dynamics of real magnetics models by computational physics methods , 2003, 1302.1964.

[69]  R. Bishop,et al.  Quantum many-particle systems , 1990 .

[70]  Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior , 2001, cond-mat/0110603.

[71]  Chakravarty,et al.  Dynamic properties of a two-dimensional Heisenberg antiferromagnet at low temperatures. , 1989, Physical review letters.