Abstract:A system is considered in which transitions between two states occur through two reaction channels. Because
of coupling with an external process which consists of cyclic switching between two regimes (each characterized
by a certain fixed set of rate constants), the net circulation flux arises in the system even in the absence of
an external generalized force. Such a mechanism underlying a catalytic wheel of many biological processes
is considered as a Brownian motor. The basic operational motor characteristic… Show more
“…Also, we reproduce the conclusions of 1-4 by keeping the dependence of τ k on ∆Q. Note that the changes in (22) should respect the linear regime:…”
Section: Maximization Of the Particle Currentmentioning
confidence: 62%
“…If our machine is supposed to work in such an uncertain environment, the only possibility to ensure its optimal functioning is to assume that its structure S changes and adjusts the energy difference to ∆E =μ ′ after each environmental changeμ →μ ′ ; see (22). Then the current is maximal under each environment.…”
Section: Structural Degree Of Freedom a Master Equationmentioning
confidence: 99%
“…To quantify this aspect, we need to specify the statistics of environmental changes. For simplicity we assume that in (22) …”
We study the minimal thermodynamically consistent model for an adaptive machine that transfers particles from a higher chemical potential reservoir to a lower one. This model describes essentials of the inhomogeneous catalysis. It is supposed to function with the maximal current under uncertain chemical potentials: if they change, the machine tunes its own structure fitting it to the maximal current under new conditions. This adaptation is possible under two limitations. i) The degree of freedom that controls the machine's structure has to have a stored energy (described via a negative temperature). The origin of this result is traced back to the Le Chatelier principle. ii) The machine has to malfunction at a constant environment due to structural fluctuations, whose relative magnitude is controlled solely by the stored energy. We argue that several features of the adaptive machine are similar to those of living organisms (energy storage, aging).
“…Also, we reproduce the conclusions of 1-4 by keeping the dependence of τ k on ∆Q. Note that the changes in (22) should respect the linear regime:…”
Section: Maximization Of the Particle Currentmentioning
confidence: 62%
“…If our machine is supposed to work in such an uncertain environment, the only possibility to ensure its optimal functioning is to assume that its structure S changes and adjusts the energy difference to ∆E =μ ′ after each environmental changeμ →μ ′ ; see (22). Then the current is maximal under each environment.…”
Section: Structural Degree Of Freedom a Master Equationmentioning
confidence: 99%
“…To quantify this aspect, we need to specify the statistics of environmental changes. For simplicity we assume that in (22) …”
We study the minimal thermodynamically consistent model for an adaptive machine that transfers particles from a higher chemical potential reservoir to a lower one. This model describes essentials of the inhomogeneous catalysis. It is supposed to function with the maximal current under uncertain chemical potentials: if they change, the machine tunes its own structure fitting it to the maximal current under new conditions. This adaptation is possible under two limitations. i) The degree of freedom that controls the machine's structure has to have a stored energy (described via a negative temperature). The origin of this result is traced back to the Le Chatelier principle. ii) The machine has to malfunction at a constant environment due to structural fluctuations, whose relative magnitude is controlled solely by the stored energy. We argue that several features of the adaptive machine are similar to those of living organisms (energy storage, aging).
“…Кроме того, развитие теории таких наноустройств является необходимым для разработки искусственных молеку-лярных и наноразмерных механизмов, движением ко-торых можно управлять путем подведения к ним энер-гии и информации. На подобном принципе основана электроконформационная модель [6][7][8][9], объясняющая работу молекулярного насоса, управляемого флуктуа-циями электрического поля [10,11]. В работах [12,13] анализировалась упрощенная модель молекулярного насоса, в которой флуктуации потенциала внутри клеточной мембраны могут инициировать движение ионов против их градиента концентраций на границах мембраны или, по крайней мере, препятствовать их движению через мембрану.…”
Section: анализ литературных данныхunclassified
“…Поток мотора обращается в нуль, тогда как поток насоса экспоненциально увеличивается с увеличением амплитуды потенциала. Отметим, что в этом частном случае броуновская динамика насоса описывается точ-ными аналитическими соотношениями во всей области частот флуктуаций знака потенциала [10]. а б Рис.…”
Section: сравнение работы броуновского мотора и насоса в приближении unclassified
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