The static and dynamic response of cluster glass in ${\mathrm{La}}_{0.5}$${\mathrm{Sr}}_{0.5}$${\mathrm{CoO}}_{3}$ has been experimentally investigated through linear nonlinear ac susceptibility measurements the frequency range 137 Hz to 1370 Hz; field (1--10 Oe), dc (0--40 Oe). Field cooled zero magnetization data have also reported. An attempt made compare with spin glass, reentrant canted systems. interesting observation is that system, coercivity at low fields under condition does not...

This review presents an overview of the current research in kinetic exchange models for opinion formation a society. The begins with brief introduction to previous and subsequently provides in-depth discussion progress achieved Biswas-Chatterjee-Sen model proposed 2012, also known as BChS some later publications. unique feature is its inclusion negative interaction between agents. covers various topics, including phase transitions different states, critical behavior dependent on parameters,...

We study a model of continuous opinion dynamics with both positive and negative mutual interactions. The shows phase transition between consensus (order) having no (disorder). mean field version the was already studied. Using extensive numerical simulations, we same in two three dimensions. critical points transitions for various cases associated exponents have been estimated. universality class is found to be as Ising respective

The linear and nonlinear ac susceptibilities of the canted-spin system Ce(${\mathrm{Fe}}_{0.96}$${\mathrm{Al}}_{0.04}$${)}_{2}$ have been measured using mutual-inductance-bridge method as a function temperature (50--100 K), frequency (19--1370 Hz) with different static biasing fields (12--36 Oe) well in range 4 to 24 Oe. An attempt has made compare ``canted-spin'' so-called ``reentrant spin-glass system'' from ac-susceptibility point view, since ``canting'' plays significant role reentrant...

Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-dimensional driven single-file motion. We study a periodic TASEP with two road blocks or defects of different kinds, one point and another extended, across which particle flows are inhibited. show how interplay between number conservation competition leads to inhomogeneous steady states localized domain walls (LDW). The LDW locations jump discontinuously, indicating discontinuous transition these states, as system...

We study the critical behavior of Sherrington-Kirkpatrick model in transverse field (at finite temperature) using Monte Carlo simulation and exact diagonalization zero temperature). determine phase diagram by estimating Binder cumulant. also correlation length exponent from collapse scaled data. Our numerical studies here indicate that cumulant (indicating universality class transition behavior) cross over their `classical' to `quantum' values at a temperature (unlike cases pure systems...

dc and ac magnetization measurements were performed on single-crystal Cu${}_{2}$OSeO${}_{3}$ under magnetic field ($H$) hydrostatic pressure ($P$) conditions. Increasing $H$ shifts the ferrimagnetic transition observed at ${T}_{C}~60$ K to a higher-temperature region. Moreover, ${T}_{C}$ increases linearly is enhanced with $P$. Features of ladder in $M$-vs-$H$ curve or peak $\mathit{dM}$/$\mathit{dH}$-vs-$H$ are ${H}_{\mathrm{SF}}~0.5$ kOe, suggesting competing ordered state fields below...

Formation of consensus, in binary yes-no type voting, is a well-defined process. However, even presence clear incentives, the dynamics involved can be incredibly complex. Specifically, formations large groups similarly opinionated individuals could create condition "support-bubbles" or spontaneous polarization that renders consensus virtually unattainable (e.g., question UK exiting EU). There have been earlier attempts capturing formation societies through simple Z_{2}-symmetric models...

Abstract We study nonequilibrium steady states in totally asymmetric exclusion processes (TASEPs) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying rates, we show that the are general classified by state currents direct analogy TASEPs uniform calculate bulk density profiles, which now nonuniform. also obtain phase diagrams plane of control parameters, which, despite boundaries curved lines, have same topology as their counterparts for...

We explore the behavior of order parameter distribution quantum Sherrington-Kirkpatrick model in spin glass phase using Monte Carlo technique for effective Suzuki-Trotter Hamiltonian at finite temperatures and that zero temperature obtained exact diagonalization method. Our numerical results indicate existence a low- but finite-temperature quantum-fluctuation-dominated ergodic region along with classical fluctuation-dominated high-temperature nonergodic model. In region, gets narrower around...

We analyze the many-body localization- (MBL) to-delocalization transition in Sherrington-Kirkpatrick (SK) model of Ising spin glass presence a transverse field $\mathrm{\ensuremath{\Gamma}}$. Based on energy-resolved analysis, which is relevance for closed quantum system, we show that SK has mobility edges separating MBL phase, nonergodic and nonthermal, from delocalized ergodic thermal. The range regime increases with an increase strength $\mathrm{\ensuremath{\Gamma}}$, eventually...

We report the numerical results for steady-state income or wealth distribution [Formula: see text] and resulting inequality measures (Gini Kolkata indices) in kinetic exchange models of market dynamics. study variations indices with saving propensity agents, two different kinds trade (kinetic exchange) In first case, occurs between randomly chosen pairs agents next, one pair is poorest all other agent picked up from rest population (where, steady state, a self-organized poverty level SOPL...

We study the stochastically driven conserved Kardar-Parisi-Zhang (CKPZ) equation with quenched disorders. Short-ranged disorders are found to be a relevant perturbation on pure CKPZ at one dimension and, as result, different universality class from appears emerge. At higher dimensions, disorder turns out ineffective influence universal scaling. This results in asymptotic long wavelength scaling given by linear theory, scenario identical equation. For sufficiently long-ranged disorders, is...

We first review, following our earlier studies, the critical behavior of quantum Sherrington-Kirkpatrick (SK) model at finite as well zero temperatures. Through analysis Binder cumulant we determined entire phase diagram and from scaling numerical data obtained correlation length exponent. For both exponent, observed a crossover classical- to quantum-fluctuation-dominated values temperature. studied order parameter distribution in glass (at temperatures). Along with...

We propose and study a one-dimensional (1D) model consisting of two lanes with open boundaries. One the executes diffusive other lane driven unidirectional or asymmetric exclusion dynamics, which are mutually coupled through particle exchanges in bulk. elucidate generic nonuniform steady states this model. show that parameter regime, where hopping along TASEP lane, diffusion SEP exchange particles between compete, diffusivity $D$ appears as tuning for both densities given rate nonequilibrium...

This work explores the universal critical dynamics of nonconserved O(N) order parameter with cubic anisotropy in presence rotational symmetry-breaking quenched disorders. The authors show that disorder induces a thresholdless instability fixed point model without such disorder.

We consider an inhomogeneous asymmetric exclusion processes in a closed geometry with point and extended defects across which the hopping rates are less than elsewhere. study stationary density profiles that result from competition between defects. By using minimum current principle, we identify conditions of existence localised shock or domain wall. further elucidate delocalisation these walls, when strengths follow certain mutual relationship, originates again principle. show case system...

We explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. calculate steady state density profiles that characterise associated phases. show contrast to low high phases, profile maximal current phase can be discontinuous, even when space-dependent rate is continuous. The diagrams plane of control parameters universal topology. transitions are explored. further investigate domain walls, which...

We introduce here very briefly, through some selective choices of problems and the sample computer simulation programs (following request editor for this invited review in Journal Physics Through Computation), newly developed field econophysics. Though related attempts could be traced much earlier (see Appendix), formal researches econophysics started 1995. hope, readers (students \& researchers) can start themselves to enjoy excitement, given, eventually undertake frontier problems,...