First passage in the presence of stochastic resetting and a potential barrier

Ahmad, Saeed; Rijal, Krishna; Das, Dibyendu

doi:10.48550/arxiv.2202.03766

Cited by 1 publication

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“…The locus of these TCPs was found to come closer on changing h and dissappear eventually. This kind of behaviour was recently seen in non-equilibrium transitions in the resetting problem [51]. It would be interesting to look at the first order wings originating from these TCPS and BEPs by applying a uniform external field as was done in the case of bimodal random crystal field Blume-Capel model [49].…”

Section: Discussionmentioning

confidence: 69%

Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields

Mukherjee

2022

Preprint

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We obtain the phase diagram for the infinite range random field Blume capel (RFBC) model for the symmetric trimodal distribution of the random field (h) in the temperature (T )-crystal field (∆) and T − h planes. We find 4 ordered and 2 disordered phases in the model at T = 0. Depending on the disorder strength, there are 5 different ground state phase diagrams in the ∆ − h plane. The T − ∆ and T − h phase diagrams also can be classified into 5 different categories as a function of the strength of the disorder, consistent with the 5 different ground state phase diagrams. The phase diagrams at finite temperature consist of lines of first order and second order transitions, multicritical points like tricritical point, bicritical points, critical end point, and also many multiphase coexistence points. We find re-entrance in the T −h phase diagram for the symmetric trimodal distribution for some values of ∆. We also studied the Gaussian distribution of the random field. In contrast, the ground state for the Gaussian distribution consists of only one ordered and one disordered phase. At low disorder strength (σ) the T − ∆ phase diagram has a line of first order and a line of second order transitions, separated by a TCP. However at higher σ the phase diagram only has a line of second order transition. In general the phase diagram of the random field problems is expected to be similar for symmetric distributions as has been observed for the random field O(n) models. In the case of RFBC we find that while for Gaussian distribution, the phase diagram is similar to the phase diagram of the infinite range random field Ising model (RFIM) with the bimodal random field distribution, for the symmetric trimodal distribution there are many different T − ∆ and T − h phase diagrams with multiple multicritical and multi-phase coexistence points.

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Section: Discussionmentioning

confidence: 69%

Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields

Mukherjee

2022

Preprint

View full text Add to dashboard Cite

show abstract

First passage in the presence of stochastic resetting and a potential barrier

Cited by 1 publication

References 29 publications

Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields

Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields

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