Perspectives and challenges in statistical physics and complex systems for the next decade / editors, Gandhimohan M. Viswanathan, Ernesto P. Raposo, Marcos Gomes Eleutério da Luz.

Format:

Book

Contributor:

Viswanathan, Gandhimohan M., editor.

Raposo, Ernesto P., editor.

Eleutério da Luz, Marcos Gomes, editor.

Language:

English

Subjects (All):

Statistical physics.

Physical Description:

1 online resource (346 p.)

Place of Publication:

Singapore : World Scientific, 2014.

Language Note:

English

Summary:

Statistical Physics (SP) has followed an unusual evolutionary path in science. Originally aiming to provide a fundamental basis for another important branch of Physics, namely Thermodynamics, SP gradually became an independent field of research in its own right. But despite more than a century of steady progress, there are still plenty of challenges and open questions in the SP realm. In fact, the area is still rapidly evolving, in contrast to other branches of science, which already have well defined scopes and borderlines of applicability. This difference is due to the steadily expanding num

Contents:

Preface; CONTENTS; Part A Further advances in the analysis of traditional problems in statistical physics; Comparing methods and Monte Carlo algorithms at phase transition regimes: A general overview; 1. Introduction; 2. General aspects of phase transitions; 3. Model; 4. Algorithms; 4.1. One-flip algorithms; 4.2. Cluster algorithms; 4.3. Parallel and simulated tempering algorithms; 5. Numerical results; 6. Conclusion and perspectives; Acknowledgments; References; Density of states of the Ising model in the field; 1. Introduction; 2. Scaling of the Density of States for Zero Field

3. Ising Model in the Field4. Conclusion; References; A renormalization group study of the three-color Ashkin-Teller model on a Wheatstone hierarchical lattice; 1. Introduction; 2. The model and the renormalization group relations; 3. Results and the phase diagram; 4. Ending Comments; Acknowledgments; References; Applying Virial theorem in continuous potential of two scales; 1. Introduction; 1.1. The Model; 1.2. Details of Simulations; 1.3. Virial Theorem; 2. Results and Discussion; 2.1. Pressure-Temperature Phase Diagram; 2.2. Density Anomaly; 2.3. Diffusion Anomaly; 2.4. Structural Anomaly

2.5. Critical Point3. Conclusions; Acknowledgements; References; Elementary statistical models for nematic transitions in liquid-crystalline systems; 1. Introduction; 2. An elementary statistical model; 3. Statistical models for mixtures of rods and disks; 4. Phase transitions of nematic elastomers; 5. Summary; Acknowledgements:; References; Phase diagram and layer-thinning transitions in free-standing liquid crystal films; 1. Introduction; 1.1. Classification of liquid crystals: symmetry and structures; 1.2. Phase transitions in liquid crystals; 1.3. Free-standing smectic films

2. Phase-Diagram of Free-Standing Smectic Films3. Layer Thinning Transition on Free-Standing Smectic Films; 3.1. Field-induced layer-thinning transitions; 4. Final Remarks/Summary and Conclusions; Acknowledgements; References; On some experimental reasons for an inhomogeneous structure of ambient water on the nanometer length scale; 1. Introduction; 2. Experimental methods and data; 2.1. The vibrational density of states (vDOS); 2.2. The sound dispersion; 3. Conclusions; Acknowledgments; References

Polyamorphism and polymorphism of a confined water monolayer: liquid-liquid critical point, liquid-crystal and crystal-crystal phase transitions1. An overview of water; 1.1. Thermodynamic anomalies; 1.2. Dynamic anomalies; 1.3. Structural anomalies, polymorphism and polyamorphism; 2. Origin of water anomalies; 3. A many-body model for confined water; 4. Simulation details; 5. Results about the polyamorphism and the thermodynamics; 5.1. Phase diagram; 5.2. Polyamorphism and the liquid- liquid critical point; 5.3. The correlation length and the Widom line; 5.4. The critical region

6. Study of the structural properties

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on print version record.

ISBN:

981-4590-14-2