Abnormal fluctuations and thermodynamic phase transitions in dynamical systems

The renormalization group (RG) method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and bifurcations in dynamical systems. The Theme Issue provides articles reviewing recent progress made using the RG method in atomic, condensed matter, nuclear and particle physics. In the following, we introduce these articles in a way that emphasizes common themes and the universal aspects of the method.

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Acceleration Algorithms in Monte Carlo Simulations in Statistical Physics

International Journal of Modern Physics C ◽

10.1142/s0129183191000172 ◽

1991 ◽

Vol 02 (01) ◽

pp. 201-208

Author(s):

ROBERT H. SWENDSEN

Keyword(s):

Monte Carlo ◽

Phase Transitions ◽

Monte Carlo Simulations ◽

Statistical Physics ◽

Relaxation Times ◽

Critical Slowing Down ◽

Cluster Approach ◽

New Developments ◽

Slowing Down ◽

Thermodynamic Phase

Monte Carlo simulations of thermodynamic phase transitions are usually hampered by long relaxation times due to the phenomenon of “critical slowing down.” Using a mapping due to Fortuin and Kasteleyn, a cluster approach to Monte Carlo simulations has been developed, which greatly reduces relaxation times, improving efficiency by up to two or three orders of magnitude. New developments and extensions of this approach are also discussed.

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Implications of new phase transitions approach onto specific black holes

Modern Physics Letters A ◽

10.1142/s0217732320503265 ◽

2020 ◽

Vol 35 (39) ◽

pp. 2050326

Author(s):

Abdul Jawad ◽

Shahid Chaudhary

Keyword(s):

Black Holes ◽

Phase Transitions ◽

Critical Points ◽

Theoretical Physics ◽

Open Questions ◽

Standard Relation ◽

Classical Gravity ◽

Quantum Interpretation ◽

Thermodynamic Phase ◽

New Phase

Among many open questions in theoretical physics, consistent quantum gravity theory is still a major issue to be solved. Recent major works in phase transitions of black holes (BH) can be helpful for quantum interpretation of classical gravity. We study the new effective method to discuss the thermodynamic phase transitions onto well renowned regular BHs. Ordinary approaches of phase transitions depend upon equation of state and it is impossible to obtain all critical points with ordinary approaches. This study is derived from the slope of temperature versus entropy and it provides the possibility of finding all the critical points analytically. This technique provides pressure, which is different from standard relation of pressure and independent of other thermodynamical relations. We discuss some issues in ordinary methods and provide an easy approach to investigate the critical behavior of thermodynamical quantities. We find out the phase transitions points and horizon radii of non-physical range for BHs. We also use the new thermodynamical relations to briefly study well-known Joule–Thomson (JT) effect on regular BH.

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Shear-induced structural and thermodynamic phase transitions in micellar systems

The European Physical Journal E ◽

10.1140/epje/i2017-11508-6 ◽

2017 ◽

Vol 40 (2) ◽

Cited By ~ 1

Author(s):

Angelina Martín del Campo ◽

J. Paulo García-Sandoval ◽

J. F. Armando Soltero ◽

Fernando Bautista ◽

Octavio Manero ◽

...

Keyword(s):

Phase Transitions ◽

Micellar Systems ◽

Thermodynamic Phase

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Heads Up!

Experimental Psychology (formerly Zeitschrift für Experimentelle Psychologie) ◽

10.1027/1618-3169/a000357 ◽

2017 ◽

Vol 64 (3) ◽

pp. 184-190 ◽

Cited By ~ 3

Author(s):

Jeffrey B. Wagman ◽

Alex Dayer ◽

Alen Hajnal

Keyword(s):

Phase Transitions ◽

Dynamical Systems ◽

Systems Perspective ◽

Nonlinear Phase ◽

External Objects ◽

Inclined Surface ◽

Perceptual Systems

Abstract. Possibilities for behavior (i.e., affordances) can be perceived with units spanning anatomical components and external objects. For example, affordances for standing on an inclined surface can be perceived with an object held in the hand or attached to the head. We investigated whether these two person-plus-object perceptual systems exhibit the same pattern of nonlinear phase transitions in perception of this affordance. Blindfolded participants explored an inclined surface with a rod held in the hand or attached to the head and reported whether they could stand on that surface. Inclinations were presented in ascending or descending sequences. In both conditions, responses exhibited negative hysteresis – perceptual boundaries occurred at steeper angles for descending than for ascending sequences. The generalization of this pattern across components that differ in physiology, sensitivity, and experience is consistent with both the soft assembly of perceptual devices and with a dynamical systems perspective on perception of affordances.

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Structures and thermodynamic phase transitions for oxygen and silver oxide phases on Ag{1 1 1}

Chemical Physics Letters ◽

10.1016/s0009-2614(02)01699-8 ◽

2003 ◽

Vol 367 (3-4) ◽

pp. 344-350 ◽

Cited By ~ 91

Author(s):

A Michaelides ◽

M.-L Bocquet ◽

P Sautet ◽

A Alavi ◽

D.A King

Keyword(s):

Phase Transitions ◽

Silver Oxide ◽

Oxide Phases ◽

Thermodynamic Phase

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Synchronization and Chaotization in Interacting Dynamical Systems

Applied Mechanics Reviews ◽

10.1115/1.3005090 ◽

1995 ◽

Vol 48 (11) ◽

pp. 733-752 ◽

Cited By ~ 82

Author(s):

I. I. Blekhman ◽

P. S. Landa ◽

M. G. Rosenblum

Keyword(s):

Phase Transitions ◽

Dynamical Systems ◽

Review Article ◽

Chaotic Motions ◽

Synchronization Phenomenon

Synchronization of systems executing periodic and chaotic motions, both oscillatory and rotatory, is considered from the general standpoint in this review article. It is shown that the synchronization phenomenon goes hand in hand with the phenomenon of chaotization. The analogy of synchronization and phase transitions is shown. Several mechanical and physical examples are discussed.

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