scholarly journals The role of pinning and instability in a class of non-equilibrium growth models

2002 ◽  
Vol 29 (4) ◽  
pp. 567-576 ◽  
Author(s):  
A.K. Chattopadhyay
2013 ◽  
Vol 24 (3) ◽  
pp. 437-453 ◽  
Author(s):  
CARLOS ESCUDERO ◽  
ROBERT HAKL ◽  
IRENEO PERAL ◽  
PEDRO J. TORRES

We present the formal geometric derivation of a non-equilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of non-equilibrium statistical mechanics.


2020 ◽  
pp. 72-81
Author(s):  
G.G. Kamkin ◽  

The article is devoted to the analysis of urban “highways-barriers” (on the example of the South-West of Moscow) – the largest highways and railways, which are characterized by a combination of a high level of contact and barrier functions. Three of their key functions are identified: limiting, stabilizing, function of unevenness and no equilibrium growth. The main transport hubs have been identified on the basis of which highway barriers are divided according to the degree of contact (barrier) into three categories. It is shown that, as a rule, the larger the spatial size of the highway-barrier, the larger its volume of traffic flow, however, there are many exceptions. In the South-West of Moscow, with a relatively even settlement, the placement of metro stations plays a key role in overcoming the barrier. On less significant highways, the role of metro stations in overcoming the barrier is especially great. In some areas, highways-barriers form barrier topological tiers. A key feature of the South-West of Moscow is the presence of two barrier tiers. Inside the first barrier tier there are objects that mark it as a special urban area. A characteristic part of the first tier is the approach to the periphery in the area where Leninsky Prospekt and Vernadsky Prospekt meet. The second barrier tier is quite small and in- cludes the area between the Cheremushkinskiy market and Profsoyuznaya street. The existing system of highways-barriers was formed by the time of registration in 1968–1970. South-West of Moscow as a whole and manifests itself at the present time.


2014 ◽  
Vol 141 (6) ◽  
pp. 065102 ◽  
Author(s):  
Luciana Renata de Oliveira ◽  
Armando Bazzani ◽  
Enrico Giampieri ◽  
Gastone C. Castellani

2013 ◽  
Vol 102 (6) ◽  
pp. 67003
Author(s):  
Jia Wang ◽  
Yue Yang ◽  
Yao Yao ◽  
Chang-Qin Wu

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 433 ◽  
Author(s):  
Lee Jinwoo

Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control. They considered a process where a non-equilibrium system exchanges information with other degrees of freedom such as an observer or a feedback controller. They proved the fluctuation theorem of information exchange under the assumption that the state of the other degrees of freedom that exchange information with the system does not change over time while the states of the system evolve in time. Here we relax this constraint and prove that the same form of the fluctuation theorem holds even if both subsystems co-evolve during information exchange processes. This result may extend the applicability of the fluctuation theorem of information exchange to a broader class of non-equilibrium processes, such as a dynamic coupling in biological systems, where subsystems that exchange information interact with each other.


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