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Many physical systems, including some examples of active matter, granular assemblies, and biological systems, show fluctuation-dominated phase ordering (FDPO), where macroscopic fluctuations coexist with long-range order. Most of these…

Statistical Mechanics · Physics 2025-07-14 Souvik Sadhukhan , Mustansir Barma , Saroj Kumar Nandi

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong…

Statistical Mechanics · Physics 2023-07-21 Mustansir Barma

We study a new kind of phase ordering phenomenon in coarse-grained depth (CD) models of the hill-valley profile of fluctuating surfaces with zero overall tilt, and for hard-core particles sliding on such surfaces under gravity. For…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Mustansir Barma , Satya N. Majumdar

In systems exhibiting fluctuation-dominated phase ordering, a single order parameter does not suffice to characterize the order, and it is necessary to monitor a larger set. For hard-core sliding particles (SP) on a fluctuating surface and…

Statistical Mechanics · Physics 2016-02-17 Rajeev Kapri , Malay Bandyopadhyay , Mustansir Barma

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and…

Statistical Mechanics · Physics 2009-10-31 Dibyendu Das , Mustansir Barma

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter correlation function along the transition line of mixed order…

Statistical Mechanics · Physics 2019-09-04 Mustansir Barma , Satya N. Majumdar , David Mukamel

Phase separation driven by nonequilibrium fluctuations is a hallmark of both living and synthetic active matter. Unlike equilibrium systems, where ordered states arise from the minimization of free energy, active systems are fueled by a…

We study the dynamics of a system of hard-core particles sliding downwards on a one dimensional fluctuating interface, which in a special case can be mapped to the problem of a passive scalar advected by a Burgers fluid. Driven by the…

Statistical Mechanics · Physics 2009-11-11 Sakuntala Chatterjee , Mustansir Barma

We show that domain walls separating coexisting extremal current phases in driven diffusive systems exhibit complex stochastic dynamics, with a subdiffusive temporal growth of position fluctuations due to long-range anticorrelated current…

Statistical Mechanics · Physics 2025-03-14 Sören Schweers , David F. Locher , Gunter M. Schütz , Philipp Maass

Domain-wall dynamics and spatial fluctuations are closely related to each other and to universal features of disordered systems. Experimentally measured roughness exponents characterizing spatial fluctuations have been reported for magnetic…

Disordered Systems and Neural Networks · Physics 2021-07-09 Lucas J. Albornoz , Pamela C. Guruciaga , Vincent Jeudy , Javier Curiale , Sebastian Bustingorry

The large scale fluctuations of the ordered state in active matter systems are usually characterised by studying the "giant number fluctuations" of particles in any finite volume, as compared to the expectations from the central limit…

Soft Condensed Matter · Physics 2018-05-25 Supravat Dey , Dibyendu Das , R. Rajesh

We investigate the diffusion coefficient of the time integral of the Kuramoto order parameter in globally coupled nonidentical phase oscillators. This coefficient represents the deviation of the time integral of the order parameter from its…

Chaotic Dynamics · Physics 2012-04-03 Isao Nishikawa , Gouhei Tanaka , Takehiko Horita , Kazuyuki Aihara

We employ molecular dynamics simulations to investigate the domain morphology and growth kinetics of a vapor-liquid system embedded within a complex porous medium. By systematically varying the pore structure, we analyze the scaling…

Soft Condensed Matter · Physics 2025-06-12 Preethi M , Bhaskar Sen Gupta

We study the dynamics of domain growth when multipole moments of the order parameter are conserved. Following a quench into the ordered phase of the Ising model, the typical size of domains grows with time as $R(t) \sim t^{1/2}$ in the…

Statistical Mechanics · Physics 2026-04-14 Jacopo Gliozzi , Federico Balducci , Giuseppe De Tomasi

We study phase separation in a system of hard-core particles driven by a fluctuating two-dimensional self-affine potential landscape which evolves through Kardar-Parisi-Zhang (KPZ) dynamics. We find that particles tend to cluster together…

Statistical Mechanics · Physics 2007-05-23 G. Manoj , Mustansir Barma

Thermal fluctuations are known to play an important role in low-dimensional systems which may undergo incommensurate-commensurate or (for an accidentally commensurate wavevector) lock-in transitions. In particular, an intermediate floating…

Statistical Mechanics · Physics 2007-05-23 T. Nattermann , T. Emig , S. Bogner

Magnetic fluctuations near to quantum criticality can have profound effects. They lead to characteristic scaling at high temperature which may ultimately give way to a reconstruction of the phase diagram and the formation of new phases at…

Strongly Correlated Electrons · Physics 2015-06-15 G. J. Conduit , C. J. Pedder , A. G. Green

A lattice boson model is used to study ordering phenomena in regular 2D array of superconductive mesoscopic granules, Josephson junctions or pores filled with a superfluid helium. Phase diagram of the system, when quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

In the vicinity of a phase transition, the order parameter starts fluctuating before vanishing at the critical point. The fluctuation regime, i.e. the way the ordered phase disappears, is a characteristics of a transition, and determines…

Surface and size effect on the order parameter fluctuations and critical phenomena in the intensively studied 3D-confined nanosized systems with long-range order was not considered theoretically, while the calculations for bulk samples and…

Materials Science · Physics 2015-05-13 A. N. Morozovska , E. A. Eliseev
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